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113671211426000 = 2453793372134831
BaseRepresentation
bin11001110110001000100100…
…001011011010000011010000
3112220110212021011112100222122
4121312020210023122003100
5104344342120111113000
61041431500021353412
732641321404665564
oct3166104413320320
9486425234470878
10113671211426000
11332457654a1848
12108ba2aa868868
134b571c2b6b307
14200da049596a4
15d21cb092b085
hex6762242da0d0

113671211426000 has 160 divisors (see below), whose sum is σ = 279162245806080. Its totient is φ = 44759699712000.

The previous prime is 113671211425903. The next prime is 113671211426011. The reversal of 113671211426000 is 624112176311.

It is a super-2 number, since 2×1136712114260002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52178585 + ... + 54313415.

It is an arithmetic number, because the mean of its divisors is an integer number (1744764036288).

Almost surely, 2113671211426000 is an apocalyptic number.

113671211426000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113671211426000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139581122903040).

113671211426000 is an abundant number, since it is smaller than the sum of its proper divisors (165491034380080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

113671211426000 is a wasteful number, since it uses less digits than its factorization.

113671211426000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2135270 (or 2135254 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The spelling of 113671211426000 in words is "one hundred thirteen trillion, six hundred seventy-one billion, two hundred eleven million, four hundred twenty-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 79 80 100 125 158 200 250 316 337 395 400 500 632 674 790 1000 1264 1348 1580 1685 1975 2000 2696 3160 3370 3950 5392 6320 6740 7900 8425 9875 13480 15800 16850 19750 26623 26960 31600 33700 39500 42125 53246 67400 79000 84250 106492 133115 134800 158000 168500 212984 266230 337000 425968 532460 665575 674000 1064920 1331150 2129840 2134831 2662300 3327875 4269662 5324600 6655750 8539324 10649200 10674155 13311500 17078648 21348310 26623000 34157296 42696620 53246000 53370775 85393240 106741550 168651649 170786480 213483100 266853875 337303298 426966200 533707750 674606596 719438047 843258245 853932400 1067415500 1349213192 1438876094 1686516490 2134831000 2698426384 2877752188 3373032980 3597190235 4216291225 4269662000 5755504376 6746065960 7194380470 8432582450 11511008752 13492131920 14388760940 16865164900 17985951175 21081456125 28777521880 33730329800 35971902350 42162912250 56835605713 57555043760 67460659600 71943804700 84325824500 89929755875 113671211426 143887609400 168651649000 179859511750 227342422852 284178028565 287775218800 337303298000 359719023500 454684845704 568356057130 719438047000 909369691408 1136712114260 1420890142825 1438876094000 2273424228520 2841780285650 4546848457040 5683560571300 7104450714125 11367121142600 14208901428250 22734242285200 28417802856500 56835605713000 113671211426000