Search a number
-
+
109992606367760 = 24529719439115017
BaseRepresentation
bin11001000000100110100110…
…001110110000000000010000
3112102110012010212010100101222
4121000212212032300000100
5103404104324212232020
61025533523352344212
732111463215626454
oct3100464616600020
9472405125110358
10109992606367760
113205766987a926
12104053793a5068
13494b34857643c
141d23955dda664
15cab260591b25
hex6409a63b0010

109992606367760 has 160 divisors (see below), whose sum is σ = 264997103385600. Its totient is φ = 42408336158720.

The previous prime is 109992606367753. The next prime is 109992606367783. The reversal of 109992606367760 is 67763606299901.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7324531772 + ... + 7324546788.

It is an arithmetic number, because the mean of its divisors is an integer number (1656231896160).

Almost surely, 2109992606367760 is an apocalyptic number.

109992606367760 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 109992606367760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132498551692800).

109992606367760 is an abundant number, since it is smaller than the sum of its proper divisors (155004497017840).

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

109992606367760 is a wasteful number, since it uses less digits than its factorization.

109992606367760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20169 (or 20163 counting only the distinct ones).

The product of its (nonzero) digits is 277766496, while the sum is 71.

The spelling of 109992606367760 in words is "one hundred nine trillion, nine hundred ninety-two billion, six hundred six million, three hundred sixty-seven thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 719 1160 1438 2320 2876 3595 4391 5752 7190 8782 11504 14380 15017 17564 20851 21955 28760 30034 35128 41702 43910 57520 60068 70256 75085 83404 87820 104255 120136 127339 150170 166808 175640 208510 240272 254678 300340 333616 351280 417020 435493 509356 600680 636695 834040 870986 1018712 1201360 1273390 1668080 1741972 2037424 2177465 2546780 3157129 3483944 4354930 5093560 6314258 6967888 8709860 10187120 10797223 12628516 15785645 17419720 21594446 25257032 31571290 34839440 43188892 50514064 53986115 63142580 65939647 86377784 91556741 107972230 126285160 131879294 172755568 183113482 215944460 252570320 263758588 313119467 329698235 366226964 431888920 457783705 527517176 626238934 659396470 732453928 863777840 915567410 1055034352 1252477868 1318792940 1464907856 1565597335 1831134820 1912249763 2504955736 2637585880 3131194670 3662269640 3824499526 5009911472 5275171760 6262389340 7324539280 7648999052 9561248815 12524778680 15297998104 19122497630 25049557360 30595996208 38244995260 47410606193 76489990520 94821212386 152979981040 189642424772 237053030965 379284849544 474106061930 758569699088 948212123860 1374907579597 1896424247720 2749815159194 3792848495440 5499630318388 6874537897985 10999260636776 13749075795970 21998521273552 27498151591940 54996303183880 109992606367760