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76113508920 = 23354715238861
BaseRepresentation
bin100011011100010110…
…1111111101000111000
321021110110222212111220
41012320231333220320
52221340024241140
654544400352040
75333110102551
oct1067055775070
9237413885456
1076113508920
112a309100889
1212902315620
13723cba6957
143980931328
151ea71babd0
hex11b8b7fa38

76113508920 has 128 divisors (see below), whose sum is σ = 233378288640. Its totient is φ = 19849802240.

The previous prime is 76113508909. The next prime is 76113508937. The reversal of 76113508920 is 2980531167.

It is a super-2 number, since 2×761135089202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 8585290 + ... + 8594150.

It is an arithmetic number, because the mean of its divisors is an integer number (1823267880).

Almost surely, 276113508920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76113508920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116689144320).

76113508920 is an abundant number, since it is smaller than the sum of its proper divisors (157264779720).

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

76113508920 is a wasteful number, since it uses less digits than its factorization.

76113508920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10445 (or 10441 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The spelling of 76113508920 in words is "seventy-six billion, one hundred thirteen million, five hundred eight thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 94 120 141 188 235 282 376 470 564 705 940 1128 1410 1523 1880 2820 3046 4569 5640 6092 7615 8861 9138 12184 15230 17722 18276 22845 26583 30460 35444 36552 44305 45690 53166 60920 70888 71581 88610 91380 106332 132915 143162 177220 182760 212664 214743 265830 286324 354440 357905 416467 429486 531660 572648 715810 832934 858972 1063320 1073715 1249401 1431620 1665868 1717944 2082335 2147430 2498802 2863240 3331736 4164670 4294860 4997604 6247005 8329340 8589720 9995208 12494010 13495303 16658680 24988020 26990606 40485909 49976040 53981212 67476515 80971818 107962424 134953030 161943636 202429545 269906060 323887272 404859090 539812120 634279241 809718180 1268558482 1619436360 1902837723 2537116964 3171396205 3805675446 5074233928 6342792410 7611350892 9514188615 12685584820 15222701784 19028377230 25371169640 38056754460 76113508920