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107377237872 = 2434269308003
BaseRepresentation
bin110010000000000101…
…1101001111101110000
3101021011022012212010000
41210000023221331300
53224402033102442
6121154534510000
710520623314432
oct1440013517560
9337138185100
10107377237872
11415a1719103
1218988505300
13a183017558
1452a8b38652
152bd6c1cd4c
hex19002e9f70

107377237872 has 100 divisors (see below), whose sum is σ = 311937211080. Its totient is φ = 35659239552.

The previous prime is 107377237867. The next prime is 107377237889. The reversal of 107377237872 is 278732773701.

107377237872 is a `hidden beast` number, since 107 + 37 + 72 + 378 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 194623 + ... + 502625.

Almost surely, 2107377237872 is an apocalyptic number.

107377237872 is a gapful number since it is divisible by the number (12) 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 107377237872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155968605540).

107377237872 is an abundant number, since it is smaller than the sum of its proper divisors (204559973208).

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

107377237872 is a wasteful number, since it uses less digits than its factorization.

107377237872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308292 (or 308277 counting only the distinct ones).

The product of its (nonzero) digits is 4840416, while the sum is 54.

The spelling of 107377237872 in words is "one hundred seven billion, three hundred seventy-seven million, two hundred thirty-seven thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 269 324 432 538 648 807 1076 1296 1614 2152 2421 3228 4304 4842 6456 7263 9684 12912 14526 19368 21789 29052 38736 43578 58104 87156 116208 174312 308003 348624 616006 924009 1232012 1848018 2464024 2772027 3696036 4928048 5544054 7392072 8316081 11088108 14784144 16632162 22176216 24948243 33264324 44352432 49896486 66528648 82852807 99792972 133057296 165705614 199585944 248558421 331411228 399171888 497116842 662822456 745675263 994233684 1325644912 1491350526 1988467368 2237025789 2982701052 3976934736 4474051578 5965402104 6711077367 8948103156 11930804208 13422154734 17896206312 26844309468 35792412624 53688618936 107377237872