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106572939881112 = 233264115643147617
BaseRepresentation
bin11000001110110101110010…
…001110010110101010011000
3111222100021101102022200000200
4120032311302032112222120
5102432042340102143422
61014354533243502200
731306432541244525
oct3016656216265230
9458307342280020
10106572939881112
1130a5936a237301
12bb52671b27960
134760a28b63573
141c4622d07414c
15c4c317b172ac
hex60ed72396a98

106572939881112 has 96 divisors (see below), whose sum is σ = 289105772838480. Its totient is φ = 35466385489920.

The previous prime is 106572939881087. The next prime is 106572939881123. The reversal of 106572939881112 is 211188939275601.

106572939881112 is a `hidden beast` number, since 1 + 0 + 6 + 57 + 2 + 9 + 398 + 81 + 112 = 666.

It is a super-2 number, since 2×1065729398811122 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106572939881112.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 721881928 + ... + 722029544.

Almost surely, 2106572939881112 is an apocalyptic number.

106572939881112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106572939881112 is an abundant number, since it is smaller than the sum of its proper divisors (182532832957368).

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

106572939881112 is a wasteful number, since it uses less digits than its factorization.

106572939881112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163913 (or 163906 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 63.

The spelling of 106572939881112 in words is "one hundred six trillion, five hundred seventy-two billion, nine hundred thirty-nine million, eight hundred eighty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 641 1282 1923 2564 3846 5128 5769 7692 11538 15384 15643 23076 31286 46152 46929 62572 93858 125144 140787 147617 187716 281574 295234 375432 442851 563148 590468 885702 1126296 1180936 1328553 1771404 2657106 3542808 5314212 10027163 10628424 20054326 30081489 40108652 60162978 80217304 90244467 94622497 120325956 180488934 189244994 240651912 283867491 360977868 378489988 567734982 721955736 756979976 851602473 1135469964 1703204946 2270939928 2309172731 3406409892 4618345462 6812819784 6927518193 9236690924 13855036386 18473381848 20782554579 27710072772 41565109158 55420145544 83130218316 166260436632 1480179720571 2960359441142 4440539161713 5920718882284 8881078323426 11841437764568 13321617485139 17762156646852 26643234970278 35524313293704 53286469940556 106572939881112