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10082255653536 = 2531111878043463
BaseRepresentation
bin1001001010110111010101…
…0001000100101010100000
31022200212001201202101202220
42102231311101010222200
52310141424421403121
633235420241111040
72060263460020263
oct222556521045240
938625051671686
1010082255653536
113237951521a80
12116a013028480
135819a26a9471
1426bdab6b0cda
151273e14736c6
hex92b75444aa0

10082255653536 has 96 divisors (see below), whose sum is σ = 28896240941568. Its totient is φ = 3052654698240.

The previous prime is 10082255653531. The next prime is 10082255653553. The reversal of 10082255653536 is 63535655228001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (10082255653531) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2768260 + ... + 5275203.

It is an arithmetic number, because the mean of its divisors is an integer number (301002509808).

Almost surely, 210082255653536 is an apocalyptic number.

10082255653536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10082255653536 is an abundant number, since it is smaller than the sum of its proper divisors (18813985288032).

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

10082255653536 is a wasteful number, since it uses less digits than its factorization.

10082255653536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8044674 (or 8044666 counting only the distinct ones).

The product of its (nonzero) digits is 6480000, while the sum is 51.

The spelling of 10082255653536 in words is "ten trillion, eighty-two billion, two hundred fifty-five million, six hundred fifty-three thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 1187 2374 3561 4748 7122 9496 13057 14244 18992 26114 28488 37984 39171 52228 56976 78342 104456 113952 156684 208912 313368 417824 626736 1253472 8043463 16086926 24130389 32173852 48260778 64347704 88478093 96521556 128695408 176956186 193043112 257390816 265434279 353912372 386086224 530868558 707824744 772172448 1061737116 1415649488 2123474232 2831298976 4246948464 8493896928 9547590581 19095181162 28642771743 38190362324 57285543486 76380724648 105023496391 114571086972 152761449296 210046992782 229142173944 305522898592 315070489173 420093985564 458284347888 630140978346 840187971128 916568695776 1260281956692 1680375942256 2520563913384 3360751884512 5041127826768 10082255653536