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10055691216 = 2434173114723
BaseRepresentation
bin10010101110101110…
…11010101111010000
3221221210120001010000
421113113122233100
5131043224104331
64341452210000
7504121652004
oct112727325720
927853501100
1010055691216
1142a01a270a
121b47769900
13c433b915c
146b56dc704
153dcc0e0e6
hex2575dabd0

10055691216 has 200 divisors, whose sum is σ = 31812321024. Its totient is φ = 3052753920.

The previous prime is 10055691203. The next prime is 10055691223. The reversal of 10055691216 is 61219655001.

10055691216 is a `hidden beast` number, since 1 + 0 + 0 + 556 + 91 + 2 + 16 = 666.

It is a super-2 number, since 2×100556912162 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 675631 + ... + 690353.

Almost surely, 210055691216 is an apocalyptic number.

10055691216 is a gapful number since it is divisible by the number (16) 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 10055691216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15906160512).

10055691216 is an abundant number, since it is smaller than the sum of its proper divisors (21756629808).

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

10055691216 is a wasteful number, since it uses less digits than its factorization.

10055691216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14791 (or 14776 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The spelling of 10055691216 in words is "ten billion, fifty-five million, six hundred ninety-one thousand, two hundred sixteen".