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10059157440 = 263253794399
BaseRepresentation
bin10010101111001001…
…01000111111000000
3221222001002010212200
421113210220333000
5131100121014230
64342054353200
7504163266423
oct112744507700
927861063780
1010059157440
1142a214a962
121b4895b800
13c44030a87
146b5d619ba
153dd196160
hex257928fc0

10059157440 has 168 divisors, whose sum is σ = 35534803200. Its totient is φ = 2609915904.

The previous prime is 10059157439. The next prime is 10059157513. The reversal of 10059157440 is 4475195001.

10059157440 is a `hidden beast` number, since 10 + 0 + 59 + 157 + 440 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 10059157395 and 10059157404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59361 + ... + 153759.

Almost surely, 210059157440 is an apocalyptic number.

10059157440 is a gapful number since it is divisible by the number (10) 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 10059157440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17767401600).

10059157440 is an abundant number, since it is smaller than the sum of its proper divisors (25475645760).

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

10059157440 is a wasteful number, since it uses less digits than its factorization.

10059157440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94459 (or 94446 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 10059157440 in words is "ten billion, fifty-nine million, one hundred fifty-seven thousand, four hundred forty".