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10474738560 = 273651113157
BaseRepresentation
bin10011100000101011…
…11101001110000000
31000001000001212000000
421300111331032000
5132423013113220
64451222000000
7520400544246
oct116025751600
930030055000
1010474738560
114495798130
122043b76000
13cac169370
14715220796
154148d6390
hex27057d380

10474738560 has 896 divisors, whose sum is σ = 44389265760. Its totient is φ = 2329067520.

The previous prime is 10474738543. The next prime is 10474738579. The reversal of 10474738560 is 6583747401.

10474738560 is a `hidden beast` number, since 1 + 0 + 47 + 47 + 3 + 8 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 66718002 + ... + 66718158.

Almost surely, 210474738560 is an apocalyptic number.

10474738560 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 10474738560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22194632880).

10474738560 is an abundant number, since it is smaller than the sum of its proper divisors (33914527200).

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

10474738560 is a wasteful number, since it uses less digits than its factorization.

10474738560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 10474738560 in words is "ten billion, four hundred seventy-four million, seven hundred thirty-eight thousand, five hundred sixty".