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10472724360 = 23335771109179
BaseRepresentation
bin10011100000011100…
…10001011110001000
31000000212021112001000
421300032101132020
5132422004134420
64451110455000
7520344455040
oct116016213610
930025245030
1010472724360
1144946418aa
122043364460
13cab912627
14714c58720
15414639690
hex270391788

10472724360 has 512 divisors, whose sum is σ = 41057280000. Its totient is φ = 2325335040.

The previous prime is 10472724331. The next prime is 10472724397. The reversal of 10472724360 is 6342727401.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 58506751 + ... + 58506929.

It is an arithmetic number, because the mean of its divisors is an integer number (80190000).

Almost surely, 210472724360 is an apocalyptic number.

10472724360 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 10472724360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20528640000).

10472724360 is an abundant number, since it is smaller than the sum of its proper divisors (30584555640).

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

10472724360 is a wasteful number, since it uses less digits than its factorization.

10472724360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 10472724360 in words is "ten billion, four hundred seventy-two million, seven hundred twenty-four thousand, three hundred sixty".