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10475274240 = 22133537
BaseRepresentation
bin10011100000110000…
…00000000000000000
31000001001002001211000
421300120000000000
5132423132233430
64451241252000
7520405235064
oct116030000000
930031061730
1010475274240
114496023642
122044194000
13cac2c6132
1471531daa4
1541498ee60
hex270600000

10475274240 has 352 divisors, whose sum is σ = 38252043360. Its totient is φ = 2717908992.

The previous prime is 10475274233. The next prime is 10475274269. The reversal of 10475274240 is 4247257401.

10475274240 is a `hidden beast` number, since 10 + 47 + 527 + 42 + 40 = 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 = 10475274195 and 10475274204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 283115502 + ... + 283115538.

Almost surely, 210475274240 is an apocalyptic number.

10475274240 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 10475274240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19126021680).

10475274240 is an abundant number, since it is smaller than the sum of its proper divisors (27776769120).

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

10475274240 is an frugal number, since it uses more digits than its factorization.

10475274240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 36.

The spelling of 10475274240 in words is "ten billion, four hundred seventy-five million, two hundred seventy-four thousand, two hundred forty".