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10471065696 = 2534713103431
BaseRepresentation
bin10011100000001111…
…11100100001100000
31000000202011020210000
421300013330201200
5132421043100241
64451011140000
7520324406220
oct116007744140
930022136700
1010471065696
114493709703
1220428a4600
13cab481680
14714946080
1541440ceb6
hex2701fc860

10471065696 has 480 divisors, whose sum is σ = 38358448128. Its totient is φ = 2728442880.

The previous prime is 10471065677. The next prime is 10471065713. The reversal of 10471065696 is 69656017401.

10471065696 is a `hidden beast` number, since 10 + 4 + 71 + 0 + 6 + 569 + 6 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 24294601 + ... + 24295031.

Almost surely, 210471065696 is an apocalyptic number.

10471065696 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 10471065696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19179224064).

10471065696 is an abundant number, since it is smaller than the sum of its proper divisors (27887382432).

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

10471065696 is a wasteful number, since it uses less digits than its factorization.

10471065696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 10471065696 in words is "ten billion, four hundred seventy-one million, sixty-five thousand, six hundred ninety-six".