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481173608916 = 22327112132389593
BaseRepresentation
bin1110000000010000010…
…11101001100111010100
31200222222211000221202200
413000020023221213110
530340420420441131
61005014220204500
746522634122650
oct7001013514724
91628884027680
10481173608916
11176078a5a200
1279308099730
13364b39571b0
1419408b5ba60
15c7b2e3d2e6
hex70082e99d4

481173608916 has 864 divisors, whose sum is σ = 1739206909440. Its totient is φ = 108926484480.

The previous prime is 481173608899. The next prime is 481173608989. The reversal of 481173608916 is 619806371184.

481173608916 is a `hidden beast` number, since 4 + 8 + 1 + 17 + 3 + 608 + 9 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 811422316 + ... + 811422908.

It is an arithmetic number, because the mean of its divisors is an integer number (2012970960).

Almost surely, 2481173608916 is an apocalyptic number.

481173608916 is a gapful number since it is divisible by the number (46) 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 481173608916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869603454720).

481173608916 is an abundant number, since it is smaller than the sum of its proper divisors (1258033300524).

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

481173608916 is a wasteful number, since it uses less digits than its factorization.

481173608916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 481173608916 in words is "four hundred eighty-one billion, one hundred seventy-three million, six hundred eight thousand, nine hundred sixteen".