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16472803464 = 233413191011019
BaseRepresentation
bin11110101011101101…
…10000100010001000
31120112000111010020000
433111312300202020
5232214014202324
611322325203000
71122132343035
oct172566604210
946460433200
1016472803464
116a93517067
123238860460
131726a083b0
14b23a8838c
1566628a9c9
hex3d5db0888

16472803464 has 320 divisors, whose sum is σ = 52873128000. Its totient is φ = 4749580800.

The previous prime is 16472803453. The next prime is 16472803469. The reversal of 16472803464 is 46430827461.

16472803464 is a `hidden beast` number, since 16 + 472 + 80 + 34 + 64 = 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 not an unprimeable number, because it can be changed into a prime (16472803469) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16165147 + ... + 16166165.

It is an arithmetic number, because the mean of its divisors is an integer number (165228525).

Almost surely, 216472803464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16472803464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26436564000).

16472803464 is an abundant number, since it is smaller than the sum of its proper divisors (36400324536).

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

16472803464 is a wasteful number, since it uses less digits than its factorization.

16472803464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1170 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 16472803464 in words is "sixteen billion, four hundred seventy-two million, eight hundred three thousand, four hundred sixty-four".