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46472057856 = 210337234303
BaseRepresentation
bin101011010001111100…
…110101010000000000
311102221201101010211000
4223101330311100000
51230133321322411
633203213252000
73233422655100
oct532174652000
9142851333730
1046472057856
11187882a0994
12900b494000
1344c7b9bcb3
14236bd7b200
15131ecb8956
hexad1f35400

46472057856 has 264 divisors, whose sum is σ = 160102256640. Its totient is φ = 13277343744.

The previous prime is 46472057791. The next prime is 46472057861. The reversal of 46472057856 is 65875027464.

It is a happy number.

46472057856 is a `hidden beast` number, since 4 + 6 + 47 + 20 + 578 + 5 + 6 = 666.

It is a super-2 number, since 2×464720578562 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1337601 + ... + 1371903.

Almost surely, 246472057856 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 46472057856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80051128320).

46472057856 is an abundant number, since it is smaller than the sum of its proper divisors (113630198784).

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

46472057856 is a wasteful number, since it uses less digits than its factorization.

46472057856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34346 (or 34315 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 46472057856 in words is "forty-six billion, four hundred seventy-two million, fifty-seven thousand, eight hundred fifty-six".