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46780854876 = 223273231271297
BaseRepresentation
bin101011100100010110…
…110011001001011100
311110202020102122200200
4223210112303021130
51231301344324001
633254004023500
73244162464000
oct534426631134
9143666378620
1046780854876
1118926633738
129096991b90
134546b59c22
14239ada0700
15133be64086
hexae45b325c

46780854876 has 288 divisors, whose sum is σ = 145143398400. Its totient is φ = 12674382336.

The previous prime is 46780854829. The next prime is 46780854889. The reversal of 46780854876 is 67845808764.

46780854876 is a `hidden beast` number, since 4 + 6 + 7 + 80 + 8 + 548 + 7 + 6 = 666.

46780854876 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36067860 + ... + 36069156.

Almost surely, 246780854876 is an apocalyptic number.

46780854876 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 46780854876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72571699200).

46780854876 is an abundant number, since it is smaller than the sum of its proper divisors (98362543524).

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

46780854876 is a wasteful number, since it uses less digits than its factorization.

46780854876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1478 (or 1459 counting only the distinct ones).

The product of its (nonzero) digits is 72253440, while the sum is 63.

The spelling of 46780854876 in words is "forty-six billion, seven hundred eighty million, eight hundred fifty-four thousand, eight hundred seventy-six".