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47109795264 = 2633723313541
BaseRepresentation
bin101011110111111101…
…100110110111000000
311111121011101120002000
4223313331212313000
51232440101422024
633350354224000
73255265436610
oct536775466700
9144534346060
1047109795264
1118a852844a4
129168b85000
13459a04b5cc
1423cc948a40
15135ac8ccc9
hexaf7f66dc0

47109795264 has 448 divisors, whose sum is σ = 165994567680. Its totient is φ = 12809871360.

The previous prime is 47109795263. The next prime is 47109795323. The reversal of 47109795264 is 46259790174.

47109795264 is a `hidden beast` number, since 4 + 7 + 109 + 7 + 9 + 526 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a self number, because there is not a number n which added to its sum of digits gives 47109795264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47109795263) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 87078834 + ... + 87079374.

Almost surely, 247109795264 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 47109795264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82997283840).

47109795264 is an abundant number, since it is smaller than the sum of its proper divisors (118884772416).

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

47109795264 is a wasteful number, since it uses less digits than its factorization.

47109795264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 47109795264 in words is "forty-seven billion, one hundred nine million, seven hundred ninety-five thousand, two hundred sixty-four".