Search a number
-
+
47056464000 = 273553721319
BaseRepresentation
bin101011110100110010…
…001010100010000000
311111110110001001100000
4223310302022202000
51232332423322000
633341211200000
73254050226100
oct536462124200
9144413031300
1047056464000
1118a58168977
129153146000
13458bc97b50
1423c5825200
151356256000
hexaf4c8a880

47056464000 has 2304 divisors, whose sum is σ = 231099523200. Its totient is φ = 9405849600.

The previous prime is 47056463999. The next prime is 47056464047. The reversal of 47056464000 is 46465074.

47056464000 is a `hidden beast` number, since 4 + 7 + 0 + 5 + 6 + 4 + 640 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 2476655991 + ... + 2476656009.

Almost surely, 247056464000 is an apocalyptic number.

47056464000 is a gapful number since it is divisible by the number (40) 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 47056464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115549761600).

47056464000 is an abundant number, since it is smaller than the sum of its proper divisors (184043059200).

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

47056464000 is a wasteful number, since it uses less digits than its factorization.

47056464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 47056464000 in words is "forty-seven billion, fifty-six million, four hundred sixty-four thousand".