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47190809952 = 2535111331372
BaseRepresentation
bin101011111100110010…
…101001110101100000
311111210210211112100000
4223330302221311200
51233121321404302
633402410500000
73260301160206
oct537462516540
9144723745300
1047190809952
1119016a88a90
129190134600
1345b0a757b0
1423d95d7076
151362e4231c
hexafcca9d60

47190809952 has 864 divisors, whose sum is σ = 173458381824. Its totient is φ = 12429158400.

The previous prime is 47190809951. The next prime is 47190809959. The reversal of 47190809952 is 25990809174.

47190809952 is a `hidden beast` number, since 471 + 9 + 0 + 80 + 9 + 95 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47190809951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1275427278 + ... + 1275427314.

It is an arithmetic number, because the mean of its divisors is an integer number (200762016).

Almost surely, 247190809952 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 47190809952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86729190912).

47190809952 is an abundant number, since it is smaller than the sum of its proper divisors (126267571872).

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

47190809952 is a wasteful number, since it uses less digits than its factorization.

47190809952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 47190809952 in words is "forty-seven billion, one hundred ninety million, eight hundred nine thousand, nine hundred fifty-two".