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47113640928 = 253519893583
BaseRepresentation
bin101011111000001100…
…010001101111100000
311111121102121221100000
4223320030101233200
51232442043002203
633351012500000
73255343224504
oct537014215740
9144542557300
1047113640928
1118a87470832
12916a31a600
13459aa96b53
1423cd26a304
15135b29c4a3
hexaf8311be0

47113640928 has 288 divisors, whose sum is σ = 147938918400. Its totient is φ = 14706717696.

The previous prime is 47113640927. The next prime is 47113640929. The reversal of 47113640928 is 82904631174.

47113640928 is a `hidden beast` number, since 471 + 136 + 40 + 9 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (47113640927) and next prime (47113640929).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×471136409282 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47113640921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13147425 + ... + 13151007.

It is an arithmetic number, because the mean of its divisors is an integer number (513676800).

Almost surely, 247113640928 is an apocalyptic number.

47113640928 is a gapful number since it is divisible by the number (48) 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 47113640928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73969459200).

47113640928 is an abundant number, since it is smaller than the sum of its proper divisors (100825277472).

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

47113640928 is a wasteful number, since it uses less digits than its factorization.

47113640928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3716 (or 3696 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 47113640928 in words is "forty-seven billion, one hundred thirteen million, six hundred forty thousand, nine hundred twenty-eight".