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47311960680 = 23345293137439
BaseRepresentation
bin101100000100000000…
…110011101001101000
311112010020210121220000
4230010000303221220
51233343330220210
633422415303000
73263302013265
oct540400635150
9145106717800
1047311960680
1119079406356
12920481aa60
1345ccbb340a
14240b73226c
15136d8c3ac0
hexb04033a68

47311960680 has 640 divisors, whose sum is σ = 174797568000. Its totient is φ = 11443783680.

The previous prime is 47311960669. The next prime is 47311960739. The reversal of 47311960680 is 8606911374.

It is a happy number.

47311960680 is a `hidden beast` number, since 4 + 7 + 31 + 1 + 9 + 606 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 107771901 + ... + 107772339.

It is an arithmetic number, because the mean of its divisors is an integer number (273121200).

Almost surely, 247311960680 is an apocalyptic number.

47311960680 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 47311960680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87398784000).

47311960680 is an abundant number, since it is smaller than the sum of its proper divisors (127485607320).

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

47311960680 is a wasteful number, since it uses less digits than its factorization.

47311960680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 47311960680 in words is "forty-seven billion, three hundred eleven million, nine hundred sixty thousand, six hundred eighty".