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47140644096 = 28327131511489
BaseRepresentation
bin101011111001110011…
…010010010100000000
311111200022102211201100
4223321303102110000
51233021001102341
633353415334400
73256121602110
oct537163222400
9144608384640
1047140644096
1118aa07346a7
129177381400
1345a355ca60
1423d2a99040
15135d8333b6
hexaf9cd2500

47140644096 has 432 divisors, whose sum is σ = 168504743680. Its totient is φ = 12342067200.

The previous prime is 47140644091. The next prime is 47140644119. The reversal of 47140644096 is 69044604174.

47140644096 is a `hidden beast` number, since 47 + 140 + 64 + 409 + 6 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47140644091) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31658520 + ... + 31660008.

Almost surely, 247140644096 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 47140644096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84252371840).

47140644096 is an abundant number, since it is smaller than the sum of its proper divisors (121364099584).

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

47140644096 is a wasteful number, since it uses less digits than its factorization.

47140644096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1682 (or 1665 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 47140644096 in words is "forty-seven billion, one hundred forty million, six hundred forty-four thousand, ninety-six".