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52847931248640 = 21232511477173107
BaseRepresentation
bin11000000010000100111100…
…01010110101000000000000
320221010012202012020120100200
430001002132022311000000
523411330030344424030
6304222000543445200
714063065000545663
oct1401023612650000
9227105665216320
1052847931248640
11159257554a1150
125b163492b6800
132364700206ca8
14d09bd40b96da
15619a68d80d60
hex30109e2b5000

52847931248640 has 2496 divisors, whose sum is σ = 211759051825152. Its totient is φ = 12079123660800.

The previous prime is 52847931248639. The next prime is 52847931248677. The reversal of 52847931248640 is 4684213974825.

52847931248640 is a `hidden beast` number, since 5 + 2 + 84 + 7 + 9 + 31 + 2 + 486 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 493905899467 + ... + 493905899573.

It is an arithmetic number, because the mean of its divisors is an integer number (84839363712).

It is a 1-persistent number, because it is pandigital, but 2⋅52847931248640 = 105695862497280 is not.

Almost surely, 252847931248640 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 52847931248640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105879525912576).

52847931248640 is an abundant number, since it is smaller than the sum of its proper divisors (158911120576512).

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

52847931248640 is a wasteful number, since it uses less digits than its factorization.

52847931248640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 52847931248640 in words is "fifty-two trillion, eight hundred forty-seven billion, nine hundred thirty-one million, two hundred forty-eight thousand, six hundred forty".