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47536949376 = 27327219127349
BaseRepresentation
bin101100010001011011…
…000100100010000000
311112200221011020100200
4230101123010202000
51234323424340001
633501013445200
73302003255100
oct542133044200
9145627136320
1047536949376
1119184406724
129268040800
1346376a9717
14242d57b200
151383517086
hexb116c4880

47536949376 has 576 divisors, whose sum is σ = 169303680000. Its totient is φ = 12729249792.

The previous prime is 47536949359. The next prime is 47536949407. The reversal of 47536949376 is 67394963574.

47536949376 is a `hidden beast` number, since 4 + 7 + 536 + 9 + 4 + 93 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 136208850 + ... + 136209198.

It is an arithmetic number, because the mean of its divisors is an integer number (293930000).

Almost surely, 247536949376 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 47536949376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84651840000).

47536949376 is an abundant number, since it is smaller than the sum of its proper divisors (121766730624).

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

47536949376 is a wasteful number, since it uses less digits than its factorization.

47536949376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 507 counting only the distinct ones).

The product of its digits is 102876480, while the sum is 63.

The spelling of 47536949376 in words is "forty-seven billion, five hundred thirty-six million, nine hundred forty-nine thousand, three hundred seventy-six".