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47657990016 = 27327131971337
BaseRepresentation
bin101100011000101000…
…110011011110000000
311120000100220201220100
4230120220303132000
51240100421140031
633521020042400
73305003142210
oct543050633600
9146010821810
1047657990016
111923676930a
1292a0693400
1346567a91c0
142441688240
15138de75de6
hexb18a33780

47657990016 has 768 divisors, whose sum is σ = 180709401600. Its totient is φ = 11705057280.

The previous prime is 47657989993. The next prime is 47657990047. The reversal of 47657990016 is 61009975674.

47657990016 is a `hidden beast` number, since 476 + 5 + 79 + 90 + 0 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 141418200 + ... + 141418536.

It is an arithmetic number, because the mean of its divisors is an integer number (235298700).

Almost surely, 247657990016 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 47657990016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90354700800).

47657990016 is an abundant number, since it is smaller than the sum of its proper divisors (133051411584).

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

47657990016 is a wasteful number, since it uses less digits than its factorization.

47657990016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 47657990016 in words is "forty-seven billion, six hundred fifty-seven million, nine hundred ninety thousand, sixteen".