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47920071888 = 24321329882701
BaseRepresentation
bin101100101000010000…
…100100010011010000
311120200122001212122100
4230220100210103100
51241120014300023
634003021240400
73314334614253
oct545020442320
9146618055570
1047920071888
11193606a42a7
129354403100
134698b8bc30
1424683cb09a
1513a6e94c43
hexb284244d0

47920071888 has 120 divisors (see below), whose sum is σ = 149406140520. Its totient is φ = 14236185600.

The previous prime is 47920071887. The next prime is 47920071907. The reversal of 47920071888 is 88817002974.

It is a happy number.

47920071888 is a `hidden beast` number, since 479 + 20 + 0 + 71 + 8 + 88 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3562657344 + 44357414544 = 59688^2 + 210612^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47920071887) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 387063 + ... + 495638.

It is an arithmetic number, because the mean of its divisors is an integer number (1245051171).

Almost surely, 247920071888 is an apocalyptic number.

47920071888 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

47920071888 is an abundant number, since it is smaller than the sum of its proper divisors (101486068632).

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

47920071888 is a wasteful number, since it uses less digits than its factorization.

47920071888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 882757 (or 882748 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The spelling of 47920071888 in words is "forty-seven billion, nine hundred twenty million, seventy-one thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 29 36 39 48 52 58 72 78 87 104 116 117 144 156 174 208 232 234 261 312 348 377 464 468 522 624 696 754 936 1044 1131 1392 1508 1872 2088 2262 3016 3393 4176 4524 6032 6786 9048 13572 18096 27144 54288 882701 1765402 2648103 3530804 5296206 7061608 7944309 10592412 11475113 14123216 15888618 21184824 22950226 25598329 31777236 34425339 42369648 45900452 51196658 63554472 68850678 76794987 91800904 102393316 103276017 127108944 137701356 153589974 183601808 204786632 206552034 230384961 275402712 307179948 332778277 409573264 413104068 460769922 550805424 614359896 665556554 826208136 921539844 998334831 1228719792 1331113108 1652416272 1843079688 1996669662 2662226216 2995004493 3686159376 3993339324 5324452432 5990008986 7986678648 11980017972 15973357296 23960035944 47920071888