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47905842816 = 2732133198841
BaseRepresentation
bin101100100111011010…
…010010011010000000
311120122122021222000200
4230213122102122000
51241102343432231
634001352245200
73314102642136
oct544732223200
9146578258020
1047905842816
1119353665837
12934b6a0800
134695c49470
142466565756
1513a5ad3be6
hexb27692680

47905842816 has 96 divisors (see below), whose sum is σ = 148458257220. Its totient is φ = 14740254720.

The previous prime is 47905842779. The next prime is 47905842857. The reversal of 47905842816 is 61824850974.

It is a happy number.

47905842816 is a `hidden beast` number, since 47 + 9 + 0 + 584 + 2 + 8 + 16 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 43948929600 + 3956913216 = 209640^2 + 62904^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×479058428162 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1584445 + ... + 1614396.

Almost surely, 247905842816 is an apocalyptic number.

It is an amenable number.

47905842816 is an abundant number, since it is smaller than the sum of its proper divisors (100552414404).

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

47905842816 is a wasteful number, since it uses less digits than its factorization.

47905842816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3198874 (or 3198859 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 47905842816 in words is "forty-seven billion, nine hundred five million, eight hundred forty-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 288 312 384 416 468 576 624 832 936 1152 1248 1664 1872 2496 3744 4992 7488 14976 3198841 6397682 9596523 12795364 19193046 25590728 28789569 38386092 41584933 51181456 57579138 76772184 83169866 102362912 115158276 124754799 153544368 166339732 204725824 230316552 249509598 307088736 332679464 374264397 409451648 460633104 499019196 614177472 665358928 748528794 921266208 998038392 1228354944 1330717856 1497057588 1842532416 1996076784 2661435712 2994115176 3685064832 3992153568 5322871424 5988230352 7984307136 11976460704 15968614272 23952921408 47905842816