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47873872176 = 243131710934129
BaseRepresentation
bin101100100101100000…
…010101000100110000
311120120102010200112220
4230211200111010300
51241021202402201
633554251121040
73313234125234
oct544540250460
9146512120486
1047873872176
1119337609819
129340a43180
13468c434520
1424622025c4
1513a2dbb036
hexb25815130

47873872176 has 160 divisors (see below), whose sum is σ = 141185338560. Its totient is φ = 13847887872.

The previous prime is 47873872147. The next prime is 47873872181. The reversal of 47873872176 is 67127837874.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11592480 + ... + 11596608.

It is an arithmetic number, because the mean of its divisors is an integer number (882408366).

Almost surely, 247873872176 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 47873872176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70592669280).

47873872176 is an abundant number, since it is smaller than the sum of its proper divisors (93311466384).

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

47873872176 is a wasteful number, since it uses less digits than its factorization.

47873872176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5263 (or 5257 counting only the distinct ones).

The product of its digits is 22127616, while the sum is 60.

The spelling of 47873872176 in words is "forty-seven billion, eight hundred seventy-three million, eight hundred seventy-two thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 34 39 48 51 52 68 78 102 104 136 156 204 208 221 272 312 408 442 624 663 816 884 1093 1326 1768 2186 2652 3279 3536 4129 4372 5304 6558 8258 8744 10608 12387 13116 14209 16516 17488 18581 24774 26232 28418 33032 37162 42627 49548 52464 53677 55743 56836 66064 70193 74324 85254 99096 107354 111486 113672 140386 148648 161031 170508 198192 210579 214708 222972 227344 241553 280772 297296 322062 341016 421158 429416 445944 483106 561544 644124 682032 724659 842316 858832 891888 912509 966212 1123088 1288248 1449318 1684632 1825018 1932424 2576496 2737527 2898636 3369264 3650036 3864848 4512997 5475054 5797272 7300072 9025994 10950108 11594544 13538991 14600144 18051988 21900216 27077982 36103976 43800432 54155964 58668961 72207952 76720949 108311928 117337922 153441898 176006883 216623856 230162847 234675844 306883796 352013766 460325694 469351688 613767592 704027532 920651388 938703376 997372337 1227535184 1408055064 1841302776 1994744674 2816110128 2992117011 3682605552 3989489348 5984234022 7978978696 11968468044 15957957392 23936936088 47873872176