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42641879904 = 2532132876107
BaseRepresentation
bin100111101101101001…
…110111001101100000
311002001210012221102100
4213231221313031200
51144312310124104
631331151250400
73036463666401
oct475551671540
9132053187370
1042641879904
11170a2258568
128320819a00
1340374c9900
1420c73d19a8
1511988db139
hex9eda77360

42641879904 has 108 divisors (see below), whose sum is σ = 131308438716. Its totient is φ = 13120563456.

The previous prime is 42641879899. The next prime is 42641879921. The reversal of 42641879904 is 40997814624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 389382 + ... + 486725.

It is an arithmetic number, because the mean of its divisors is an integer number (1215818877).

Almost surely, 242641879904 is an apocalyptic number.

It is an amenable number.

42641879904 is an abundant number, since it is smaller than the sum of its proper divisors (88666558812).

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

42641879904 is a wasteful number, since it uses less digits than its factorization.

42641879904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876149 (or 876125 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 42641879904 in words is "forty-two billion, six hundred forty-one million, eight hundred seventy-nine thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 169 208 234 288 312 338 416 468 507 624 676 936 1014 1248 1352 1521 1872 2028 2704 3042 3744 4056 5408 6084 8112 12168 16224 24336 48672 876107 1752214 2628321 3504428 5256642 7008856 7884963 10513284 11389391 14017712 15769926 21026568 22778782 28035424 31539852 34168173 42053136 45557564 63079704 68336346 84106272 91115128 102504519 126159408 136672692 148062083 182230256 205009038 252318816 273345384 296124166 364460512 410018076 444186249 546690768 592248332 820036152 888372498 1093381536 1184496664 1332558747 1640072304 1776744996 2368993328 2665117494 3280144608 3553489992 4737986656 5330234988 7106979984 10660469976 14213959968 21320939952 42641879904