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42101666432 = 277311515757
BaseRepresentation
bin100111001101011101…
…000111001010000000
311000200010201020211222
4213031131013022000
51142211011311212
631201412454212
73020214155120
oct471535071200
9130603636758
1042101666432
1116945325151
1281ab91a368
133c7c604a77
14207576cc80
15116627cc72
hex9cd747280

42101666432 has 64 divisors (see below), whose sum is σ = 98948682240. Its totient is φ = 17461509120.

The previous prime is 42101666417. The next prime is 42101666441. The reversal of 42101666432 is 23466610124.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×421016664322 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42101666392 and 42101666401.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 730103 + ... + 785654.

It is an arithmetic number, because the mean of its divisors is an integer number (1546073160).

Almost surely, 242101666432 is an apocalyptic number.

It is an amenable number.

42101666432 is an abundant number, since it is smaller than the sum of its proper divisors (56847015808).

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

42101666432 is a wasteful number, since it uses less digits than its factorization.

42101666432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1515809 (or 1515797 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 35.

The spelling of 42101666432 in words is "forty-two billion, one hundred one million, six hundred sixty-six thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 128 217 224 248 434 448 496 868 896 992 1736 1984 3472 3968 6944 13888 27776 1515757 3031514 6063028 10610299 12126056 21220598 24252112 42441196 46988467 48504224 84882392 93976934 97008448 169764784 187953868 194016896 328919269 339529568 375907736 657838538 679059136 751815472 1315677076 1358118272 1503630944 2631354152 3007261888 5262708304 6014523776 10525416608 21050833216 42101666432