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42579659664 = 2433341328879
BaseRepresentation
bin100111101001111100…
…100000101110010000
311001220110010211022000
4213221330200232100
51144200343102124
631321045514000
73035110064313
oct475174405620
9131813124260
1042579659664
1117070120583
128303a12900
1340276531b9
1420bd03697a
1511931ea6c9
hex9e9f20b90

42579659664 has 80 divisors (see below), whose sum is σ = 122259436800. Its totient is φ = 14188569984.

The previous prime is 42579659663. The next prime is 42579659669. The reversal of 42579659664 is 46695697524.

42579659664 is a `hidden beast` number, since 4 + 2 + 579 + 6 + 59 + 6 + 6 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (42579659663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1459977 + ... + 1488855.

It is an arithmetic number, because the mean of its divisors is an integer number (1528242960).

Almost surely, 242579659664 is an apocalyptic number.

It is an amenable number.

42579659664 is an abundant number, since it is smaller than the sum of its proper divisors (79679777136).

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

42579659664 is a wasteful number, since it uses less digits than its factorization.

42579659664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32309 (or 32297 counting only the distinct ones).

The product of its digits is 97977600, while the sum is 63.

The spelling of 42579659664 in words is "forty-two billion, five hundred seventy-nine million, six hundred fifty-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 3413 6826 10239 13652 20478 27304 28879 30717 40956 54608 57758 61434 81912 86637 92151 115516 122868 163824 173274 184302 231032 245736 259911 346548 368604 462064 491472 519822 693096 737208 779733 1039644 1386192 1474416 1559466 2079288 3118932 4158576 6237864 12475728 98564027 197128054 295692081 394256108 591384162 788512216 887076243 1182768324 1577024432 1774152486 2365536648 2661228729 3548304972 4731073296 5322457458 7096609944 10644914916 14193219888 21289829832 42579659664