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42197296464 = 2433372639971
BaseRepresentation
bin100111010011001001…
…111010010101010000
311000220210122202121000
4213103021322111100
51142410001441324
631215110302000
73022455046641
oct472311722520
9130823582530
1042197296464
1116994301434
128217957900
133c9637849b
1420843436c8
15116e86c9c9
hex9d327a550

42197296464 has 80 divisors (see below), whose sum is σ = 124395480640. Its totient is φ = 13685604480.

The previous prime is 42197296411. The next prime is 42197296489. The reversal of 42197296464 is 46469279124.

42197296464 is a `hidden beast` number, since 4 + 2 + 1 + 97 + 2 + 96 + 464 = 666.

It is a super-2 number, since 2×421972964642 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 42197296464.

It is a congruent number.

It is an unprimeable number.

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, 1304002 + ... + 1335969.

It is an arithmetic number, because the mean of its divisors is an integer number (1554943508).

Almost surely, 242197296464 is an apocalyptic number.

It is an amenable number.

42197296464 is an abundant number, since it is smaller than the sum of its proper divisors (82198184176).

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

42197296464 is a wasteful number, since it uses less digits than its factorization.

42197296464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2640025 (or 2640013 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The spelling of 42197296464 in words is "forty-two billion, one hundred ninety-seven million, two hundred ninety-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 37 48 54 72 74 108 111 144 148 216 222 296 333 432 444 592 666 888 999 1332 1776 1998 2664 3996 5328 7992 15984 2639971 5279942 7919913 10559884 15839826 21119768 23759739 31679652 42239536 47519478 63359304 71279217 95038956 97678927 126718608 142558434 190077912 195357854 285116868 293036781 380155824 390715708 570233736 586073562 781431416 879110343 1140467472 1172147124 1562862832 1758220686 2344294248 2637331029 3516441372 4688588496 5274662058 7032882744 10549324116 14065765488 21098648232 42197296464