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42518333568 = 273151733277
BaseRepresentation
bin100111100110010010…
…100100100010000000
311001202011202010201010
4213212102210202000
51144034143133233
631311015240520
73033433605114
oct474622444200
9131664663633
1042518333568
1117039544357
1282a7379140
134017a30779
1420b4c31744
15118cb34b63
hex9e64a4880

42518333568 has 64 divisors (see below), whose sum is σ = 113687421120. Its totient is φ = 14078899200.

The previous prime is 42518333567. The next prime is 42518333573. The reversal of 42518333568 is 86533381524.

It is a happy number.

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

It is a super-2 number, since 2×425183335682 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (42518333567) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 308655 + ... + 424622.

It is an arithmetic number, because the mean of its divisors is an integer number (1776365955).

Almost surely, 242518333568 is an apocalyptic number.

42518333568 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

42518333568 is an abundant number, since it is smaller than the sum of its proper divisors (71169087552).

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

42518333568 is a wasteful number, since it uses less digits than its factorization.

42518333568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733445 (or 733433 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 48.

The spelling of 42518333568 in words is "forty-two billion, five hundred eighteen million, three hundred thirty-three thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 151 192 302 384 453 604 906 1208 1812 2416 3624 4832 7248 9664 14496 19328 28992 57984 733277 1466554 2199831 2933108 4399662 5866216 8799324 11732432 17598648 23464864 35197296 46929728 70394592 93859456 110724827 140789184 221449654 281578368 332174481 442899308 664348962 885798616 1328697924 1771597232 2657395848 3543194464 5314791696 7086388928 10629583392 14172777856 21259166784 42518333568