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536396008608 = 25329292004829
BaseRepresentation
bin1111100111000111011…
…00011000110010100000
31220021112100201111222100
413303203230120302200
532242014334233413
61050230020010400
753516251562535
oct7634354306240
91807470644870
10536396008608
11197536621459
1287b59b30a00
133b774653545
141bd66cc2d8c
15de4601aa73
hex7ce3b18ca0

536396008608 has 72 divisors (see below), whose sum is σ = 1527018866100. Its totient is φ = 178606116864.

The previous prime is 536396008597. The next prime is 536396008627. The reversal of 536396008608 is 806800693635.

It can be written as a sum of positive squares in 2 ways, for example, as 506904128784 + 29491879824 = 711972^2 + 171732^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×5363960086082 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 734863 + ... + 1269966.

Almost surely, 2536396008608 is an apocalyptic number.

It is an amenable number.

536396008608 is an abundant number, since it is smaller than the sum of its proper divisors (990622857492).

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

536396008608 is a wasteful number, since it uses less digits than its factorization.

536396008608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2005774 (or 2005763 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 536396008608 in words is "five hundred thirty-six billion, three hundred ninety-six million, eight thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 929 1858 2787 3716 5574 7432 8361 11148 14864 16722 22296 29728 33444 44592 66888 89184 133776 267552 2004829 4009658 6014487 8019316 12028974 16038632 18043461 24057948 32077264 36086922 48115896 64154528 72173844 96231792 144347688 192463584 288695376 577390752 1862486141 3724972282 5587458423 7449944564 11174916846 14899889128 16762375269 22349833692 29799778256 33524750538 44699667384 59599556512 67049501076 89399334768 134099002152 178798669536 268198004304 536396008608