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670935525539076 = 2232719140128555877
BaseRepresentation
bin1001100010001101100101100…
…1101010101011110100000100
310020222120210212100212101202200
42120203121121222223310010
51200420101424014222301
610334543305251034500
7261215330532633030
oct23043313152536404
93228523770771680
10670935525539076
11184865181a06206
12632bb971b9ba30
1322a4ac4404ab65
14bb9764a3091c0
15528788ce80c86
hex2623659aabd04

670935525539076 has 72 divisors (see below), whose sum is σ = 2040271773583680. Its totient is φ = 181606608415296.

The previous prime is 670935525538991. The next prime is 670935525539087.

670935525539076 is a `hidden beast` number, since 6 + 7 + 0 + 9 + 3 + 5 + 525 + 5 + 3 + 90 + 7 + 6 = 666.

670935525539076 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×6709355255390762 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 670935525538995 and 670935525539013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70064273151 + ... + 70064282726.

It is an arithmetic number, because the mean of its divisors is an integer number (28337107966440).

Almost surely, 2670935525539076 is an apocalyptic number.

It is an amenable number.

670935525539076 is an abundant number, since it is smaller than the sum of its proper divisors (1369336248044604).

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

670935525539076 is a wasteful number, since it uses less digits than its factorization.

670935525539076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140128555913 (or 140128555908 counting only the distinct ones).

The product of its (nonzero) digits is 1607445000, while the sum is 72.

The spelling of 670935525539076 in words is "six hundred seventy trillion, nine hundred thirty-five billion, five hundred twenty-five million, five hundred thirty-nine thousand, seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 84 114 126 133 171 228 252 266 342 399 532 684 798 1197 1596 2394 4788 140128555877 280257111754 420385667631 560514223508 840771335262 980899891139 1261157002893 1681542670524 1961799782278 2522314005786 2662442561663 2942699673417 3923599564556 5044628011572 5324885123326 5885399346834 7987327684989 8828099020251 10649770246652 11770798693668 15974655369978 17656198040502 18637097931641 23961983054967 31949310739956 35312396081004 37274195863282 47923966109934 55911293794923 74548391726564 95847932219868 111822587589846 167733881384769 223645175179692 335467762769538 670935525539076