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648011739144 = 233711595943317
BaseRepresentation
bin10010110111000001000…
…00100111000000001000
32021221122001102002222010
421123200200213000020
541104112001123034
61213405324255520
764550222620620
oct11334040470010
92257561362863
10648011739144
1122a902807860
12a57099a15a0
1349151803203
14235148d3880
1511cc9dbd3e9
hex96e0827008

648011739144 has 128 divisors (see below), whose sum is σ = 2054010700800. Its totient is φ = 165461917440.

The previous prime is 648011739131. The next prime is 648011739161. The reversal of 648011739144 is 441937110846.

It is a junction number, because it is equal to n+sod(n) for n = 648011739093 and 648011739102.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2862627 + ... + 3080690.

It is an arithmetic number, because the mean of its divisors is an integer number (16046958600).

Almost surely, 2648011739144 is an apocalyptic number.

It is an amenable number.

648011739144 is an abundant number, since it is smaller than the sum of its proper divisors (1405998961656).

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

648011739144 is a wasteful number, since it uses less digits than its factorization.

648011739144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5943403 (or 5943399 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 648011739144 in words is "six hundred forty-eight billion, eleven million, seven hundred thirty-nine thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 59 66 77 84 88 118 132 154 168 177 231 236 264 308 354 413 462 472 616 649 708 826 924 1239 1298 1416 1652 1848 1947 2478 2596 3304 3894 4543 4956 5192 7788 9086 9912 13629 15576 18172 27258 36344 54516 109032 5943317 11886634 17829951 23773268 35659902 41603219 47546536 65376487 71319804 83206438 124809657 130752974 142639608 166412876 196129461 249619314 261505948 332825752 350655703 392258922 457635409 499238628 523011896 701311406 784517844 915270818 998477256 1051967109 1372906227 1402622812 1569035688 1830541636 2103934218 2454589921 2745812454 2805245624 3661083272 3857212733 4207868436 4909179842 5491624908 7363769763 7714425466 8415736872 9818359684 10983249816 11571638199 14727539526 15428850932 19636719368 23143276398 27000489131 29455079052 30857701864 46286552796 54000978262 58910158104 81001467393 92573105592 108001956524 162002934786 216003913048 324005869572 648011739144