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1312717611504 = 2431315713399453
BaseRepresentation
bin10011000110100100000…
…100010010000111110000
311122111100112210001111110
4103012210010102013300
5133001421202032004
62443015410113320
7163561236410055
oct23064404220760
94574315701443
101312717611504
114667a1961a22
121924b657b840
1396a33b26550
144777060702c
1524230696589
hex131a41121f0

1312717611504 has 80 divisors (see below), whose sum is σ = 3675309438752. Its totient is φ = 401340386304.

The previous prime is 1312717611487. The next prime is 1312717611529. The reversal of 1312717611504 is 4051167172131.

It is a happy number.

It is a super-3 number, since 3×13127176115043 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6601759 + ... + 6797694.

Almost surely, 21312717611504 is an apocalyptic number.

It is an amenable number.

1312717611504 is an abundant number, since it is smaller than the sum of its proper divisors (2362591827248).

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

1312717611504 is a wasteful number, since it uses less digits than its factorization.

1312717611504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13399634 (or 13399628 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 39.

The spelling of 1312717611504 in words is "one trillion, three hundred twelve billion, seven hundred seventeen million, six hundred eleven thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 157 208 312 314 471 624 628 942 1256 1884 2041 2512 3768 4082 6123 7536 8164 12246 16328 24492 32656 48984 97968 13399453 26798906 40198359 53597812 80396718 107195624 160793436 174192889 214391248 321586872 348385778 522578667 643173744 696771556 1045157334 1393543112 2090314668 2103714121 2787086224 4180629336 4207428242 6311142363 8361258672 8414856484 12622284726 16829712968 25244569452 27348283573 33659425936 50489138904 54696567146 82044850719 100978277808 109393134292 164089701438 218786268584 328179402876 437572537168 656358805752 1312717611504