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1312634345748 = 22311174519129443
BaseRepresentation
bin10011000110011111000…
…110101001100100010100
311122111010202002201100120
4103012133012221210110
5133001233343030443
62443003233311540
7163556205562545
oct23063706514424
94574122081316
101312634345748
11466759960150
121924927055b0
1396a1c7c187b
14477635304cc
15242281ea083
hex1319f1a9914

1312634345748 has 96 divisors (see below), whose sum is σ = 3538605450240. Its totient is φ = 374284131840.

The previous prime is 1312634345747. The next prime is 1312634345783. The reversal of 1312634345748 is 8475434362131.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 1312634345748.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312634345747) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 10075915 + ... + 10205357.

It is an arithmetic number, because the mean of its divisors is an integer number (36860473440).

Almost surely, 21312634345748 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1312634345748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1769302725120).

1312634345748 is an abundant number, since it is smaller than the sum of its proper divisors (2225971104492).

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

1312634345748 is a wasteful number, since it uses less digits than its factorization.

1312634345748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133997 (or 133995 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 51.

The spelling of 1312634345748 in words is "one trillion, three hundred twelve billion, six hundred thirty-four million, three hundred forty-five thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 187 204 374 561 748 1122 2244 4519 9038 13557 18076 27114 49709 54228 76823 99418 129443 149127 153646 198836 230469 258886 298254 307292 388329 460938 517772 596508 776658 845053 921876 1423873 1553316 1690106 2200531 2535159 2847746 3380212 4271619 4401062 5070318 5695492 6601593 8543238 8802124 10140636 13203186 17086476 24205841 26406372 48411682 72617523 96823364 145235046 290470092 584952917 1169905834 1754858751 2339811668 3509717502 6434482087 7019435004 9944199589 12868964174 19303446261 19888399178 25737928348 29832598767 38606892522 39776798356 59665197534 77213785044 109386195479 119330395068 218772390958 328158586437 437544781916 656317172874 1312634345748