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1313096382936 = 2334131915154331
BaseRepresentation
bin10011000110111010101…
…001001011100111011000
311122112022221111122020000
4103012322221023213120
5133003210133223221
62443121140333000
7163603516045002
oct23067251134730
94575287448200
101313096382936
11466976748568
121925a13a4160
1396a94444460
14477a8a43372
1524253a64e26
hex131baa4b9d8

1313096382936 has 320 divisors, whose sum is σ = 4196951404800. Its totient is φ = 380223072000.

The previous prime is 1313096382907. The next prime is 1313096382973. The reversal of 1313096382936 is 6392836903131.

1313096382936 is a `hidden beast` number, since 1 + 313 + 0 + 9 + 6 + 38 + 293 + 6 = 666.

It is a super-2 number, since 2×13130963829362 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 24141291 + ... + 24195621.

It is an arithmetic number, because the mean of its divisors is an integer number (13115473140).

Almost surely, 21313096382936 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 1313096382936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2098475702400).

1313096382936 is an abundant number, since it is smaller than the sum of its proper divisors (2883855021864).

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

1313096382936 is a wasteful number, since it uses less digits than its factorization.

1313096382936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54532 (or 54519 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 54.

It can be divided in two parts, 131309 and 6382936, that added together give a triangular number (6514245 = T3609).

The spelling of 1313096382936 in words is "one trillion, three hundred thirteen billion, ninety-six million, three hundred eighty-two thousand, nine hundred thirty-six".