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131976916326 = 23918312
BaseRepresentation
bin111101011101001101…
…1111110110101100110
3110121122200212000000000
41322322123332311212
54130242042310301
6140343535202130
712351340164543
oct1727233766546
9417580760000
10131976916326
1150a7558a682
12216b2976346
13c5a3628cc8
14655dc75bca
1536766b6786
hex1eba6fed66

131976916326 has 60 divisors (see below), whose sum is σ = 297105296796. Its totient is φ = 43968279060.

The previous prime is 131976916319. The next prime is 131976916327. The reversal of 131976916326 is 623619679131.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131976916327) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 72078231 + ... + 72080061.

Almost surely, 2131976916326 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131976916326, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148552648398).

131976916326 is an abundant number, since it is smaller than the sum of its proper divisors (165128380470).

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

131976916326 is an frugal number, since it uses more digits than its factorization.

131976916326 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3691 (or 1836 counting only the distinct ones).

The product of its digits is 2204496, while the sum is 54.

Multiplying 131976916326 by its sum of digits (54), we get a square (7126753481604 = 26695982).

131976916326 divided by its sum of digits (54) gives a square (2444016969 = 494372).

The spelling of 131976916326 in words is "one hundred thirty-one billion, nine hundred seventy-six million, nine hundred sixteen thousand, three hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 729 1458 1831 2187 3662 4374 5493 6561 10986 13122 16479 19683 32958 39366 49437 98874 148311 296622 444933 889866 1334799 2669598 3352561 4004397 6705122 8008794 10057683 12013191 20115366 24026382 30173049 36039573 60346098 72079146 90519147 181038294 271557441 543114882 814672323 1629344646 2444016969 4888033938 7332050907 14664101814 21996152721 43992305442 65988458163 131976916326