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131900126976 = 283319082773
BaseRepresentation
bin111101011010111011…
…1000011011100000000
3110121110100100200211000
41322311313003130000
54130112413030401
6140332153252000
712346415403102
oct1726567033400
9417410320730
10131900126976
1150a36201702
1221691104000
13c590751117
1465539a7572
15366ea99186
hex1eb5dc3700

131900126976 has 72 divisors (see below), whose sum is σ = 390051900560. Its totient is φ = 43966706688.

The previous prime is 131900126791. The next prime is 131900126977. The reversal of 131900126976 is 679621009131.

131900126976 is a `hidden beast` number, since 1 + 319 + 0 + 0 + 1 + 269 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131900126977) 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 7 ways as a sum of consecutive naturals, for example, 9534475 + ... + 9548298.

Almost surely, 2131900126976 is an apocalyptic number.

131900126976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

131900126976 is an abundant number, since it is smaller than the sum of its proper divisors (258151773584).

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

131900126976 is an equidigital number, since it uses as much as digits as its factorization.

131900126976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19082798 (or 19082778 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The spelling of 131900126976 in words is "one hundred thirty-one billion, nine hundred million, one hundred twenty-six thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 3456 6912 19082773 38165546 57248319 76331092 114496638 152662184 171744957 228993276 305324368 343489914 457986552 515234871 610648736 686979828 915973104 1030469742 1221297472 1373959656 1831946208 2060939484 2442594944 2747919312 3663892416 4121878968 4885189888 5495838624 7327784832 8243757936 10991677248 14655569664 16487515872 21983354496 32975031744 43966708992 65950063488 131900126976