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131082469760 = 2751118619669
BaseRepresentation
bin111101000010100011…
…1111100000110000000
3110112100100210101222102
41322011013330012000
54121424103013020
6140115104125532
712320226415604
oct1720507740600
9415310711872
10131082469760
1150656700740
12214a33068a8
13c490228298
1464b7163504
153622dd5475
hex1e851fc180

131082469760 has 64 divisors (see below), whose sum is σ = 341857141200. Its totient is φ = 47666350080.

The previous prime is 131082469759. The next prime is 131082469781. The reversal of 131082469760 is 67964280131.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1310824697602 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9302795 + ... + 9316874.

Almost surely, 2131082469760 is an apocalyptic number.

131082469760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131082469760 is an abundant number, since it is smaller than the sum of its proper divisors (210774671440).

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

131082469760 is a wasteful number, since it uses less digits than its factorization.

131082469760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18619699 (or 18619687 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 47.

The spelling of 131082469760 in words is "one hundred thirty-one billion, eighty-two million, four hundred sixty-nine thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 440 640 704 880 1408 1760 3520 7040 18619669 37239338 74478676 93098345 148957352 186196690 204816359 297914704 372393380 409632718 595829408 744786760 819265436 1024081795 1191658816 1489573520 1638530872 2048163590 2383317632 2979147040 3277061744 4096327180 5958294080 6554123488 8192654360 11916588160 13108246976 16385308720 26216493952 32770617440 65541234880 131082469760