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131376466160 = 2456126921407
BaseRepresentation
bin111101001011010100…
…1011100100011110000
3110120002211222222012222
41322112221130203300
54123024333404120
6140204205340212
712330426352142
oct1722651344360
9416084888188
10131376466160
1150797654575
1221565867668
13c509103554
146504212c92
15363db0a525
hex1e96a5c8f0

131376466160 has 40 divisors (see below), whose sum is σ = 310457677056. Its totient is φ = 51689099520.

The previous prime is 131376466129. The next prime is 131376466201. The reversal of 131376466160 is 61664673131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

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, 13455824 + ... + 13465583.

Almost surely, 2131376466160 is an apocalyptic number.

131376466160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131376466160 is an abundant number, since it is smaller than the sum of its proper divisors (179081210896).

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

131376466160 is a wasteful number, since it uses less digits than its factorization.

131376466160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26921481 (or 26921475 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 44.

The spelling of 131376466160 in words is "one hundred thirty-one billion, three hundred seventy-six million, four hundred sixty-six thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 244 305 488 610 976 1220 2440 4880 26921407 53842814 107685628 134607035 215371256 269214070 430742512 538428140 1076856280 1642205827 2153712560 3284411654 6568823308 8211029135 13137646616 16422058270 26275293232 32844116540 65688233080 131376466160