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131634148660 = 225731109278261
BaseRepresentation
bin111101010011000000…
…0011011010100110100
3110120202210212121011021
41322212000123110310
54124041320224120
6140245532350524
712340005542110
oct1724600332464
9416683777137
10131634148660
115090a055213
1221618015444
13c54a6059c1
14652a52c740
15365655aaaa
hex1ea601b534

131634148660 has 96 divisors (see below), whose sum is σ = 329106032640. Its totient is φ = 43274995200.

The previous prime is 131634148627. The next prime is 131634148687. The reversal of 131634148660 is 66841436131.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 333930 + ... + 612190.

It is an arithmetic number, because the mean of its divisors is an integer number (3428187840).

Almost surely, 2131634148660 is an apocalyptic number.

131634148660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131634148660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164553016320).

131634148660 is an abundant number, since it is smaller than the sum of its proper divisors (197471883980).

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

131634148660 is a wasteful number, since it uses less digits than its factorization.

131634148660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278417 (or 278415 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 43.

The spelling of 131634148660 in words is "one hundred thirty-one billion, six hundred thirty-four million, one hundred forty-eight thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 109 124 140 155 217 218 310 434 436 545 620 763 868 1085 1090 1526 2170 2180 3052 3379 3815 4340 6758 7630 13516 15260 16895 23653 33790 47306 67580 94612 118265 236530 278261 473060 556522 1113044 1391305 1947827 2782610 3895654 5565220 7791308 8626091 9739135 17252182 19478270 30330449 34504364 38956540 43130455 60382637 60660898 86260910 120765274 121321796 151652245 172521820 212313143 241530548 301913185 303304490 424626286 603826370 606608980 849252572 940243919 1061565715 1207652740 1880487838 2123131430 3760975676 4246262860 4701219595 6581707433 9402439190 13163414866 18804878380 26326829732 32908537165 65817074330 131634148660