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131237494960 = 245111313982531
BaseRepresentation
bin111101000111001011…
…1010100000010110000
3110112202011111111120111
41322032113110002300
54122233244314320
6140142322551104
712324121205245
oct1721627240260
9415664444514
10131237494960
1150726165440
1221527208494
13c4b6396580
1464cd9995cc
153631808a5a
hex1e8e5d40b0

131237494960 has 160 divisors (see below), whose sum is σ = 361054391040. Its totient is φ = 43734297600.

The previous prime is 131237494957. The next prime is 131237494987. The reversal of 131237494960 is 69494732131.

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, 1548895 + ... + 1631425.

It is an arithmetic number, because the mean of its divisors is an integer number (2256589944).

Almost surely, 2131237494960 is an apocalyptic number.

131237494960 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 131237494960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180527195520).

131237494960 is an abundant number, since it is smaller than the sum of its proper divisors (229816896080).

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

131237494960 is a wasteful number, since it uses less digits than its factorization.

131237494960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82707 (or 82701 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 49.

The spelling of 131237494960 in words is "one hundred thirty-one billion, two hundred thirty-seven million, four hundred ninety-four thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 40 44 52 55 65 80 88 104 110 130 139 143 176 208 220 260 278 286 440 520 556 572 695 715 880 1040 1112 1144 1390 1430 1529 1807 2224 2288 2780 2860 3058 3614 5560 5720 6116 7228 7645 9035 11120 11440 12232 14456 15290 18070 19877 24464 28912 30580 36140 39754 61160 72280 79508 82531 99385 122320 144560 159016 165062 198770 318032 330124 397540 412655 660248 795080 825310 907841 1072903 1320496 1590160 1650620 1815682 2145806 3301240 3631364 4291612 4539205 5364515 6602480 7262728 8583224 9078410 10729030 11471809 11801933 14525456 17166448 18156820 21458060 22943618 23603866 36313640 42916120 45887236 47207732 57359045 59009665 72627280 85832240 91774472 94415464 114718090 118019330 126189899 149133517 183548944 188830928 229436180 236038660 252379798 298267034 458872360 472077320 504759596 596534068 630949495 745667585 917744720 944154640 1009519192 1193068136 1261898990 1491335170 1640468687 2019038384 2386136272 2523797980 2982670340 3280937374 5047595960 5965340680 6561874748 8202343435 10095191920 11930681360 13123749496 16404686870 26247498992 32809373740 65618747480 131237494960