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14957287711464 = 2337535772911333
BaseRepresentation
bin1101100110101000001111…
…0100100010001011101000
31221221220101002122022100010
43121222003310202023220
53430030011123231324
651451141053011520
73102425350552050
oct331520364421350
957856332568303
1014957287711464
114847393a82a6a
1218169a5483ba0
1384660a270377
14399d17dd6560
151ae1179bb829
hexd9a83d222e8

14957287711464 has 128 divisors (see below), whose sum is σ = 43616907267840. Its totient is φ = 4185610371072.

The previous prime is 14957287711459. The next prime is 14957287711477. The reversal of 14957287711464 is 46411778275941.

It is a junction number, because it is equal to n+sod(n) for n = 14957287711395 and 14957287711404.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3681942 + ... + 6593274.

It is an arithmetic number, because the mean of its divisors is an integer number (340757088030).

Almost surely, 214957287711464 is an apocalyptic number.

14957287711464 is a gapful number since it is divisible by the number (14) 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 14957287711464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21808453633920).

14957287711464 is an abundant number, since it is smaller than the sum of its proper divisors (28659619556376).

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

14957287711464 is a wasteful number, since it uses less digits than its factorization.

14957287711464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2911979 (or 2911975 counting only the distinct ones).

The product of its digits is 94832640, while the sum is 66.

The spelling of 14957287711464 in words is "fourteen trillion, nine hundred fifty-seven billion, two hundred eighty-seven million, seven hundred eleven thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 53 56 84 106 159 168 212 318 371 424 577 636 742 1113 1154 1272 1484 1731 2226 2308 2968 3462 4039 4452 4616 6924 8078 8904 12117 13848 16156 24234 30581 32312 48468 61162 91743 96936 122324 183486 214067 244648 366972 428134 642201 733944 856268 1284402 1712536 2568804 2911333 5137608 5822666 8733999 11645332 17467998 20379331 23290664 34935996 40758662 61137993 69871992 81517324 122275986 154300649 163034648 244551972 308601298 462901947 489103944 617202596 925803894 1080104543 1234405192 1679839141 1851607788 2160209086 3240313629 3359678282 3703215576 4320418172 5039517423 6480627258 6719356564 8640836344 10079034846 11758873987 12961254516 13438713128 20158069692 23517747974 25922509032 35276621961 40316139384 47035495948 70553243922 89031474473 94070991896 141106487844 178062948946 267094423419 282212975688 356125897892 534188846838 623220321311 712251795784 1068377693676 1246440642622 1869660963933 2136755387352 2492881285244 3739321927866 4985762570488 7478643855732 14957287711464