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14475569294992 = 24131761564111897
BaseRepresentation
bin1101001010100101101100…
…1010100110111010010000
31220020211222022110021002211
43102221123022212322100
53344131431214414432
650441552411321504
73022553046561631
oct322513312467220
956224868407084
1014475569294992
114681066542893
121759566a50294
1381006a7a3250
1438089ab7b888
151a1821d13d47
hexd2a5b2a6e90

14475569294992 has 160 divisors (see below), whose sum is σ = 32513293953504. Its totient is φ = 6183331430400.

The previous prime is 14475569294987. The next prime is 14475569294999. The reversal of 14475569294992 is 29949296557441.

It can be written as a sum of positive squares in 16 ways, for example, as 31799448976 + 14443769846016 = 178324^2 + 3800496^2 .

It is not an unprimeable number, because it can be changed into a prime (14475569294999) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1216735188 + ... + 1216747084.

Almost surely, 214475569294992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14475569294992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16256646976752).

14475569294992 is an abundant number, since it is smaller than the sum of its proper divisors (18037724658512).

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

14475569294992 is a wasteful number, since it uses less digits than its factorization.

14475569294992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17637 (or 17631 counting only the distinct ones).

The product of its digits is 1763596800, while the sum is 76.

The spelling of 14475569294992 in words is "fourteen trillion, four hundred seventy-five billion, five hundred sixty-nine million, two hundred ninety-four thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 13 16 17 26 34 52 61 68 104 122 136 208 221 244 272 442 488 793 884 976 1037 1586 1768 2074 3172 3536 4148 5641 6344 8296 11282 11897 12688 13481 16592 22564 23794 26962 45128 47588 53924 73333 90256 95176 95897 107848 146666 154661 190352 191794 202249 215696 293332 309322 344101 383588 404498 586664 618644 688202 725717 767176 808996 1173328 1237288 1246661 1376404 1451434 1534352 1617992 2474576 2493322 2629237 2752808 2902868 3235984 4473313 4986644 5258474 5505616 5805736 5849717 8946626 9434321 9973288 10516948 11611472 11699434 12337189 17893252 18868642 19946576 21033896 23398868 24674378 35786504 37737284 42067792 46797736 49348756 67110977 71573008 75474568 76046321 93595472 98697512 134221954 150949136 152092642 160383457 197395024 268443908 304185284 320766914 536887816 608370568 641533828 872442701 1073775632 1140886609 1216741136 1283067656 1744885402 2281773218 2566135312 3489770804 4093769597 4563546436 6979541608 8187539194 9127092872 13959083216 14831525917 16375078388 18254185744 29663051834 32750156776 53219004761 59326103668 65500313552 69594083149 106438009522 118652207336 139188166298 212876019044 237304414672 278376332596 425752038088 556752665192 851504076176 904723080937 1113505330384 1809446161874 3618892323748 7237784647496 14475569294992