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13323122019984 = 2437257154288517
BaseRepresentation
bin1100000111100000011111…
…1101001000111010010000
31202011200022021120212120010
43001320013331020322100
53221241223214114414
644200320250514520
72543364245430030
oct301700775107220
952150267525503
1013323122019984
114277339057917
1215b213a735a40
13758498c2964a
14340bb1d398c0
15181871c09959
hexc1e07f48e90

13323122019984 has 80 divisors (see below), whose sum is σ = 39487986142848. Its totient is φ = 3791794569216.

The previous prime is 13323122019979. The next prime is 13323122019989. The reversal of 13323122019984 is 48991022132331.

It is an interprime number because it is at equal distance from previous prime (13323122019979) and next prime (13323122019989).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (13323122019989) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77057907 + ... + 77230610.

Almost surely, 213323122019984 is an apocalyptic number.

13323122019984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13323122019984 is an abundant number, since it is smaller than the sum of its proper divisors (26164864122864).

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

13323122019984 is a wasteful number, since it uses less digits than its factorization.

13323122019984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154288792 (or 154288786 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 48.

The spelling of 13323122019984 in words is "thirteen trillion, three hundred twenty-three billion, one hundred twenty-two million, nineteen thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 257 336 514 771 1028 1542 1799 2056 3084 3598 4112 5397 6168 7196 10794 12336 14392 21588 28784 43176 86352 154288517 308577034 462865551 617154068 925731102 1080019619 1234308136 1851462204 2160039238 2468616272 3240058857 3702924408 4320078476 6480117714 7405848816 8640156952 12960235428 17280313904 25920470856 39652148869 51840941712 79304297738 118956446607 158608595476 237912893214 277565042083 317217190952 475825786428 555130084166 634434381904 832695126249 951651572856 1110260168332 1665390252498 1903303145712 2220520336664 3330780504996 4441040673328 6661561009992 13323122019984