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1329292383888 = 243779170929303
BaseRepresentation
bin10011010110000000000…
…000000001011010010000
311201002010200010201210010
4103112000000001122100
5133234342322241023
62454400221034520
7165016050555450
oct23260000013220
94632120121703
101329292383888
11472827994817
121957613b5a40
13984759b4681
14484a3a35d60
15248a0875093
hex13580001690

1329292383888 has 160 divisors (see below), whose sum is σ = 3976716902400. Its totient is φ = 374758046208.

The previous prime is 1329292383871. The next prime is 1329292383889. The reversal of 1329292383888 is 8883832929231.

It is a super-3 number, since 3×13292923838883 (a number of 37 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1329292383889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45349045 + ... + 45378347.

It is an arithmetic number, because the mean of its divisors is an integer number (24854480640).

Almost surely, 21329292383888 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 1329292383888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1988358451200).

1329292383888 is an abundant number, since it is smaller than the sum of its proper divisors (2647424518512).

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

1329292383888 is a wasteful number, since it uses less digits than its factorization.

1329292383888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31109 (or 31103 counting only the distinct ones).

The product of its digits is 71663616, while the sum is 66.

The spelling of 1329292383888 in words is "one trillion, three hundred twenty-nine billion, two hundred ninety-two million, three hundred eighty-three thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 79 84 112 158 168 237 316 336 474 553 632 948 1106 1264 1659 1709 1896 2212 3318 3418 3792 4424 5127 6636 6836 8848 10254 11963 13272 13672 20508 23926 26544 27344 29303 35889 41016 47852 58606 71778 82032 87909 95704 117212 135011 143556 175818 191408 205121 234424 270022 287112 351636 405033 410242 468848 540044 574224 615363 703272 810066 820484 945077 1080088 1230726 1406544 1620132 1640968 1890154 2160176 2314937 2461452 2835231 3240264 3281936 3780308 4629874 4922904 5670462 6480528 6944811 7560616 9259748 9845808 11340924 13889622 15121232 16204559 18519496 22681848 27779244 32409118 37038992 45363696 48613677 50078827 55558488 64818236 97227354 100157654 111116976 129636472 150236481 194454708 200315308 259272944 300472962 350551789 388909416 400630616 600945924 701103578 777818832 801261232 1051655367 1201891848 1402207156 2103310734 2403783696 2804414312 3956227333 4206621468 5608828624 7912454666 8413242936 11868681999 15824909332 16826485872 23737363998 27693591331 31649818664 47474727996 55387182662 63299637328 83080773993 94949455992 110774365324 166161547986 189898911984 221548730648 332323095972 443097461296 664646191944 1329292383888