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29997922687720 = 23513411407032021
BaseRepresentation
bin1101101001000011011111…
…00001101001101011101000
310221012202212210212100202021
412310201233201221223220
512412441221202001340
6143444504435114224
76214164326464201
oct664415741515350
9127182783770667
1029997922687720
119616058349649
12344596b742974
131397a3ac65ca0
14759c9b5285a8
153704ac743e4a
hex1b486f869ae8

29997922687720 has 64 divisors (see below), whose sum is σ = 74460134604240. Its totient is φ = 10806005913600.

The previous prime is 29997922687717. The next prime is 29997922687763. The reversal of 29997922687720 is 2778622979992.

It can be written as a sum of positive squares in 8 ways, for example, as 1349458602244 + 28648464085476 = 1161662^2 + 5352426^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 703494691 + ... + 703537330.

Almost surely, 229997922687720 is an apocalyptic number.

29997922687720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29997922687720 is an abundant number, since it is smaller than the sum of its proper divisors (44462211916520).

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

29997922687720 is a wasteful number, since it uses less digits than its factorization.

29997922687720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1407032086 (or 1407032082 counting only the distinct ones).

The product of its (nonzero) digits is 1728324864, while the sum is 79.

The spelling of 29997922687720 in words is "twenty-nine trillion, nine hundred ninety-seven billion, nine hundred twenty-two million, six hundred eighty-seven thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 41 52 65 82 104 130 164 205 260 328 410 520 533 820 1066 1640 2132 2665 4264 5330 10660 21320 1407032021 2814064042 5628128084 7035160105 11256256168 14070320210 18291416273 28140640420 36582832546 56281280840 57688312861 73165665092 91457081365 115376625722 146331330184 182914162730 230753251444 288441564305 365828325460 461506502888 576883128610 731656650920 749948067193 1153766257220 1499896134386 2307532514440 2999792268772 3749740335965 5999584537544 7499480671930 14998961343860 29997922687720