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29997511609580 = 225431481225110463
BaseRepresentation
bin1101101001000010101110…
…00001100000110011101100
310221012201211011100102112222
412310201113001200303230
512412434400433001310
6143444355552214512
76214151205412514
oct664412701406354
9127181734312488
1029997511609580
1196159672a7549
123445875b3a438
1313979a3a46198
14759c5cabc844
153704865e3055
hex1b4857060cec

29997511609580 has 96 divisors (see below), whose sum is σ = 64538116651008. Its totient is φ = 11705722560000.

The previous prime is 29997511609523. The next prime is 29997511609589. The reversal of 29997511609580 is 8590611579992.

It is not an unprimeable number, because it can be changed into a prime (29997511609589) 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, 2867003429 + ... + 2867013891.

It is an arithmetic number, because the mean of its divisors is an integer number (672272048448).

Almost surely, 229997511609580 is an apocalyptic number.

29997511609580 is a gapful number since it is divisible by the number (20) 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 29997511609580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32269058325504).

29997511609580 is an abundant number, since it is smaller than the sum of its proper divisors (34540605041428).

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

29997511609580 is a wasteful number, since it uses less digits than its factorization.

29997511609580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14247 (or 14245 counting only the distinct ones).

The product of its (nonzero) digits is 110224800, while the sum is 71.

The spelling of 29997511609580 in words is "twenty-nine trillion, nine hundred ninety-seven billion, five hundred eleven million, six hundred nine thousand, five hundred eighty".

Divisors: 1 2 4 5 10 20 43 86 172 215 430 860 1481 2251 2962 4502 5924 7405 9004 10463 11255 14810 20926 22510 29620 41852 45020 52315 63683 96793 104630 127366 193586 209260 254732 318415 387172 449909 483965 636830 899818 967930 1273660 1799636 1935860 2249545 3333731 4499090 6667462 8998180 13334924 15495703 16668655 23552213 30991406 33337310 47104426 61982812 66674620 77478515 94208852 117761065 143350433 154957030 235522130 286700866 309914060 471044260 573401732 666315229 716752165 1012745159 1332630458 1433504330 2025490318 2665260916 2867008660 3331576145 4050980636 5063725795 6663152290 10127451590 13326304580 20254903180 34880827453 69761654906 139523309812 174404137265 348808274530 697616549060 1499875580479 2999751160958 5999502321916 7499377902395 14998755804790 29997511609580