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20921810625 = 335410312037
BaseRepresentation
bin10011011111000010…
…010111111011000001
32000000002002002201000
4103133002113323001
5320321440420000
613340015002213
71340314312302
oct233702277301
960002062630
1020921810625
1189668a8a91
12407a809369
131c85669901
1410268bc7a9
15826b55000
hex4df097ec1

20921810625 has 80 divisors (see below), whose sum is σ = 39110980480. Its totient is φ = 11049048000.

The previous prime is 20921810599. The next prime is 20921810719. The reversal of 20921810625 is 52601812902.

20921810625 is a `hidden beast` number, since 2 + 0 + 9 + 2 + 18 + 10 + 625 = 666.

It is not a de Polignac number, because 20921810625 - 29 = 20921810113 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 20921810625.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1732107 + ... + 1744143.

It is an arithmetic number, because the mean of its divisors is an integer number (488887256).

Almost surely, 220921810625 is an apocalyptic number.

20921810625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

20921810625 is a deficient number, since it is larger than the sum of its proper divisors (18189169855).

20921810625 is a wasteful number, since it uses less digits than its factorization.

20921810625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12169 (or 12148 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 20921810625 in words is "twenty billion, nine hundred twenty-one million, eight hundred ten thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 103 125 135 225 309 375 515 625 675 927 1125 1545 1875 2575 2781 3375 4635 5625 7725 12037 12875 13905 16875 23175 36111 38625 60185 64375 69525 108333 115875 180555 193125 300925 324999 347625 541665 579375 902775 1239811 1504625 1624995 1738125 2708325 3719433 4513875 6199055 7523125 8124975 11158299 13541625 18597165 22569375 30995275 33474897 40624875 55791495 67708125 92985825 154976375 167374485 203124375 278957475 464929125 774881875 836872425 1394787375 2324645625 4184362125 6973936875 20921810625