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21405332925 = 32521137011201
BaseRepresentation
bin10011111011110110…
…110111010110111101
32001020202220120121100
4103323312313112331
5322314231123200
613500010323313
71355305220304
oct237366672675
961222816540
1021405332925
119094830499
124194729539
1320318a2892
141070bc543b
15854315d00
hex4fbdb75bd

21405332925 has 72 divisors (see below), whose sum is σ = 38766043368. Its totient is φ = 11289600000.

The previous prime is 21405332903. The next prime is 21405332989. The reversal of 21405332925 is 52923350412.

It can be written as a sum of positive squares in 12 ways, for example, as 15737953401 + 5667379524 = 125451^2 + 75282^2 .

It is not a de Polignac number, because 21405332925 - 215 = 21405300157 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 21405332925.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17822325 + ... + 17823525.

It is an arithmetic number, because the mean of its divisors is an integer number (538417269).

Almost surely, 221405332925 is an apocalyptic number.

21405332925 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

21405332925 is a deficient number, since it is larger than the sum of its proper divisors (17360710443).

21405332925 is a wasteful number, since it uses less digits than its factorization.

21405332925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2031 (or 2023 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 21405332925 in words is "twenty-one billion, four hundred five million, three hundred thirty-two thousand, nine hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 113 225 339 565 701 1017 1201 1695 2103 2825 3505 3603 5085 6005 6309 8475 10515 10809 17525 18015 25425 30025 31545 52575 54045 79213 90075 135713 157725 237639 270225 396065 407139 678565 712917 841901 1188195 1221417 1980325 2035695 2525703 3392825 3564585 4209505 5940975 6107085 7577109 10178475 12628515 17822925 21047525 30535425 37885545 63142575 95134813 189427725 285404439 475674065 856213317 1427022195 2378370325 4281066585 7135110975 21405332925