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21604456960 = 2958439241
BaseRepresentation
bin10100000111101110…
…011101101000000000
32001202122121010102121
4110013232131220000
5323221220110320
613531442254024
71363243565662
oct240756355000
961678533377
1021604456960
119187175309
12422b357314
132063c11258
14108d41a532
15866a4a8aa
hex507b9da00

21604456960 has 40 divisors (see below), whose sum is σ = 51800067396. Its totient is φ = 8641781760.

The previous prime is 21604456931. The next prime is 21604456961. The reversal of 21604456960 is 6965440612.

It can be written as a sum of positive squares in 2 ways, for example, as 20145828096 + 1458628864 = 141936^2 + 38192^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (21604456961) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4217061 + ... + 4222180.

Almost surely, 221604456960 is an apocalyptic number.

21604456960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21604456960 is an abundant number, since it is smaller than the sum of its proper divisors (30195610436).

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

21604456960 is an frugal number, since it uses more digits than its factorization.

21604456960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8439264 (or 8439248 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 43.

The spelling of 21604456960 in words is "twenty-one billion, six hundred four million, four hundred fifty-six thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 8439241 16878482 33756964 42196205 67513928 84392410 135027856 168784820 270055712 337569640 540111424 675139280 1080222848 1350278560 2160445696 2700557120 4320891392 5401114240 10802228480 21604456960