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204987022272 = 2633361732797
BaseRepresentation
bin1011111011101000101…
…1011011101111000000
3201121002220020122222000
42332322023123233000
511324303134203042
6234100355144000
720544524640354
oct2767213335700
9647086218860
10204987022272
1179a3091490a
12338898a5000
131643a585a26
149cc8565464
1554eb1b574c
hex2fba2dbbc0

204987022272 has 112 divisors (see below), whose sum is σ = 602808873120. Its totient is φ = 68308033536.

The previous prime is 204987022271. The next prime is 204987022297. The reversal of 204987022272 is 272220789402.

204987022272 is a `hidden beast` number, since 2 + 0 + 498 + 70 + 2 + 22 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204987022271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6233778 + ... + 6266574.

Almost surely, 2204987022272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204987022272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301404436560).

204987022272 is an abundant number, since it is smaller than the sum of its proper divisors (397821850848).

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

204987022272 is a wasteful number, since it uses less digits than its factorization.

204987022272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36435 (or 36419 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 204987022272 in words is "two hundred four billion, nine hundred eighty-seven million, twenty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 3617 7234 10851 14468 21702 28936 32553 32797 43404 57872 65106 65594 86808 97659 98391 115744 130212 131188 173616 195318 196782 231488 260424 262376 295173 347232 390636 393564 520848 524752 590346 694464 781272 787128 885519 1041696 1049504 1180692 1562544 1574256 1771038 2083392 2099008 2361384 3125088 3148512 3542076 4722768 6250176 6297024 7084152 9445536 14168304 18891072 28336608 56673216 118626749 237253498 355880247 474506996 711760494 949013992 1067640741 1423520988 1898027984 2135281482 2847041976 3202922223 3796055968 4270562964 5694083952 6405844446 7592111936 8541125928 11388167904 12811688892 17082251856 22776335808 25623377784 34164503712 51246755568 68329007424 102493511136 204987022272