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5653495872 = 263330710657
BaseRepresentation
bin1010100001111100…
…11000000001000000
3112121000001100101000
411100332120001000
543034243331442
62332554012000
7260045631153
oct52076300100
915530040330
105653495872
112441284142
121119417000
136c1367b3b
143b8bb1c9a
152314ded4c
hex150f98040

5653495872 has 112 divisors (see below), whose sum is σ = 16675933120. Its totient is φ = 1878183936.

The previous prime is 5653495829. The next prime is 5653495889. The reversal of 5653495872 is 2785943565.

5653495872 is a `hidden beast` number, since 5 + 6 + 53 + 4 + 9 + 587 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 525168 + ... + 535824.

It is an arithmetic number, because the mean of its divisors is an integer number (148892260).

Almost surely, 25653495872 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 5653495872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8337966560).

5653495872 is an abundant number, since it is smaller than the sum of its proper divisors (11022437248).

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

5653495872 is a wasteful number, since it uses less digits than its factorization.

5653495872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10985 (or 10969 counting only the distinct ones).

The product of its digits is 9072000, while the sum is 54.

The square root of 5653495872 is about 75189.7324905469. The cubic root of 5653495872 is about 1781.4447589373. Note that the first 3 decimals are identical.

The spelling of 5653495872 in words is "five billion, six hundred fifty-three million, four hundred ninety-five thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 307 432 576 614 864 921 1228 1728 1842 2456 2763 3684 4912 5526 7368 8289 9824 10657 11052 14736 16578 19648 21314 22104 29472 31971 33156 42628 44208 58944 63942 66312 85256 88416 95913 127884 132624 170512 176832 191826 255768 265248 287739 341024 383652 511536 530496 575478 682048 767304 1023072 1150956 1534608 2046144 2301912 3069216 3271699 4603824 6138432 6543398 9207648 9815097 13086796 18415296 19630194 26173592 29445291 39260388 52347184 58890582 78520776 88335873 104694368 117781164 157041552 176671746 209388736 235562328 314083104 353343492 471124656 628166208 706686984 942249312 1413373968 1884498624 2826747936 5653495872