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6452013216 = 2531141149021
BaseRepresentation
bin1100000001001000…
…11110100010100000
3121122122121020020110
412000210132202200
5101203203410331
62544121011320
7315613131105
oct60044364240
917578536213
106452013216
112810aa2030
121300923b40
137ba91bbcc
14452c72aac
1527b672946
hex18091e8a0

6452013216 has 96 divisors (see below), whose sum is σ = 18926986176. Its totient is φ = 1907456000.

The previous prime is 6452013203. The next prime is 6452013233. The reversal of 6452013216 is 6123102546.

It is a tau number, because it is divible by the number of its divisors (96).

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, 31215 + ... + 117806.

It is an arithmetic number, because the mean of its divisors is an integer number (197156106).

Almost surely, 26452013216 is an apocalyptic number.

6452013216 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

6452013216 is an abundant number, since it is smaller than the sum of its proper divisors (12474972960).

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

6452013216 is a wasteful number, since it uses less digits than its factorization.

6452013216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149086 (or 149078 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 6452013216 is about 80324.4247785193. The cubic root of 6452013216 is about 1861.6516350466.

The spelling of 6452013216 in words is "six billion, four hundred fifty-two million, thirteen thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 41 44 48 66 82 88 96 123 132 164 176 246 264 328 352 451 492 528 656 902 984 1056 1312 1353 1804 1968 2706 3608 3936 5412 7216 10824 14432 21648 43296 149021 298042 447063 596084 894126 1192168 1639231 1788252 2384336 3278462 3576504 4768672 4917693 6109861 6556924 7153008 9835386 12219722 13113848 14306016 18329583 19670772 24439444 26227696 36659166 39341544 48878888 52455392 67208471 73318332 78683088 97757776 134416942 146636664 157366176 195515552 201625413 268833884 293273328 403250826 537667768 586546656 806501652 1075335536 1613003304 2150671072 3226006608 6452013216