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18016210464 = 253748755051
BaseRepresentation
bin10000110001110110…
…011000111000100000
31201111120200022121020
4100301312120320200
5243344122213324
612135421525440
71205313155640
oct206166307040
951446608536
1018016210464
11770575463a
1235a9713880
1319116b7b85
14c2ca4a520
15706a0b679
hex431d98e20

18016210464 has 96 divisors (see below), whose sum is σ = 54160598016. Its totient is φ = 5136825600.

The previous prime is 18016210439. The next prime is 18016210501. The reversal of 18016210464 is 46401261081.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 299739 + ... + 354789.

It is an arithmetic number, because the mean of its divisors is an integer number (564172896).

Almost surely, 218016210464 is an apocalyptic number.

18016210464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18016210464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27080299008).

18016210464 is an abundant number, since it is smaller than the sum of its proper divisors (36144387552).

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

18016210464 is a wasteful number, since it uses less digits than its factorization.

18016210464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55558 (or 55550 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The spelling of 18016210464 in words is "eighteen billion, sixteen million, two hundred ten thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 487 672 974 1461 1948 2922 3409 3896 5844 6818 7792 10227 11688 13636 15584 20454 23376 27272 40908 46752 54544 55051 81816 109088 110102 163632 165153 220204 327264 330306 385357 440408 660612 770714 880816 1156071 1321224 1541428 1761632 2312142 2642448 3082856 4624284 5284896 6165712 9248568 12331424 18497136 26809837 36994272 53619674 80429511 107239348 160859022 187668859 214478696 321718044 375337718 428957392 563006577 643436088 750675436 857914784 1126013154 1286872176 1501350872 2252026308 2573744352 3002701744 4504052616 6005403488 9008105232 18016210464