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18190456384 = 262327332
BaseRepresentation
bin10000111100001111…
…000101011001000000
31201221201112221001211
4100330033011121000
5244223224101014
612205004335504
71212530220352
oct207417053100
951851487054
1018190456384
117795047131
123637b44594
13193b825979
14c47c470d2
15716e79cc4
hex43c3c5640

18190456384 has 63 divisors (see below), whose sum is σ = 37785893313. Its totient is φ = 8687914752.

The previous prime is 18190456357. The next prime is 18190456397. The reversal of 18190456384 is 48365409181.

It is a happy number.

The square root of 18190456384 is 134872.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 17795560000 + 394896384 = 133400^2 + 19872^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 24816082 + ... + 24816814.

Almost surely, 218190456384 is an apocalyptic number.

18190456384 is the 134872-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18190456384

18190456384 is an abundant number, since it is smaller than the sum of its proper divisors (19595436929).

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

18190456384 is an frugal number, since it uses more digits than its factorization.

18190456384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1524 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 49.

Multiplying 18190456384 by its sum of digits (49), we get a square (891332362816 = 9441042).

The spelling of 18190456384 in words is "eighteen billion, one hundred ninety million, four hundred fifty-six thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 23 32 46 64 92 184 368 529 733 736 1058 1466 1472 2116 2932 4232 5864 8464 11728 16859 16928 23456 33718 33856 46912 67436 134872 269744 387757 537289 539488 775514 1074578 1078976 1551028 2149156 3102056 4298312 6204112 8596624 12357647 12408224 17193248 24715294 24816448 34386496 49430588 98861176 197722352 284225881 395444704 568451762 790889408 1136903524 2273807048 4547614096 9095228192 18190456384