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16043768896 = 267122232
BaseRepresentation
bin11101111000100100…
…00111110001000000
31112102010011220102211
432330102013301000
5230324201101041
611212001351504
71105402533301
oct167422076100
945363156384
1016043768896
116893320041
123139038594
131688b6c39c
14ac2ac67a8
1563d78e481
hex3bc487c40

16043768896 has 63 divisors (see below), whose sum is σ = 32437030503. Its totient is φ = 7873434240.

The previous prime is 16043768893. The next prime is 16043768911. The reversal of 16043768896 is 69886734061.

It is a happy number.

The square root of 16043768896 is 126664.

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

It is a super-3 number, since 3×160437688963 (a number of 32 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 16043768896.

It is not an unprimeable number, because it can be changed into a prime (16043768893) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 71945041 + ... + 71945263.

Almost surely, 216043768896 is an apocalyptic number.

16043768896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

16043768896 is the 126664-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16043768896

16043768896 is an abundant number, since it is smaller than the sum of its proper divisors (16393261607).

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

16043768896 is an frugal number, since it uses more digits than its factorization.

16043768896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 58.

The spelling of 16043768896 in words is "sixteen billion, forty-three million, seven hundred sixty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 71 142 223 284 446 568 892 1136 1784 2272 3568 4544 5041 7136 10082 14272 15833 20164 31666 40328 49729 63332 80656 99458 126664 161312 198916 253328 322624 397832 506656 795664 1013312 1124143 1591328 2248286 3182656 3530759 4496572 7061518 8993144 14123036 17986288 28246072 35972576 56492144 71945152 112984288 225968576 250683889 501367778 1002735556 2005471112 4010942224 8021884448 16043768896