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16115268096 = 293211330949
BaseRepresentation
bin11110000001000101…
…10111101000000000
31112121002201102220100
433000202313220000
5231001002034341
611223034042400
71110231342624
oct170042675000
945532642810
1016115268096
11691a715494
123158b79400
13169a9143c5
14acc3b9184
15644bb43b6
hex3c08b7a00

16115268096 has 120 divisors (see below), whose sum is σ = 46922861700. Its totient is φ = 5324046336.

The previous prime is 16115268089. The next prime is 16115268137. The reversal of 16115268096 is 69086251161.

16115268096 is a `hidden beast` number, since 1 + 611 + 5 + 26 + 8 + 0 + 9 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 16094474496 + 20793600 = 126864^2 + 4560^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 505230 + ... + 536178.

Almost surely, 216115268096 is an apocalyptic number.

16115268096 is a gapful number since it is divisible by the number (16) 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 16115268096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23461430850).

16115268096 is an abundant number, since it is smaller than the sum of its proper divisors (30807593604).

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

16115268096 is a wasteful number, since it uses less digits than its factorization.

16115268096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31086 (or 31067 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 16115268096 in words is "sixteen billion, one hundred fifteen million, two hundred sixty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 113 128 144 192 226 256 288 339 384 452 512 576 678 768 904 1017 1152 1356 1536 1808 2034 2304 2712 3616 4068 4608 5424 7232 8136 10848 14464 16272 21696 28928 30949 32544 43392 57856 61898 65088 86784 92847 123796 130176 173568 185694 247592 260352 278541 371388 495184 520704 557082 742776 990368 1114164 1485552 1980736 2228328 2971104 3497237 3961472 4456656 5942208 6994474 7922944 8913312 10491711 11884416 13988948 15845888 17826624 20983422 23768832 27977896 31475133 35653248 41966844 47537664 55955792 62950266 71306496 83933688 111911584 125900532 142612992 167867376 223823168 251801064 335734752 447646336 503602128 671469504 895292672 1007204256 1342939008 1790585344 2014408512 2685878016 4028817024 5371756032 8057634048 16115268096