Search a number
-
+
16071064512 = 263175718623
BaseRepresentation
bin11101111011110100…
…01111101111000000
31112111000112122222120
432331322033233000
5230403143031022
611214414404240
71106153536326
oct167572175700
945430478876
1016071064512
1168a77736a8
123146200680
131691708439
14ac658dd16
15640d81d5c
hex3bde8fbc0

16071064512 has 112 divisors (see below), whose sum is σ = 45106693632. Its totient is φ = 5032488960.

The previous prime is 16071064487. The next prime is 16071064517. The reversal of 16071064512 is 21546017061.

It is a super-2 number, since 2×160710645122 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16071064517) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1859433 + ... + 1868055.

It is an arithmetic number, because the mean of its divisors is an integer number (402738336).

Almost surely, 216071064512 is an apocalyptic number.

16071064512 is a gapful number since it is divisible by the number (12) 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 16071064512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22553346816).

16071064512 is an abundant number, since it is smaller than the sum of its proper divisors (29035629120).

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

16071064512 is a wasteful number, since it uses less digits than its factorization.

16071064512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9226 (or 9216 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The spelling of 16071064512 in words is "sixteen billion, seventy-one million, sixty-four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 408 544 571 816 1088 1142 1632 1713 2284 3264 3426 4568 6852 8623 9136 9707 13704 17246 18272 19414 25869 27408 29121 34492 36544 38828 51738 54816 58242 68984 77656 103476 109632 116484 137968 146591 155312 206952 232968 275936 293182 310624 413904 439773 465936 551872 586364 621248 827808 879546 931872 1172728 1655616 1759092 1863744 2345456 3518184 4690912 4923733 7036368 9381824 9847466 14072736 14771199 19694932 28145472 29542398 39389864 59084796 78779728 83703461 118169592 157559456 167406922 236339184 251110383 315118912 334813844 472678368 502220766 669627688 945356736 1004441532 1339255376 2008883064 2678510752 4017766128 5357021504 8035532256 16071064512