Search a number
-
+
13043827917376 = 26312145632
BaseRepresentation
bin1011110111010000000010…
…1110101100001001000000
31201011222101210110102020121
42331310000232230021000
53202202224421324001
643424130220550024
72514246133634224
oct275640056541100
951158353412217
1013043827917376
114179946897813
121567b936b2314
13738048acb139
14331478b50784
151794772516a1
hexbdd00bac240

13043827917376 has 63 divisors (see below), whose sum is σ = 26747579762163. Its totient is φ = 6311096242560.

The previous prime is 13043827917361. The next prime is 13043827917377. The reversal of 13043827917376 is 67371972834031.

The square root of 13043827917376 is 3611624.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13043827917377) 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, 895675471 + ... + 895690033.

Almost surely, 213043827917376 is an apocalyptic number.

13043827917376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13043827917376 is the 3611624-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13043827917376

13043827917376 is an abundant number, since it is smaller than the sum of its proper divisors (13703751844787).

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

13043827917376 is an frugal number, since it uses more digits than its factorization.

13043827917376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29200 (or 14596 counting only the distinct ones).

The product of its (nonzero) digits is 32006016, while the sum is 61.

The spelling of 13043827917376 in words is "thirteen trillion, forty-three billion, eight hundred twenty-seven million, nine hundred seventeen thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 31 32 62 64 124 248 496 961 992 1922 1984 3844 7688 14563 15376 29126 30752 58252 61504 116504 233008 451453 466016 902906 932032 1805812 3611624 7223248 13995043 14446496 27990086 28892992 55980172 111960344 212080969 223920688 424161938 447841376 848323876 895682752 1696647752 3393295504 6574510039 6786591008 13149020078 13573182016 26298040156 52596080312 105192160624 203809811209 210384321248 407619622418 420768642496 815239244836 1630478489672 3260956979344 6521913958688 13043827917376