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252644669376 = 263111021117163
BaseRepresentation
bin1110101101001011001…
…0111011011111000000
3220011010020111222110220
43223102302323133000
513114404013410001
6312021404023040
724152525154051
oct3532262733700
9804106458426
10252644669376
1198167369520
1240b6a231a80
131aa93c71b08
14c329b60728
15688a0bec36
hex3ad2cbb7c0

252644669376 has 112 divisors (see below), whose sum is σ = 729944842368. Its totient is φ = 76483353600.

The previous prime is 252644669339. The next prime is 252644669377. The reversal of 252644669376 is 673966446252.

252644669376 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252644669377) 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, 2097771 + ... + 2214933.

It is an arithmetic number, because the mean of its divisors is an integer number (6517364664).

Almost surely, 2252644669376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252644669376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364972421184).

252644669376 is an abundant number, since it is smaller than the sum of its proper divisors (477300172992).

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

252644669376 is a wasteful number, since it uses less digits than its factorization.

252644669376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118210 (or 118200 counting only the distinct ones).

The product of its digits is 78382080, while the sum is 60.

The spelling of 252644669376 in words is "two hundred fifty-two billion, six hundred forty-four million, six hundred sixty-nine thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1021 1056 2042 2112 3063 4084 6126 8168 11231 12252 16336 22462 24504 32672 33693 44924 49008 65344 67386 89848 98016 117163 134772 179696 196032 234326 269544 351489 359392 468652 539088 702978 718784 937304 1078176 1288793 1405956 1874608 2156352 2577586 2811912 3749216 3866379 5155172 5623824 7498432 7732758 10310344 11247648 15465516 20620688 22495296 30931032 41241376 61862064 82482752 119623423 123724128 239246846 247448256 358870269 478493692 717740538 956987384 1315857653 1435481076 1913974768 2631715306 2870962152 3827949536 3947572959 5263430612 5741924304 7655899072 7895145918 10526861224 11483848608 15790291836 21053722448 22967697216 31580583672 42107444896 63161167344 84214889792 126322334688 252644669376