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232012451152400 = 245219229313313543
BaseRepresentation
bin110100110000001110011011…
…101111000000001000010000
31010102111011200122012202010012
4310300032123233000020100
5220402242444443334100
62141241014301054052
766604226553405002
oct6460163357001020
91112434618182105
10232012451152400
1167a20a2313a286
1222031698557328
139c5c8ac708399
14414166935a372
151bc5299ed1135
hexd3039bbc0210

232012451152400 has 120 divisors (see below), whose sum is σ = 587003208169920. Its totient is φ = 87882158200320.

The previous prime is 232012451152373. The next prime is 232012451152409. The reversal of 232012451152400 is 4251154210232.

It is not an unprimeable number, because it can be changed into a prime (232012451152409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10770029 + ... + 24083571.

It is an arithmetic number, because the mean of its divisors is an integer number (4891693401416).

Almost surely, 2232012451152400 is an apocalyptic number.

232012451152400 is a gapful number since it is divisible by the number (20) 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 232012451152400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293501604084960).

232012451152400 is an abundant number, since it is smaller than the sum of its proper divisors (354990757017520).

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

232012451152400 is a wasteful number, since it uses less digits than its factorization.

232012451152400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13315873 (or 13315862 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

The spelling of 232012451152400 in words is "two hundred thirty-two trillion, twelve billion, four hundred fifty-one million, one hundred fifty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 152 190 200 304 380 400 475 760 950 1520 1900 2293 3800 4586 7600 9172 11465 18344 22930 36688 43567 45860 57325 87134 91720 114650 174268 183440 217835 229300 348536 435670 458600 697072 871340 917200 1089175 1742680 2178350 3485360 4356700 8713400 13313543 17426800 26627086 53254172 66567715 106508344 133135430 213016688 252957317 266270860 332838575 505914634 532541720 665677150 1011829268 1065083440 1264786585 1331354300 2023658536 2529573170 2662708600 4047317072 5059146340 5325417200 6323932925 10118292680 12647865850 20236585360 25295731700 30527954099 50591463400 61055908198 101182926800 122111816396 152639770495 244223632792 305279540990 488447265584 580031127881 610559081980 763198852475 1160062255762 1221118163960 1526397704950 2320124511524 2442236327920 2900155639405 3052795409900 4640249023048 5800311278810 6105590819800 9280498046096 11600622557620 12211181639600 14500778197025 23201245115240 29001556394050 46402490230480 58003112788100 116006225576200 232012451152400