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13452325344 = 253355727953
BaseRepresentation
bin11001000011101001…
…00011000111100000
31021201111220221012000
430201310203013200
5210022243402334
610102510004000
7654234610263
oct144164430740
937644827160
1013452325344
11578353a157
1227351a6600
131365003c33
14918870cda
1553aeee299
hex321d231e0

13452325344 has 96 divisors (see below), whose sum is σ = 39307796640. Its totient is φ = 4475897856.

The previous prime is 13452325319. The next prime is 13452325421. The reversal of 13452325344 is 44352325431.

13452325344 is a `hidden beast` number, since 1 + 345 + 23 + 253 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13452325299 and 13452325308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 467272 + ... + 495224.

It is an arithmetic number, because the mean of its divisors is an integer number (409456215).

Almost surely, 213452325344 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 13452325344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19653898320).

13452325344 is an abundant number, since it is smaller than the sum of its proper divisors (25855471296).

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

13452325344 is a wasteful number, since it uses less digits than its factorization.

13452325344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28529 (or 28515 counting only the distinct ones).

The product of its digits is 172800, while the sum is 36.

The spelling of 13452325344 in words is "thirteen billion, four hundred fifty-two million, three hundred twenty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 557 864 1114 1671 2228 3342 4456 5013 6684 8912 10026 13368 15039 17824 20052 26736 27953 30078 40104 53472 55906 60156 80208 83859 111812 120312 160416 167718 223624 240624 251577 335436 447248 481248 503154 670872 754731 894496 1006308 1341744 1509462 2012616 2683488 3018924 4025232 6037848 8050464 12075696 15569821 24151392 31139642 46709463 62279284 93418926 124558568 140128389 186837852 249117136 280256778 373675704 420385167 498234272 560513556 747351408 840770334 1121027112 1494702816 1681540668 2242054224 3363081336 4484108448 6726162672 13452325344