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252342431253 = 321147107506843
BaseRepresentation
bin1110101100000011000…
…1111110111000010101
3220010100011210200201100
43223000301332320111
513113244130300003
6311531410020313
724142165163253
oct3530061767025
9803304720640
10252342431253
11980217a6550
1240aa4b77699
131aa4646c3a3
14c2db9675d3
15686d7bcba3
hex3ac0c7ee15

252342431253 has 48 divisors (see below), whose sum is σ = 409886770176. Its totient is φ = 148281695520.

The previous prime is 252342431239. The next prime is 252342431269. The reversal of 252342431253 is 352134243252.

252342431253 is a `hidden beast` number, since 2 + 523 + 4 + 2 + 4 + 3 + 125 + 3 = 666.

It is not a de Polignac number, because 252342431253 - 28 = 252342430997 is a prime.

It is a super-2 number, since 2×2523424312532 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252342431203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 244450 + ... + 751292.

It is an arithmetic number, because the mean of its divisors is an integer number (8539307712).

Almost surely, 2252342431253 is an apocalyptic number.

It is an amenable number.

252342431253 is a deficient number, since it is larger than the sum of its proper divisors (157544338923).

252342431253 is a wasteful number, since it uses less digits than its factorization.

252342431253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507014 (or 507011 counting only the distinct ones).

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

The spelling of 252342431253 in words is "two hundred fifty-two billion, three hundred forty-two million, four hundred thirty-one thousand, two hundred fifty-three".

Divisors: 1 3 9 11 33 47 99 107 141 321 423 517 963 1177 1551 3531 4653 5029 10593 15087 45261 55319 165957 497871 506843 1520529 4561587 5575273 16725819 23821621 50177457 54232201 71464863 162696603 214394589 262037831 488089809 596554211 786113493 1789662633 2358340479 2548913447 5368987899 7646740341 22940221023 28038047917 84114143751 252342431253