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12245345352 = 2332295864629
BaseRepresentation
bin10110110011110000…
…10010010001001000
31011121101202222220100
423121320102101020
5200034302022402
65343032125400
7612310501212
oct133170222110
934541688810
1012245345352
1152141a6229
122458b36860
131201c376a6
148424455b2
154ba08571c
hex2d9e12448

12245345352 has 48 divisors (see below), whose sum is σ = 34308085500. Its totient is φ = 3941030016.

The previous prime is 12245345341. The next prime is 12245345407. The reversal of 12245345352 is 25354354221.

12245345352 is a `hidden beast` number, since 1 + 2 + 24 + 534 + 53 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12123331236 + 122014116 = 110106^2 + 11046^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2930227 + ... + 2934402.

Almost surely, 212245345352 is an apocalyptic number.

12245345352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12245345352 is an abundant number, since it is smaller than the sum of its proper divisors (22062740148).

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

12245345352 is a wasteful number, since it uses less digits than its factorization.

12245345352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5864670 (or 5864663 counting only the distinct ones).

The product of its digits is 144000, while the sum is 36.

Adding to 12245345352 its reverse (25354354221), we get a palindrome (37599699573).

The spelling of 12245345352 in words is "twelve billion, two hundred forty-five million, three hundred forty-five thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 522 696 1044 2088 5864629 11729258 17593887 23458516 35187774 46917032 52781661 70375548 105563322 140751096 170074241 211126644 340148482 422253288 510222723 680296964 1020445446 1360593928 1530668169 2040890892 3061336338 4081781784 6122672676 12245345352