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123345302768 = 2447594675953
BaseRepresentation
bin111001011011111110…
…0111111010011110000
3102210101010221121011222
41302313330333103300
54010102344142033
6132355233524212
711624416526462
oct1626774772360
9383333847158
10123345302768
1148346231656
121baa4113668
13b82929ba6c
145d81756132
15331da06598
hex1cb7f3f4f0

123345302768 has 80 divisors (see below), whose sum is σ = 248776220160. Its totient is φ = 59200401408.

The previous prime is 123345302719. The next prime is 123345302777. The reversal of 123345302768 is 867203543321.

It is a happy number.

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, 20716880 + ... + 20722832.

It is an arithmetic number, because the mean of its divisors is an integer number (3109702752).

Almost surely, 2123345302768 is an apocalyptic number.

It is an amenable number.

123345302768 is an abundant number, since it is smaller than the sum of its proper divisors (125430917392).

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

123345302768 is a wasteful number, since it uses less digits than its factorization.

123345302768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6534 (or 6528 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 44.

The spelling of 123345302768 in words is "one hundred twenty-three billion, three hundred forty-five million, three hundred two thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 47 59 94 118 188 236 376 467 472 752 934 944 1868 2773 3736 5546 5953 7472 11092 11906 21949 22184 23812 27553 43898 44368 47624 55106 87796 95248 110212 175592 220424 279791 351184 351227 440848 559582 702454 1119164 1294991 1404908 2238328 2589982 2780051 2809816 4476656 5179964 5560102 5619632 10359928 11120204 16507669 20719856 22240408 33015338 44480816 66030676 130662397 132061352 164023009 261324794 264122704 328046018 522649588 656092036 1045299176 1312184072 2090598352 2624368144 7709081423 15418162846 30836325692 61672651384 123345302768