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12234815768 = 2371973157519
BaseRepresentation
bin10110110010100000…
…00111100100011000
31011120122222001000202
423121100013210120
5200024103101033
65342014321332
7612122134550
oct133120074430
934518861022
1012234815768
11520926419a
1224554b9248
1311cc9bba76
14840ca4160
154b91a58e8
hex2d9407918

12234815768 has 64 divisors (see below), whose sum is σ = 27975552000. Its totient is φ = 4899439872.

The previous prime is 12234815743. The next prime is 12234815773. The reversal of 12234815768 is 86751843221.

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, 1088 + ... + 156431.

It is an arithmetic number, because the mean of its divisors is an integer number (437118000).

Almost surely, 212234815768 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 12234815768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13987776000).

12234815768 is an abundant number, since it is smaller than the sum of its proper divisors (15740736232).

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

12234815768 is a wasteful number, since it uses less digits than its factorization.

12234815768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157624 (or 157620 counting only the distinct ones).

The product of its digits is 645120, while the sum is 47.

The spelling of 12234815768 in words is "twelve billion, two hundred thirty-four million, eight hundred fifteen thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 19 28 38 56 73 76 133 146 152 266 292 511 532 584 1022 1064 1387 2044 2774 4088 5548 9709 11096 19418 38836 77672 157519 315038 630076 1102633 1260152 2205266 2992861 4410532 5985722 8821064 11498887 11971444 20950027 22997774 23942888 41900054 45995548 80492209 83800108 91991096 160984418 167600216 218478853 321968836 436957706 643937672 873915412 1529351971 1747830824 3058703942 6117407884 12234815768