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12365146040 = 23513191251533
BaseRepresentation
bin10111000010000010…
…10010011110111000
31011220202012111112212
423201001102132320
5200310434133130
65402551554252
7615264002312
oct134101223670
934822174485
1012365146040
115275891265
12249108b988
1312209c1980
1485430c7b2
154c584be95
hex2e10527b8

12365146040 has 64 divisors (see below), whose sum is σ = 31538656800. Its totient is φ = 4325294592.

The previous prime is 12365146039. The next prime is 12365146133. The reversal of 12365146040 is 4064156321.

It is a junction number, because it is equal to n+sod(n) for n = 12365145988 and 12365146006.

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, 615887 + ... + 635646.

Almost surely, 212365146040 is an apocalyptic number.

12365146040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12365146040 is an abundant number, since it is smaller than the sum of its proper divisors (19173510760).

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

12365146040 is a wasteful number, since it uses less digits than its factorization.

12365146040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1251576 (or 1251572 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The spelling of 12365146040 in words is "twelve billion, three hundred sixty-five million, one hundred forty-six thousand, forty".

Divisors: 1 2 4 5 8 10 13 19 20 26 38 40 52 65 76 95 104 130 152 190 247 260 380 494 520 760 988 1235 1976 2470 4940 9880 1251533 2503066 5006132 6257665 10012264 12515330 16269929 23779127 25030660 32539858 47558254 50061320 65079716 81349645 95116508 118895635 130159432 162699290 190233016 237791270 309128651 325398580 475582540 618257302 650797160 951165080 1236514604 1545643255 2473029208 3091286510 6182573020 12365146040