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12804234192 = 2433163181837
BaseRepresentation
bin10111110110011000…
…10001101111010000
31020001100102111021000
423323030101233100
5202210340443232
65514315102000
7632205123561
oct137314215720
936040374230
1012804234192
115480724732
122594141900
13129096aa49
1489676a168
154ee18227c
hex2fb311bd0

12804234192 has 80 divisors (see below), whose sum is σ = 36978575680. Its totient is φ = 4241870208.

The previous prime is 12804234173. The next prime is 12804234259. The reversal of 12804234192 is 29143240821.

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

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, 20503 + ... + 161334.

It is an arithmetic number, because the mean of its divisors is an integer number (462232196).

Almost surely, 212804234192 is an apocalyptic number.

12804234192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12804234192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18489287840).

12804234192 is an abundant number, since it is smaller than the sum of its proper divisors (24174341488).

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

12804234192 is a wasteful number, since it uses less digits than its factorization.

12804234192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182017 (or 182005 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 12804234192 in words is "twelve billion, eight hundred four million, two hundred thirty-four thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 163 216 326 432 489 652 978 1304 1467 1956 2608 2934 3912 4401 5868 7824 8802 11736 17604 23472 35208 70416 181837 363674 545511 727348 1091022 1454696 1636533 2182044 2909392 3273066 4364088 4909599 6546132 8728176 9819198 13092264 19638396 26184528 29639431 39276792 59278862 78553584 88918293 118557724 177836586 237115448 266754879 355673172 474230896 533509758 711346344 800264637 1067019516 1422692688 1600529274 2134039032 3201058548 4268078064 6402117096 12804234192