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12380819360 = 255713850331
BaseRepresentation
bin10111000011111010…
…00100111110100000
31011221211200210022012
423201331010332200
5200323442204420
65404311532052
7615544141160
oct134175047640
934854623265
1012380819360
115283716918
12249638a028
13122401b920
1485642c5a0
154c6de5dc5
hex2e1f44fa0

12380819360 has 96 divisors (see below), whose sum is σ = 35999655552. Its totient is φ = 3918320640.

The previous prime is 12380819357. The next prime is 12380819389. The reversal of 12380819360 is 6391808321.

12380819360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 410606 + ... + 439725.

It is an arithmetic number, because the mean of its divisors is an integer number (374996412).

Almost surely, 212380819360 is an apocalyptic number.

12380819360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12380819360 is an abundant number, since it is smaller than the sum of its proper divisors (23618836192).

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

12380819360 is a wasteful number, since it uses less digits than its factorization.

12380819360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850366 (or 850358 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 41.

The spelling of 12380819360 in words is "twelve billion, three hundred eighty million, eight hundred nineteen thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 65 70 80 91 104 112 130 140 160 182 208 224 260 280 364 416 455 520 560 728 910 1040 1120 1456 1820 2080 2912 3640 7280 14560 850331 1700662 3401324 4251655 5952317 6802648 8503310 11054303 11904634 13605296 17006620 22108606 23809268 27210592 29761585 34013240 44217212 47618536 55271515 59523170 68026480 77380121 88434424 95237072 110543030 119046340 136052960 154760242 176868848 190474144 221086060 238092680 309520484 353737696 386900605 442172120 476185360 619040968 773801210 884344240 952370720 1238081936 1547602420 1768688480 2476163872 3095204840 6190409680 12380819360