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12380444748 = 22327233210853
BaseRepresentation
bin10111000011110111…
…01001100001001100
31011221210222202102200
423201323221201030
5200323343212443
65404255521500
7615541021050
oct134173514114
934853882380
1012380444748
115283490421
122496229290
131223c1a269
14856371c60
154c6d6edd3
hex2e1ee984c

12380444748 has 72 divisors (see below), whose sum is σ = 35919400608. Its totient is φ = 3522071808.

The previous prime is 12380444693. The next prime is 12380444753. The reversal of 12380444748 is 84744408321.

12380444748 is a `hidden beast` number, since 123 + 80 + 4 + 447 + 4 + 8 = 666.

12380444748 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 23 ways as a sum of consecutive naturals, for example, 46711 + ... + 164142.

It is an arithmetic number, because the mean of its divisors is an integer number (498880564).

Almost surely, 212380444748 is an apocalyptic number.

12380444748 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12380444748 is an abundant number, since it is smaller than the sum of its proper divisors (23538955860).

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

12380444748 is a wasteful number, since it uses less digits than its factorization.

12380444748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211103 (or 211098 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The spelling of 12380444748 in words is "twelve billion, three hundred eighty million, four hundred forty-four thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 233 252 466 699 932 1398 1631 2097 2796 3262 4194 4893 6524 8388 9786 14679 19572 29358 58716 210853 421706 632559 843412 1265118 1475971 1897677 2530236 2951942 3795354 4427913 5903884 7590708 8855826 13283739 17711652 26567478 49128749 53134956 98257498 147386247 196514996 294772494 343901243 442158741 589544988 687802486 884317482 1031703729 1375604972 1768634964 2063407458 3095111187 4126814916 6190222374 12380444748