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12466020384 = 2532195873881
BaseRepresentation
bin10111001110000100…
…00110000000100000
31012011210000110010200
423213002012000200
5201012300123014
65420554025200
7620630265516
oct134702060040
935153013120
1012466020384
11531781a694
1224baa18200
13123888042c
1486388a4b6
154ce625a09
hex2e7086020

12466020384 has 144 divisors (see below), whose sum is σ = 37389250080. Its totient is φ = 3928919040.

The previous prime is 12466020377. The next prime is 12466020409. The reversal of 12466020384 is 48302066421.

12466020384 is a `hidden beast` number, since 1 + 2 + 46 + 602 + 0 + 3 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3210124 + ... + 3214004.

It is an arithmetic number, because the mean of its divisors is an integer number (259647570).

Almost surely, 212466020384 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 12466020384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18694625040).

12466020384 is an abundant number, since it is smaller than the sum of its proper divisors (24923229696).

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

12466020384 is a wasteful number, since it uses less digits than its factorization.

12466020384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4503 (or 4492 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 12466020384 in words is "twelve billion, four hundred sixty-six million, twenty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 587 608 684 912 1174 1368 1761 1824 2348 2736 3522 3881 4696 5283 5472 7044 7762 9392 10566 11153 11643 14088 15524 18784 21132 22306 23286 28176 31048 33459 34929 42264 44612 46572 56352 62096 66918 69858 73739 84528 89224 93144 100377 124192 133836 139716 147478 169056 178448 186288 200754 221217 267672 279432 294956 356896 372576 401508 442434 535344 558864 589912 663651 803016 884868 1070688 1117728 1179824 1327302 1606032 1769736 2278147 2359648 2654604 3212064 3539472 4556294 5309208 6834441 7078944 9112588 10618416 13668882 18225176 20503323 21236832 27337764 36450352 41006646 43284793 54675528 72900704 82013292 86569586 109351056 129854379 164026584 173139172 218702112 259708758 328053168 346278344 389563137 519417516 656106336 692556688 779126274 1038835032 1385113376 1558252548 2077670064 3116505096 4155340128 6233010192 12466020384