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12190912432 = 24172712523
BaseRepresentation
bin10110101101010001…
…01000111110110000
31011110121100111222021
423112220220332300
5144431333144212
65333405321224
7611050021516
oct132650507660
934417314867
1012190912432
1151964a7a46
122442866214
1311c388966a
148391164b6
154b53d2307
hex2d6a28fb0

12190912432 has 90 divisors (see below), whose sum is σ = 25498060604. Its totient is φ = 5645283840.

The previous prime is 12190912423. The next prime is 12190912537. The reversal of 12190912432 is 23421909121.

12190912432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (34).

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 17 ways as a sum of consecutive naturals, for example, 23309323 + ... + 23309845.

Almost surely, 212190912432 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 12190912432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12749030302).

12190912432 is an abundant number, since it is smaller than the sum of its proper divisors (13307148172).

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

12190912432 is an equidigital number, since it uses as much as digits as its factorization.

12190912432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The spelling of 12190912432 in words is "twelve billion, one hundred ninety million, nine hundred twelve thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 17 34 68 71 136 142 272 284 289 523 568 578 1046 1136 1156 1207 2092 2312 2414 4184 4624 4828 5041 8368 8891 9656 10082 17782 19312 20164 20519 35564 37133 40328 41038 71128 74266 80656 82076 85697 142256 148532 151147 164152 171394 297064 302294 328304 342788 594128 604588 631261 685576 1209176 1262522 1371152 1456849 2418352 2525044 2636443 2913698 5050088 5272886 5827396 10100176 10545772 10731437 11654792 21091544 21462874 23309584 42183088 42925748 44819531 85851496 89639062 171702992 179278124 358556248 717112496 761932027 1523864054 3047728108 6095456216 12190912432