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12091393632 = 253296316883
BaseRepresentation
bin10110100001011010…
…00000011001100000
31011012200002102211210
423100231000121200
5144230344044012
65315452310120
7605431102323
oct132055003140
934180072753
1012091393632
115145304aaa
122415472340
1311a9083bb6
14829c0c7ba
154ab7c523c
hex2d0b40660

12091393632 has 96 divisors (see below), whose sum is σ = 32891201280. Its totient is φ = 3884751360.

The previous prime is 12091393609. The next prime is 12091393673. The reversal of 12091393632 is 23639319021.

It is a tau number, because it is divible by the number of its divisors (96).

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, 1753263 + ... + 1760145.

It is an arithmetic number, because the mean of its divisors is an integer number (342616680).

Almost surely, 212091393632 is an apocalyptic number.

12091393632 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 12091393632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16445600640).

12091393632 is an abundant number, since it is smaller than the sum of its proper divisors (20799807648).

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

12091393632 is a wasteful number, since it uses less digits than its factorization.

12091393632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7556 (or 7548 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 39.

The spelling of 12091393632 in words is "twelve billion, ninety-one million, three hundred ninety-three thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 631 696 928 1262 1392 1893 2524 2784 3786 5048 6883 7572 10096 13766 15144 18299 20192 20649 27532 30288 36598 41298 54897 55064 60576 73196 82596 109794 110128 146392 165192 199607 219588 220256 292784 330384 399214 439176 585568 598821 660768 798428 878352 1197642 1596856 1756704 2395284 3193712 4343173 4790568 6387424 8686346 9581136 13029519 17372692 19162272 26059038 34745384 52118076 69490768 104236152 125952017 138981536 208472304 251904034 377856051 416944608 503808068 755712102 1007616136 1511424204 2015232272 3022848408 4030464544 6045696816 12091393632