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12103272496 = 247295370309
BaseRepresentation
bin10110100010110100…
…10100100000110000
31011020111102221120201
423101122110200300
5144241414204441
65320555044544
7605634055510
oct132132244060
934214387521
1012103272496
115150a88847
122419440754
1311ab682a03
1482b621840
154ac86ec31
hex2d1694830

12103272496 has 80 divisors (see below), whose sum is σ = 28247745600. Its totient is φ = 4913685504.

The previous prime is 12103272463. The next prime is 12103272527. The reversal of 12103272496 is 69427230121.

It is a super-2 number, since 2×121032724962 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136990 + ... + 207298.

It is an arithmetic number, because the mean of its divisors is an integer number (353096820).

Almost surely, 212103272496 is an apocalyptic number.

12103272496 is a gapful number since it is divisible by the number (16) 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 12103272496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14123872800).

12103272496 is an abundant number, since it is smaller than the sum of its proper divisors (16144473104).

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

12103272496 is a wasteful number, since it uses less digits than its factorization.

12103272496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70406 (or 70400 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The spelling of 12103272496 in words is "twelve billion, one hundred three million, two hundred seventy-two thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 29 53 56 58 106 112 116 203 212 232 371 406 424 464 742 812 848 1484 1537 1624 2968 3074 3248 5936 6148 10759 12296 21518 24592 43036 70309 86072 140618 172144 281236 492163 562472 984326 1124944 1968652 2038961 3726377 3937304 4077922 7452754 7874608 8155844 14272727 14905508 16311688 26084639 28545454 29811016 32623376 52169278 57090908 59622032 104338556 108064933 114181816 208677112 216129866 228363632 417354224 432259732 756454531 864519464 1512909062 1729038928 3025818124 6051636248 12103272496