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11613296496 = 24317129710973
BaseRepresentation
bin10101101000011010…
…01101011101110000
31002222100110120212110
422310031031131300
5142241000441441
65200213125320
7560534251164
oct126415153560
932870416773
1011613296496
114a1a4485aa
122301329840
131130cca399
147c2518ca4
1547e836b16
hex2b434d770

11613296496 has 80 divisors (see below), whose sum is σ = 31793170464. Its totient is φ = 3640246272.

The previous prime is 11613296491. The next prime is 11613296503. The reversal of 11613296496 is 69469231611.

It is a happy number.

11613296496 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 (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11613296491) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1052866 + ... + 1063838.

Almost surely, 211613296496 is an apocalyptic number.

11613296496 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 11613296496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15896585232).

11613296496 is an abundant number, since it is smaller than the sum of its proper divisors (20179873968).

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

11613296496 is a wasteful number, since it uses less digits than its factorization.

11613296496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12298 (or 12292 counting only the distinct ones).

The product of its digits is 419904, while the sum is 48.

The spelling of 11613296496 in words is "eleven billion, six hundred thirteen million, two hundred ninety-six thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 816 1297 2594 3891 5188 7782 10376 10973 15564 20752 21946 22049 31128 32919 43892 44098 62256 65838 66147 87784 88196 131676 132294 175568 176392 186541 263352 264588 352784 373082 526704 529176 559623 746164 1058352 1119246 1492328 2238492 2984656 4476984 8953968 14231981 28463962 42695943 56927924 85391886 113855848 170783772 227711696 241943677 341567544 483887354 683135088 725831031 967774708 1451662062 1935549416 2903324124 3871098832 5806648248 11613296496