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11142650256 = 2437116212017
BaseRepresentation
bin10100110000010011…
…10101100110010000
31001202112212021121020
422120021311212100
5140310004302011
65041401355440
7543060651543
oct123011654620
931675767536
1011142650256
1147a8810071
1221ab798b80
13108765209a
14779c0485a
1545336b006
hex298275990

11142650256 has 80 divisors (see below), whose sum is σ = 29223093888. Its totient is φ = 3657830400.

The previous prime is 11142650249. The next prime is 11142650287. The reversal of 11142650256 is 65205624111.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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, 5523360 + ... + 5525376.

Almost surely, 211142650256 is an apocalyptic number.

11142650256 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 11142650256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14611546944).

11142650256 is an abundant number, since it is smaller than the sum of its proper divisors (18080443632).

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

11142650256 is a wasteful number, since it uses less digits than its factorization.

11142650256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3720 (or 3714 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The spelling of 11142650256 in words is "eleven billion, one hundred forty-two million, six hundred fifty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 71 142 213 284 426 568 852 1136 1621 1704 2017 3242 3408 4034 4863 6051 6484 8068 9726 12102 12968 16136 19452 24204 25936 32272 38904 48408 77808 96816 115091 143207 230182 286414 345273 429621 460364 572828 690546 859242 920728 1145656 1381092 1718484 1841456 2291312 2762184 3269557 3436968 5524368 6539114 6873936 9808671 13078228 19617342 26156456 39234684 52312912 78469368 156938736 232138547 464277094 696415641 928554188 1392831282 1857108376 2785662564 3714216752 5571325128 11142650256