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11451516144 = 2431912556487
BaseRepresentation
bin10101010101001000…
…00100010011110000
31002120002001021221120
422222210010103300
5141423042004034
65132153422240
7553531165305
oct125244042360
932502037846
1011451516144
11494709a632
12227710a980
131106635473
147a8c450ac
1547052bc49
hex2aa9044f0

11451516144 has 40 divisors (see below), whose sum is σ = 31140090240. Its totient is φ = 3616267968.

The previous prime is 11451516127. The next prime is 11451516173. The reversal of 11451516144 is 44161515411.

It is a happy number.

It is a super-2 number, since 2×114515161442 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 6277332 + ... + 6279155.

It is an arithmetic number, because the mean of its divisors is an integer number (778502256).

Almost surely, 211451516144 is an apocalyptic number.

It is an amenable number.

11451516144 is an abundant number, since it is smaller than the sum of its proper divisors (19688574096).

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

11451516144 is a wasteful number, since it uses less digits than its factorization.

11451516144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12556517 (or 12556511 counting only the distinct ones).

The product of its digits is 9600, while the sum is 33.

The spelling of 11451516144 in words is "eleven billion, four hundred fifty-one million, five hundred sixteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 12556487 25112974 37669461 50225948 75338922 100451896 150677844 200903792 238573253 301355688 477146506 602711376 715719759 954293012 1431439518 1908586024 2862879036 3817172048 5725758072 11451516144