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11556144054 = 23271329673631
BaseRepresentation
bin10101100001100110…
…01100001110110110
31002211100220221110100
422300303030032312
5142131333102204
65150412134530
7556241414040
oct126063141666
932740827410
1011556144054
1149a0162084
1222a6167446
131122209580
147b8abca90
154797e7a39
hex2b0ccc3b6

11556144054 has 192 divisors, whose sum is σ = 32363735040. Its totient is φ = 2897959680.

The previous prime is 11556144049. The next prime is 11556144059. The reversal of 11556144054 is 45044165511.

11556144054 is a `hidden beast` number, since 1 + 1 + 5 + 561 + 4 + 40 + 54 = 666.

11556144054 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11556144049) and next prime (11556144059).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11556144059) 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 95 ways as a sum of consecutive naturals, for example, 3180819 + ... + 3184449.

It is an arithmetic number, because the mean of its divisors is an integer number (168561120).

Almost surely, 211556144054 is an apocalyptic number.

11556144054 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11556144054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16181867520).

11556144054 is an abundant number, since it is smaller than the sum of its proper divisors (20807590986).

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

11556144054 is a wasteful number, since it uses less digits than its factorization.

11556144054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3755 (or 3752 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 11556144054 in words is "eleven billion, five hundred fifty-six million, one hundred forty-four thousand, fifty-four".