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11851342272 = 2632721159647
BaseRepresentation
bin10110000100110010…
…10010000111000000
31010120221101120021200
423002121102013000
5143232420423042
65235555221200
7566454514200
oct130231220700
933527346250
1011851342272
115031856950
122368ba7800
13116b415883
14805da2400
154956a8c4c
hex2c26521c0

11851342272 has 504 divisors, whose sum is σ = 43906561920. Its totient is φ = 3021419520.

The previous prime is 11851342271. The next prime is 11851342291. The reversal of 11851342272 is 27224315811.

11851342272 is a `hidden beast` number, since 118 + 51 + 3 + 422 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11851342271) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18317053 + ... + 18317699.

Almost surely, 211851342272 is an apocalyptic number.

11851342272 is a gapful number since it is divisible by the number (12) 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 11851342272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21953280960).

11851342272 is an abundant number, since it is smaller than the sum of its proper divisors (32055219648).

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

11851342272 is a wasteful number, since it uses less digits than its factorization.

11851342272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749 (or 729 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The spelling of 11851342272 in words is "eleven billion, eight hundred fifty-one million, three hundred forty-two thousand, two hundred seventy-two".