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11444961024 = 28327739721
BaseRepresentation
bin10101010100010110…
…00011111100000000
31002112121201021000100
422222023003330000
5141414402223044
65131401122400
7553421364210
oct125213037400
932477637010
1011444961024
114943422682
122274a89400
13110517b8b3
147a801a240
1546eb84869
hex2aa2c3f00

11444961024 has 216 divisors, whose sum is σ = 38233281632. Its totient is φ = 3224862720.

The previous prime is 11444961007. The next prime is 11444961029. The reversal of 11444961024 is 42016944411.

It is a happy number.

11444961024 is a `hidden beast` number, since 1 + 14 + 4 + 4 + 9 + 610 + 24 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11444961024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11444961029) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1172484 + ... + 1182204.

Almost surely, 211444961024 is an apocalyptic number.

11444961024 is a gapful number since it is divisible by the number (14) 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 11444961024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19116640816).

11444961024 is an abundant number, since it is smaller than the sum of its proper divisors (26788320608).

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

11444961024 is an equidigital number, since it uses as much as digits as its factorization.

11444961024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9823 (or 9806 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 11444961024 in words is "eleven billion, four hundred forty-four million, nine hundred sixty-one thousand, twenty-four".