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11064272310 = 23257133143579
BaseRepresentation
bin10100100110111101…
…10110010110110110
31001120002101021021100
422103132312112312
5140124423203220
65025521430530
7541116522450
oct122336662666
931502337240
1011064272310
114768547603
12218949b446
13107433c0c0
1476d6412d0
1544b537d90
hex2937b65b6

11064272310 has 192 divisors, whose sum is σ = 36548628480. Its totient is φ = 2259083520.

The previous prime is 11064272281. The next prime is 11064272321. The reversal of 11064272310 is 1327246011.

11064272310 is a `hidden beast` number, since 1 + 1 + 0 + 6 + 427 + 231 + 0 = 666.

It is a super-2 number, since 2×110642723102 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 232101 + ... + 275679.

It is an arithmetic number, because the mean of its divisors is an integer number (190357440).

Almost surely, 211064272310 is an apocalyptic number.

11064272310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11064272310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18274314240).

11064272310 is an abundant number, since it is smaller than the sum of its proper divisors (25484356170).

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

11064272310 is a wasteful number, since it uses less digits than its factorization.

11064272310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43643 (or 43640 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 11064272310 in words is "eleven billion, sixty-four million, two hundred seventy-two thousand, three hundred ten".