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10655249472 = 2632710325657
BaseRepresentation
bin10011110110001101…
…00011010001000000
31000111120201202102100
421323012203101000
5133310220440342
64521150550400
7525022061160
oct117306432100
930446652370
1010655249472
1145786796aa
122094508400
13100a68b95a
147311ac5a0
15425690e4c
hex27b1a3440

10655249472 has 168 divisors, whose sum is σ = 35244649856. Its totient is φ = 3014682624.

The previous prime is 10655249461. The next prime is 10655249483. The reversal of 10655249472 is 27494255601.

10655249472 is a `hidden beast` number, since 1 + 0 + 6 + 552 + 4 + 94 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (10655249461) and next prime (10655249483).

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×106552494722 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 402468 + ... + 428124.

Almost surely, 210655249472 is an apocalyptic number.

10655249472 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 10655249472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17622324928).

10655249472 is an abundant number, since it is smaller than the sum of its proper divisors (24589400384).

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

10655249472 is a wasteful number, since it uses less digits than its factorization.

10655249472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25785 (or 25772 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 10655249472 in words is "ten billion, six hundred fifty-five million, two hundred forty-nine thousand, four hundred seventy-two".