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10663334352 = 2432116731903
BaseRepresentation
bin10011110111001010…
…11001000111010000
31000112010221111210100
421323211121013100
5133314303144402
64522040132400
7525150563226
oct117345310720
930463844710
1010663334352
1145821a0a20
122097167100
13100c25c8c8
147322b4b16
1542623b71c
hex27b9591d0

10663334352 has 60 divisors (see below), whose sum is σ = 32555487744. Its totient is φ = 3231312960.

The previous prime is 10663334333. The next prime is 10663334449. The reversal of 10663334352 is 25343336601.

10663334352 is a `hidden beast` number, since 10 + 6 + 633 + 3 + 4 + 3 + 5 + 2 = 666.

10663334352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106633343522 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 3364368 + ... + 3367535.

Almost surely, 210663334352 is an apocalyptic number.

10663334352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10663334352 is an abundant number, since it is smaller than the sum of its proper divisors (21892153392).

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

10663334352 is a wasteful number, since it uses less digits than its factorization.

10663334352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6731928 (or 6731919 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 36.

The spelling of 10663334352 in words is "ten billion, six hundred sixty-three million, three hundred thirty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 6731903 13463806 20195709 26927612 40391418 53855224 60587127 74050933 80782836 107710448 121174254 148101866 161565672 222152799 242348508 296203732 323131344 444305598 484697016 592407464 666458397 888611196 969394032 1184814928 1332916794 1777222392 2665833588 3554444784 5331667176 10663334352