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11697363552 = 2537233732029
BaseRepresentation
bin10101110010011011…
…11001101001100000
31010012012122122012010
422321031321221200
5142424011113202
65212415032520
7562604643510
oct127115715140
933165578163
1011697363552
114a62947406
12232550b740
1311455529c4
147cd75d840
15486de076c
hex2b9379a60

11697363552 has 192 divisors, whose sum is σ = 36734100480. Its totient is φ = 3186653184.

The previous prime is 11697363551. The next prime is 11697363571. The reversal of 11697363552 is 25536379611.

11697363552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11697363551) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 5764074 + ... + 5766102.

It is an arithmetic number, because the mean of its divisors is an integer number (191323440).

Almost surely, 211697363552 is an apocalyptic number.

11697363552 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 11697363552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18367050240).

11697363552 is an abundant number, since it is smaller than the sum of its proper divisors (25036736928).

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

11697363552 is a wasteful number, since it uses less digits than its factorization.

11697363552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2445 (or 2437 counting only the distinct ones).

The product of its digits is 1020600, while the sum is 48.

The spelling of 11697363552 in words is "eleven billion, six hundred ninety-seven million, three hundred sixty-three thousand, five hundred fifty-two".