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10689904368 = 2436111321729
BaseRepresentation
bin10011111010010101…
…01111111011110000
31000120222221102000000
421331022233323300
5133343103414433
64524425430000
7525622454643
oct117512577360
930528842000
1010689904368
114596199410
1220a403b300
131014903600
14735a2da5a
15428739113
hex27d2afef0

10689904368 has 840 divisors, whose sum is σ = 40179816720. Its totient is φ = 2717245440.

The previous prime is 10689904367. The next prime is 10689904399. The reversal of 10689904368 is 86340998601.

It is a super-2 number, since 2×106899043682 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10689904367) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 368617378 + ... + 368617406.

Almost surely, 210689904368 is an apocalyptic number.

10689904368 is a gapful number since it is divisible by the number (18) 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 10689904368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20089908360).

10689904368 is an abundant number, since it is smaller than the sum of its proper divisors (29489912352).

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

10689904368 is a wasteful number, since it uses less digits than its factorization.

10689904368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 10689904368 in words is "ten billion, six hundred eighty-nine million, nine hundred four thousand, three hundred sixty-eight".