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10269321696 = 253361271719
BaseRepresentation
bin10011001000001100…
…10110100111100000
3222111200112121001000
421210012112213200
5132012421243241
64415003112000
7512324536254
oct114406264740
928450477030
1010269321696
11439a845427
121ba7212600
13c7873661a
146d5c2c264
1540185beb6
hex2641969e0

10269321696 has 192 divisors, whose sum is σ = 30598041600. Its totient is φ = 3349900800.

The previous prime is 10269321691. The next prime is 10269321707. The reversal of 10269321696 is 69612396201.

10269321696 is a `hidden beast` number, since 1 + 0 + 269 + 321 + 69 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10269321691) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14282425 + ... + 14283143.

It is an arithmetic number, because the mean of its divisors is an integer number (159364800).

Almost surely, 210269321696 is an apocalyptic number.

10269321696 is a gapful number since it is divisible by the number (16) 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 10269321696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15299020800).

10269321696 is an abundant number, since it is smaller than the sum of its proper divisors (20328719904).

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

10269321696 is a wasteful number, since it uses less digits than its factorization.

10269321696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1070 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 10269321696 in words is "ten billion, two hundred sixty-nine million, three hundred twenty-one thousand, six hundred ninety-six".