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10269422352 = 243472237989
BaseRepresentation
bin10011001000001101…
…01111001100010000
3222111200201201010000
421210012233030100
5132012433003402
64415005210000
7512325435600
oct114406571420
928450651100
1010269422352
11439a904012
121ba7260900
13c78770397
146d5c56c00
1540187bc1c
hex2641af310

10269422352 has 600 divisors, whose sum is σ = 36945849600. Its totient is φ = 2739889152.

The previous prime is 10269422327. The next prime is 10269422353. The reversal of 10269422352 is 25322496201.

10269422352 is a `hidden beast` number, since 1 + 0 + 269 + 42 + 2 + 352 = 666.

It is a super-2 number, since 2×102694223522 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10269422353) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 115386724 + ... + 115386812.

It is an arithmetic number, because the mean of its divisors is an integer number (61576416).

Almost surely, 210269422352 is an apocalyptic number.

10269422352 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 10269422352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18472924800).

10269422352 is an abundant number, since it is smaller than the sum of its proper divisors (26676427248).

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

10269422352 is a wasteful number, since it uses less digits than its factorization.

10269422352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 10269422352 in words is "ten billion, two hundred sixty-nine million, four hundred twenty-two thousand, three hundred fifty-two".