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10525990272 = 273721929443
BaseRepresentation
bin10011100110110010…
…11101110110000000
31000011120111201010120
421303121131312000
5133024123142042
64500252300240
7521562304200
oct116331356600
930146451116
1010525990272
114511713316
122059171680
13cb9972415
1471bd62400
1541915bdec
hex27365dd80

10525990272 has 192 divisors, whose sum is σ = 34237483200. Its totient is φ = 2849043456.

The previous prime is 10525990271. The next prime is 10525990309. The reversal of 10525990272 is 27209952501.

10525990272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×105259902722 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10525990271) 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 23 ways as a sum of consecutive naturals, for example, 342783 + ... + 372225.

It is an arithmetic number, because the mean of its divisors is an integer number (178320225).

Almost surely, 210525990272 is an apocalyptic number.

10525990272 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 10525990272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17118741600).

10525990272 is an abundant number, since it is smaller than the sum of its proper divisors (23711492928).

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

10525990272 is a wasteful number, since it uses less digits than its factorization.

10525990272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29493 (or 29474 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 42.

The spelling of 10525990272 in words is "ten billion, five hundred twenty-five million, nine hundred ninety thousand, two hundred seventy-two".