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10023148272 = 243389536801
BaseRepresentation
bin10010101010110110…
…10001101011110000
3221212112022200120210
421111123101223300
5131011411221042
64334330504120
7503245232424
oct112533215360
927775280523
1010023148272
114283895715
121b38895040
13c39733887
146b126ab84
153d9e31a9c
hex2556d1af0

10023148272 has 40 divisors (see below), whose sum is σ = 25959744720. Its totient is φ = 3332454400.

The previous prime is 10023148259. The next prime is 10023148279. The reversal of 10023148272 is 27284132001.

10023148272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10023148279) 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 7 ways as a sum of consecutive naturals, for example, 249729 + ... + 287072.

It is an arithmetic number, because the mean of its divisors is an integer number (648993618).

Almost surely, 210023148272 is an apocalyptic number.

10023148272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10023148272 is an abundant number, since it is smaller than the sum of its proper divisors (15936596448).

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

10023148272 is a wasteful number, since it uses less digits than its factorization.

10023148272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537201 (or 537195 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The spelling of 10023148272 in words is "ten billion, twenty-three million, one hundred forty-eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 389 778 1167 1556 2334 3112 4668 6224 9336 18672 536801 1073602 1610403 2147204 3220806 4294408 6441612 8588816 12883224 25766448 208815589 417631178 626446767 835262356 1252893534 1670524712 2505787068 3341049424 5011574136 10023148272