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10270052292 = 22319359125471
BaseRepresentation
bin10011001000010010…
…01000111111000100
3222111201220201020010
421210021020333010
5132013113133132
64415030510220
7512334001263
oct114411107704
928451821203
1010270052292
1143a01a4325
121ba7505370
13c78931026
146d5d7c5da
154019536cc
hex264248fc4

10270052292 has 48 divisors (see below), whose sum is σ = 25295155200. Its totient is φ = 3234114720.

The previous prime is 10270052201. The next prime is 10270052323. The reversal of 10270052292 is 29225007201.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19117 + ... + 144587.

It is an arithmetic number, because the mean of its divisors is an integer number (526982400).

Almost surely, 210270052292 is an apocalyptic number.

10270052292 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 10270052292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12647577600).

10270052292 is an abundant number, since it is smaller than the sum of its proper divisors (15025102908).

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

10270052292 is a wasteful number, since it uses less digits than its factorization.

10270052292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125856 (or 125854 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

Adding to 10270052292 its reverse (29225007201), we get a palindrome (39495059493).

The spelling of 10270052292 in words is "ten billion, two hundred seventy million, fifty-two thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 359 718 1077 1436 2154 4308 6821 13642 20463 27284 40926 81852 125471 250942 376413 501884 752826 1505652 2383949 4767898 7151847 9535796 14303694 28607388 45044089 90088178 135132267 180176356 270264534 540529068 855837691 1711675382 2567513073 3423350764 5135026146 10270052292