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10293739272 = 2332142968601
BaseRepresentation
bin10011001011000110…
…11111111100001000
3222120101111010122200
421211203133330020
5132040144124042
64421234320200
7513042224445
oct114543377410
928511433580
1010293739272
114402602743
121bb3429060
13c808056ab
146d91869cc
15403a81c4c
hex2658dff08

10293739272 has 24 divisors (see below), whose sum is σ = 27878877390. Its totient is φ = 3431246400.

The previous prime is 10293739249. The next prime is 10293739273. The reversal of 10293739272 is 27293739201.

It is a happy number.

10293739272 is a `hidden beast` number, since 1 + 0 + 2 + 9 + 373 + 9 + 272 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10065306276 + 228432996 = 100326^2 + 15114^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×102937392722 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10293739273) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 71484229 + ... + 71484372.

Almost surely, 210293739272 is an apocalyptic number.

10293739272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10293739272 is an abundant number, since it is smaller than the sum of its proper divisors (17585138118).

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

10293739272 is a wasteful number, since it uses less digits than its factorization.

10293739272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142968613 (or 142968606 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The spelling of 10293739272 in words is "ten billion, two hundred ninety-three million, seven hundred thirty-nine thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 142968601 285937202 428905803 571874404 857811606 1143748808 1286717409 1715623212 2573434818 3431246424 5146869636 10293739272