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10273592052 = 2232285377557
BaseRepresentation
bin10011001000101101…
…01001001011110100
3222111222120112212100
421210112221023310
5132020014421202
64415234422100
7512406043263
oct114426511364
928458515770
1010273592052
1143a21a1849
121ba8731930
13c795a0269
146d66205da
15401e0241c
hex2645a92f4

10273592052 has 18 divisors (see below), whose sum is σ = 25969357778. Its totient is φ = 3424530672.

The previous prime is 10273592047. The next prime is 10273592057. The reversal of 10273592052 is 25029537201.

10273592052 is a `hidden beast` number, since 10 + 2 + 7 + 3 + 592 + 0 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (10273592047) and next prime (10273592057).

It can be written as a sum of positive squares in only one way, i.e., 10210294116 + 63297936 = 101046^2 + 7956^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-3 number, since 3×102735920523 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 285377557 = 10273592052 / (1 + 0 + 2 + 7 + 3 + 5 + 9 + 2 + 0 + 5 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 10273591998 and 10273592016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10273592057) 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, 142688743 + ... + 142688814.

Almost surely, 210273592052 is an apocalyptic number.

10273592052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10273592052 is an abundant number, since it is smaller than the sum of its proper divisors (15695765726).

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

10273592052 is a wasteful number, since it uses less digits than its factorization.

10273592052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285377567 (or 285377562 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 10273592052 in words is "ten billion, two hundred seventy-three million, five hundred ninety-two thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 285377557 570755114 856132671 1141510228 1712265342 2568398013 3424530684 5136796026 10273592052