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10253464431 = 37292797349
BaseRepresentation
bin10011000110010011…
…10111001101101111
3222110120200221221220
421203021313031233
5131444341330211
64413235154423
7512043003210
oct114311671557
928416627856
1010253464431
1143918a4651
121ba1a45a13
13c75373a22
146d3aa1407
15400278806
hex26327736f

10253464431 has 48 divisors (see below), whose sum is σ = 16388736000. Its totient is φ = 5584715136.

The previous prime is 10253464369. The next prime is 10253464433. The reversal of 10253464431 is 13446435201.

It is a happy number.

It is not a de Polignac number, because 10253464431 - 211 = 10253462383 is a prime.

It is a super-2 number, since 2×102534644312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10253464392 and 10253464401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10253464433) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1391545 + ... + 1398893.

It is an arithmetic number, because the mean of its divisors is an integer number (341432000).

Almost surely, 210253464431 is an apocalyptic number.

10253464431 is a deficient number, since it is larger than the sum of its proper divisors (6135271569).

10253464431 is an equidigital number, since it uses as much as digits as its factorization.

10253464431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7496 (or 7467 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

Adding to 10253464431 its reverse (13446435201), we get a palindrome (23699899632).

The spelling of 10253464431 in words is "ten billion, two hundred fifty-three million, four hundred sixty-four thousand, four hundred thirty-one".

Divisors: 1 3 7 21 29 79 87 203 237 553 609 841 1659 2291 2523 5887 6873 7349 16037 17661 22047 48111 51443 66439 154329 199317 213121 465073 580571 639363 1395219 1491847 1741713 4063997 4475541 6180509 12191991 16836559 18541527 43263563 50509677 117855913 129790689 353567739 488260211 1464780633 3417821477 10253464431