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23801514381 = 3241531217033
BaseRepresentation
bin10110001010101011…
…100100100110001101
32021102202202012121200
4112022223210212031
5342221141430011
614533445020113
71501552351131
oct261253444615
967382665550
1023801514381
11a104375047
1247430b4639
132324152428
14121b12d3c1
15944885856
hex58aae498d

23801514381 has 24 divisors (see below), whose sum is σ = 35883030456. Its totient is φ = 15188559360.

The previous prime is 23801514367. The next prime is 23801514383. The reversal of 23801514381 is 18341510832.

It can be written as a sum of positive squares in 4 ways, for example, as 3515625 + 23797998756 = 1875^2 + 154266^2 .

It is not a de Polignac number, because 23801514381 - 25 = 23801514349 is a prime.

It is a super-2 number, since 2×238015143812 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23801514383) 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 23 ways as a sum of consecutive naturals, for example, 588960 + ... + 628073.

It is an arithmetic number, because the mean of its divisors is an integer number (1495126269).

Almost surely, 223801514381 is an apocalyptic number.

It is an amenable number.

23801514381 is a deficient number, since it is larger than the sum of its proper divisors (12081516075).

23801514381 is a wasteful number, since it uses less digits than its factorization.

23801514381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1217133 (or 1217130 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 23801514381 in words is "twenty-three billion, eight hundred one million, five hundred fourteen thousand, three hundred eighty-one".

Divisors: 1 3 9 41 53 123 159 369 477 2173 6519 19557 1217033 3651099 10953297 49898353 64502749 149695059 193508247 449085177 580524741 2644612709 7933838127 23801514381