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10249137264 = 2431731234241
BaseRepresentation
bin10011000101110010…
…10110110001110000
3222110021120010012110
421202321112301300
5131442234343024
64413002325320
7511661141442
oct114271266160
928407503173
1010249137264
11438a409583
121ba04b9840
13c744ba282
146d3296492
153eebc1629
hex262e56c70

10249137264 has 40 divisors (see below), whose sum is σ = 26630005392. Its totient is φ = 3396628480.

The previous prime is 10249137257. The next prime is 10249137271. The reversal of 10249137264 is 46273194201.

It is an interprime number because it is at equal distance from previous prime (10249137257) and next prime (10249137271).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 608817 + ... + 625424.

Almost surely, 210249137264 is an apocalyptic number.

It is an amenable number.

10249137264 is an abundant number, since it is smaller than the sum of its proper divisors (16380868128).

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

10249137264 is a wasteful number, since it uses less digits than its factorization.

10249137264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1234425 (or 1234419 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 10249137264 in words is "ten billion, two hundred forty-nine million, one hundred thirty-seven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 173 346 519 692 1038 1384 2076 2768 4152 8304 1234241 2468482 3702723 4936964 7405446 9873928 14810892 19747856 29621784 59243568 213523693 427047386 640571079 854094772 1281142158 1708189544 2562284316 3416379088 5124568632 10249137264