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10280997760 = 275111460369
BaseRepresentation
bin10011001001100101…
…11001001110000000
3222112111111210120211
421210302321032000
5132023413412020
64420101243504
7512526016255
oct114462711600
928474453524
1010280997760
1143a639a870
121bab103594
13c7ac94037
146d75cb42c
154028b685a
hex264cb9380

10280997760 has 64 divisors (see below), whose sum is σ = 26812393200. Its totient is φ = 3738542080.

The previous prime is 10280997743. The next prime is 10280997773. The reversal of 10280997760 is 6779908201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×102809977602 (a number of 21 digits) contains 22 as substring.

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, 723145 + ... + 737224.

Almost surely, 210280997760 is an apocalyptic number.

10280997760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10280997760 is an abundant number, since it is smaller than the sum of its proper divisors (16531395440).

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

10280997760 is a wasteful number, since it uses less digits than its factorization.

10280997760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1460399 (or 1460387 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 49.

The spelling of 10280997760 in words is "ten billion, two hundred eighty million, nine hundred ninety-seven thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 440 640 704 880 1408 1760 3520 7040 1460369 2920738 5841476 7301845 11682952 14603690 16064059 23365904 29207380 32128118 46731808 58414760 64256236 80320295 93463616 116829520 128512472 160640590 186927232 233659040 257024944 321281180 467318080 514049888 642562360 934636160 1028099776 1285124720 2056199552 2570249440 5140498880 10280997760