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10516105344 = 273171610923
BaseRepresentation
bin10011100101100111…
…10000100010000000
31000010212220111120010
421302303300202000
5133014110332334
64455300344520
7521412264153
oct116263604200
930125814503
1010516105344
114507081658
1220559a5140
13cb78c1054
1471a90bc9a
154183580e9
hex272cf0880

10516105344 has 64 divisors (see below), whose sum is σ = 29576564640. Its totient is φ = 3299168256.

The previous prime is 10516105339. The next prime is 10516105363. The reversal of 10516105344 is 44350161501.

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 2×105161053442 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 798934 + ... + 811989.

Almost surely, 210516105344 is an apocalyptic number.

It is an amenable number.

10516105344 is an abundant number, since it is smaller than the sum of its proper divisors (19060459296).

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

10516105344 is a wasteful number, since it uses less digits than its factorization.

10516105344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1610957 (or 1610945 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 10516105344 its reverse (44350161501), we get a palindrome (54866266845).

The spelling of 10516105344 in words is "ten billion, five hundred sixteen million, one hundred five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 272 384 408 544 816 1088 1632 2176 3264 6528 1610923 3221846 4832769 6443692 9665538 12887384 19331076 25774768 27385691 38662152 51549536 54771382 77324304 82157073 103099072 109542764 154648608 164314146 206198144 219085528 309297216 328628292 438171056 618594432 657256584 876342112 1314513168 1752684224 2629026336 3505368448 5258052672 10516105344