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10830560376 = 2333719796163
BaseRepresentation
bin10100001011000110…
…10011110001111000
31000221210121110202210
422011203103301320
5134140110413001
64550412255120
7532251146526
oct120543236170
930853543683
1010830560376
114658629349
1221231714a0
131037ab040c
1474a5a5316
15435c6edd6
hex2858d3c78

10830560376 has 64 divisors (see below), whose sum is σ = 27826761600. Its totient is φ = 3510269568.

The previous prime is 10830560359. The next prime is 10830560387. The reversal of 10830560376 is 67306503801.

It is a super-2 number, since 2×108305603762 (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 15 ways as a sum of consecutive naturals, for example, 1754271 + ... + 1760433.

It is an arithmetic number, because the mean of its divisors is an integer number (434793150).

Almost surely, 210830560376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10830560376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13913380800).

10830560376 is an abundant number, since it is smaller than the sum of its proper divisors (16996201224).

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

10830560376 is a wasteful number, since it uses less digits than its factorization.

10830560376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8188 (or 8184 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The spelling of 10830560376 in words is "ten billion, eight hundred thirty million, five hundred sixty thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 296 444 888 1979 3958 5937 6163 7916 11874 12326 15832 18489 23748 24652 36978 47496 49304 73223 73956 146446 147912 219669 228031 292892 439338 456062 585784 684093 878676 912124 1368186 1757352 1824248 2736372 5472744 12196577 24393154 36589731 48786308 73179462 97572616 146358924 292717848 451273349 902546698 1353820047 1805093396 2707640094 3610186792 5415280188 10830560376