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10512115376 = 2471731241739
BaseRepresentation
bin10011100101001001…
…00010011010110000
31000010121101210100112
421302210202122300
5133012100143001
64455035040452
7521333335460
oct116244423260
930117353315
1010512115376
1145048a6964
1220545a0128
13cb6b24c19
1471a18dba0
15417d1acbb
hex2729226b0

10512115376 has 160 divisors (see below), whose sum is σ = 25581219840. Its totient is φ = 4080844800.

The previous prime is 10512115349. The next prime is 10512115409. The reversal of 10512115376 is 67351121501.

It is a super-2 number, since 2×105121153762 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14224415 + ... + 14225153.

It is an arithmetic number, because the mean of its divisors is an integer number (159882624).

Almost surely, 210512115376 is an apocalyptic number.

10512115376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10512115376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12790609920).

10512115376 is an abundant number, since it is smaller than the sum of its proper divisors (15069104464).

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

10512115376 is a wasteful number, since it uses less digits than its factorization.

10512115376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1043 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 32.

Adding to 10512115376 its reverse (67351121501), we get a palindrome (77863236877).

The spelling of 10512115376 in words is "ten billion, five hundred twelve million, one hundred fifteen thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 17 28 31 34 56 62 68 112 119 124 136 217 238 241 248 272 434 476 482 496 527 739 868 952 964 1054 1478 1687 1736 1904 1928 2108 2956 3374 3472 3689 3856 4097 4216 5173 5912 6748 7378 7471 8194 8432 10346 11824 12563 13496 14756 14942 16388 20692 22909 25126 26992 28679 29512 29884 32776 41384 45818 50252 52297 57358 59024 59768 65552 82768 87941 91636 100504 104594 114716 119536 127007 160363 175882 178099 183272 201008 209188 229432 254014 320726 351764 356198 366544 389453 418376 458864 508028 641452 703528 712396 778906 836752 889049 1016056 1246693 1282904 1407056 1424792 1557812 1778098 2032112 2493386 2565808 2726171 2849584 3027683 3115624 3556196 4986772 5452342 5521069 6055366 6231248 7112392 9973544 10904684 11042138 12110732 14224784 19947088 21193781 21809368 22084276 24221464 38647483 42387562 43618736 44168552 48442928 77294966 84775124 88337104 93858173 154589932 169550248 187716346 309179864 339100496 375432692 618359728 657007211 750865384 1314014422 1501730768 2628028844 5256057688 10512115376