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10875152656 = 24294312
BaseRepresentation
bin10100010000011010…
…11010100100010000
31001001220111222212201
422020031122210100
5134233014341111
64555044132544
7533332162264
oct121015324420
931056458781
1010875152656
114680816175
122136097154
1310440c4294
147524920a4
15439b2c6c1
hex28835a910

10875152656 has 75 divisors (see below), whose sum is σ = 22549809603. Its totient is φ = 5080716480.

The previous prime is 10875152653. The next prime is 10875152663. The reversal of 10875152656 is 65625157801.

The square root of 10875152656 is 104284.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 25847056 + 10849305600 = 5084^2 + 104160^2 .

It is not an unprimeable number, because it can be changed into a prime (10875152653) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 350811361 + ... + 350811391.

Almost surely, 210875152656 is an apocalyptic number.

10875152656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10875152656 is the 104284-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10875152656

10875152656 is an abundant number, since it is smaller than the sum of its proper divisors (11674656947).

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

10875152656 is an frugal number, since it uses more digits than its factorization.

10875152656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 46.

The spelling of 10875152656 in words is "ten billion, eight hundred seventy-five million, one hundred fifty-two thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 29 31 58 62 116 124 232 248 464 496 841 899 961 1682 1798 1922 3364 3596 3844 6728 7192 7688 13456 14384 15376 24389 26071 27869 48778 52142 55738 97556 104284 111476 195112 208568 222952 390224 417136 445904 707281 756059 808201 1414562 1512118 1616402 2829124 3024236 3232804 5658248 6048472 6465608 11316496 12096944 12931216 21925711 23437829 43851422 46875658 87702844 93751316 175405688 187502632 350811376 375005264 679697041 1359394082 2718788164 5437576328 10875152656