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10826855552 = 271725412
BaseRepresentation
bin10100001010101010…
…01011010010000000
31000221112122020201002
422011111023102000
5134133133334202
64550201031132
7532204516352
oct120525132200
930845566632
1010826855552
114656528907
122121a854a8
1310370b4006
14749cbd0d2
1543578c302
hex28554b480

10826855552 has 72 divisors (see below), whose sum is σ = 22954962555. Its totient is φ = 5085573120.

The previous prime is 10826855549. The next prime is 10826855561. The reversal of 10826855552 is 25555862801.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 7441477696 + 3385377856 = 86264^2 + 58184^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=73576.

It is a super-2 number, since 2×108268555522 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10826855497 and 10826855506.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 20012402 + ... + 20012942.

Almost surely, 210826855552 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 10826855552

10826855552 is an abundant number, since it is smaller than the sum of its proper divisors (12128107003).

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

10826855552 is an frugal number, since it uses more digits than its factorization.

10826855552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 960000, while the sum is 47.

The spelling of 10826855552 in words is "ten billion, eight hundred twenty-six million, eight hundred fifty-five thousand, five hundred fifty-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 289 541 544 578 1082 1088 1156 2164 2176 2312 4328 4624 8656 9197 9248 17312 18394 18496 34624 36788 36992 69248 73576 147152 156349 292681 294304 312698 585362 588608 625396 1170724 1177216 1250792 2341448 2501584 4682896 4975577 5003168 9365792 9951154 10006336 18731584 19902308 20012672 37463168 39804616 79609232 84584809 159218464 169169618 318436928 338339236 636873856 676678472 1353356944 2706713888 5413427776 10826855552