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10687825926 = 23219213911833
BaseRepresentation
bin10011111010000101…
…10100100000000110
31000120212000210220200
421331002310200012
5133342040412201
64524313111330
7525566010231
oct117502644006
930525023820
1010687825926
114594aa9898
1220a33b8546
13101435656b
1473564c418
15428478386
hex27d0b4806

10687825926 has 72 divisors (see below), whose sum is σ = 24617796840. Its totient is φ = 3350538432.

The previous prime is 10687825919. The next prime is 10687825933. The reversal of 10687825926 is 62952878601.

10687825926 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10687825919) and next prime (10687825933).

It is a super-2 number, since 2×106878259262 (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 35 ways as a sum of consecutive naturals, for example, 897306 + ... + 909138.

It is an arithmetic number, because the mean of its divisors is an integer number (341913845).

Almost surely, 210687825926 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10687825926, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12308898420).

10687825926 is an abundant number, since it is smaller than the sum of its proper divisors (13929970914).

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

10687825926 is a wasteful number, since it uses less digits than its factorization.

10687825926 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12018 (or 11996 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 10687825926 in words is "ten billion, six hundred eighty-seven million, eight hundred twenty-five thousand, nine hundred twenty-six".

Divisors: 1 2 3 6 9 18 19 38 57 114 139 171 278 342 361 417 722 834 1083 1251 2166 2502 2641 3249 5282 6498 7923 11833 15846 23666 23769 35499 47538 50179 70998 100358 106497 150537 212994 224827 301074 449654 451611 674481 903222 1348962 1644787 2023443 3289574 4046886 4271713 4934361 8543426 9868722 12815139 14803083 25630278 29606166 31250953 38445417 62501906 76890834 93752859 187505718 281258577 562517154 593768107 1187536214 1781304321 3562608642 5343912963 10687825926