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10553106340 = 225778179643
BaseRepresentation
bin10011101010000001…
…11001111110100100
31000020110112100101101
421311000321332210
5133103043400330
64503101405444
7522341631610
oct116500717644
930213470341
1010553106340
114525a53a97
122066269884
13cc247782a
147217c0340
1541b7164ca
hex275039fa4

10553106340 has 48 divisors (see below), whose sum is σ = 25333322112. Its totient is φ = 3617369856.

The previous prime is 10553106313. The next prime is 10553106341. The reversal of 10553106340 is 4360135501.

10553106340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105531063402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 10553106299 and 10553106308.

It is not an unprimeable number, because it can be changed into a prime (10553106341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1089559 + ... + 1099201.

It is an arithmetic number, because the mean of its divisors is an integer number (527777544).

Almost surely, 210553106340 is an apocalyptic number.

10553106340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10553106340 is an abundant number, since it is smaller than the sum of its proper divisors (14780215772).

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

10553106340 is a wasteful number, since it uses less digits than its factorization.

10553106340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17476 (or 17474 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

The spelling of 10553106340 in words is "ten billion, five hundred fifty-three million, one hundred six thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 7817 9643 15634 19286 31268 38572 39085 48215 54719 67501 78170 96430 109438 135002 156340 192860 218876 270004 273595 337505 547190 675010 1094380 1350020 75379331 150758662 301517324 376896655 527655317 753793310 1055310634 1507586620 2110621268 2638276585 5276553170 10553106340