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13533027030 = 23254116721961
BaseRepresentation
bin11001001101010000…
…11001101011010110
31021221010210000002100
430212220121223112
5210203423331110
610114511422530
7656234555205
oct144650315326
937833700070
1013533027030
11581504a566
122758224a46
13137894b803
1492547b23c
15543140bc0
hex326a19ad6

13533027030 has 96 divisors (see below), whose sum is σ = 36261546048. Its totient is φ = 3499545600.

The previous prime is 13533026957. The next prime is 13533027031. The reversal of 13533027030 is 3072033531.

13533027030 is a `hidden beast` number, since 1 + 35 + 330 + 270 + 30 = 666.

13533027030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13533026985 and 13533027003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13533027031) 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 47 ways as a sum of consecutive naturals, for example, 605250 + ... + 627210.

It is an arithmetic number, because the mean of its divisors is an integer number (377724438).

Almost surely, 213533027030 is an apocalyptic number.

13533027030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13533027030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18130773024).

13533027030 is an abundant number, since it is smaller than the sum of its proper divisors (22728519018).

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

13533027030 is a wasteful number, since it uses less digits than its factorization.

13533027030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22182 (or 22179 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 27.

The spelling of 13533027030 in words is "thirteen billion, five hundred thirty-three million, twenty-seven thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 41 45 82 90 123 167 205 246 334 369 410 501 615 738 835 1002 1230 1503 1670 1845 2505 3006 3690 5010 6847 7515 13694 15030 20541 21961 34235 41082 43922 61623 65883 68470 102705 109805 123246 131766 197649 205410 219610 308115 329415 395298 616230 658830 900401 988245 1800802 1976490 2701203 3667487 4502005 5402406 7334974 8103609 9004010 11002461 13506015 16207218 18337435 22004922 27012030 33007383 36674870 40518045 55012305 66014766 81036090 110024610 150366967 165036915 300733934 330073830 451100901 751834835 902201802 1353302703 1503669670 2255504505 2706605406 4511009010 6766513515 13533027030