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13025555040 = 2535172369403
BaseRepresentation
bin11000010000110001…
…00011001001100000
31020121202212202101110
430020120203021200
5203134020230130
65552302503320
7640533251061
oct141030431140
936552782343
1013025555040
11558464a323
122636294b40
1312c777b724
148b7cdc568
155137edab0
hex308623260

13025555040 has 192 divisors, whose sum is σ = 45333582336. Its totient is φ = 3126976512.

The previous prime is 13025555033. The next prime is 13025555047. The reversal of 13025555040 is 4055552031.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13025555033) and next prime (13025555047).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13025554989 and 13025555007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13025555047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 152979 + ... + 222381.

It is an arithmetic number, because the mean of its divisors is an integer number (236112408).

Almost surely, 213025555040 is an apocalyptic number.

13025555040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13025555040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22666791168).

13025555040 is an abundant number, since it is smaller than the sum of its proper divisors (32308027296).

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

13025555040 is a wasteful number, since it uses less digits than its factorization.

13025555040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69461 (or 69453 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 30.

The spelling of 13025555040 in words is "thirteen billion, twenty-five million, five hundred fifty-five thousand, forty".