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13318623990 = 23357171921817
BaseRepresentation
bin11000110011101101…
…00001001011110110
31021101012100012102000
430121312201023312
5204234031431430
610041332200130
7651022302360
oct143166411366
937335305360
1013318623990
11571501a371
1226b8469046
1313433c07c9
14904bc9d30
1552e3dde60
hex319da12f6

13318623990 has 256 divisors, whose sum is σ = 45241804800. Its totient is φ = 2714259456.

The previous prime is 13318623979. The next prime is 13318624001. The reversal of 13318623990 is 9932681331.

13318623990 is a `hidden beast` number, since 1 + 3 + 3 + 18 + 623 + 9 + 9 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13318623979) and next prime (13318624001).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 599562 + ... + 621378.

It is an arithmetic number, because the mean of its divisors is an integer number (176725800).

Almost surely, 213318623990 is an apocalyptic number.

13318623990 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 13318623990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22620902400).

13318623990 is an abundant number, since it is smaller than the sum of its proper divisors (31923180810).

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

13318623990 is a wasteful number, since it uses less digits than its factorization.

13318623990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21876 (or 21870 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 13318623990 in words is "thirteen billion, three hundred eighteen million, six hundred twenty-three thousand, nine hundred ninety".