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18199485104640 = 2935721271971933
BaseRepresentation
bin1000010001101011001011…
…10110000100001000000000
32101102212001102000221112120
410020311211312010020000
54341140021141322030
6102412421131124240
73555604130645100
oct410654566041000
971385042027476
1018199485104640
1158873a39779a4
12205b2228a3680
13a2028649c928
1446cc0733b200
15218625021010
hex108d65d84200

18199485104640 has 960 divisors, whose sum is σ = 68595142201344. Its totient is φ = 4104053194752.

The previous prime is 18199485104639. The next prime is 18199485104681. The reversal of 18199485104640 is 4640158499181.

It is a tau number, because it is divible by the number of its divisors (960).

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9415149114 + ... + 9415151046.

Almost surely, 218199485104640 is an apocalyptic number.

18199485104640 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 18199485104640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34297571100672).

18199485104640 is an abundant number, since it is smaller than the sum of its proper divisors (50395657096704).

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

18199485104640 is a wasteful number, since it uses less digits than its factorization.

18199485104640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2297 (or 2274 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 60.

The spelling of 18199485104640 in words is "eighteen trillion, one hundred ninety-nine billion, four hundred eighty-five million, one hundred four thousand, six hundred forty".