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387679490000 = 24541123314943
BaseRepresentation
bin1011010010000110111…
…11111000111111010000
31101001200001100121120122
411221003133320333100
522322431422140000
6454033020525412
740003026202535
oct5510337707720
91331601317518
10387679490000
1113a460a68930
12631750b0868
132a733c7743a
1414a99b92d8c
15a13ee67085
hex5a437f8fd0

387679490000 has 400 divisors, whose sum is σ = 1103147679744. Its totient is φ = 130468800000.

The previous prime is 387679489993. The next prime is 387679490039. The reversal of 387679490000 is 94976783.

It is a tau number, because it is divible by the number of its divisors (400).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 78427529 + ... + 78432471.

Almost surely, 2387679490000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 387679490000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551573839872).

387679490000 is an abundant number, since it is smaller than the sum of its proper divisors (715468189744).

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

387679490000 is a wasteful number, since it uses less digits than its factorization.

387679490000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5036 (or 5015 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 53.

The spelling of 387679490000 in words is "three hundred eighty-seven billion, six hundred seventy-nine million, four hundred ninety thousand".