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104342657580 = 2232571931592383
BaseRepresentation
bin110000100101101001…
…1101001101000101100
3100222022211010012112100
41201023103221220230
53202143210020310
6115533453135100
710352464645530
oct1411323515054
9328284105470
10104342657580
114028478a007
121828018a490
139abb416305
14509bacdbc0
152aaa5e7ec0
hex184b4e9a2c

104342657580 has 576 divisors, whose sum is σ = 399871180800. Its totient is φ = 21486021120.

The previous prime is 104342657569. The next prime is 104342657581. The reversal of 104342657580 is 85756243401.

104342657580 is a `hidden beast` number, since 1 + 0 + 4 + 3 + 4 + 2 + 65 + 7 + 580 = 666.

104342657580 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (104342657581) 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 191 ways as a sum of consecutive naturals, for example, 43785069 + ... + 43787451.

It is an arithmetic number, because the mean of its divisors is an integer number (694220800).

Almost surely, 2104342657580 is an apocalyptic number.

104342657580 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 104342657580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199935590400).

104342657580 is an abundant number, since it is smaller than the sum of its proper divisors (295528523220).

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

104342657580 is a wasteful number, since it uses less digits than its factorization.

104342657580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2514 (or 2509 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 104342657580 in words is "one hundred four billion, three hundred forty-two million, six hundred fifty-seven thousand, five hundred eighty".