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104465839527504 = 2432713115121533217
BaseRepresentation
bin10111110000001011011001…
…010000011001011001010000
3111200212211120222021010202100
4113300023121100121121100
5102143032014404340004
61010102535534320400
731001256613614540
oct2760133120313120
9450784528233670
10104465839527504
1130316793aa3694
12b87221a359100
13463a117a7b0c0
141bb2260563320
15c125e23b1739
hex5f02d9419650

104465839527504 has 480 divisors, whose sum is σ = 360418675728384. Its totient is φ = 27506154700800.

The previous prime is 104465839527503. The next prime is 104465839527593. The reversal of 104465839527504 is 405725938564401.

It is a happy number.

104465839527504 is a `hidden beast` number, since 1 + 0 + 4 + 4 + 6 + 58 + 3 + 9 + 527 + 50 + 4 = 666.

It is a super-2 number, since 2×1044658395275042 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104465839527503) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32473060104 + ... + 32473063320.

It is a 1-persistent number, because it is pandigital, but 2⋅104465839527504 = 208931679055008 is not.

Almost surely, 2104465839527504 is an apocalyptic number.

104465839527504 is a gapful number since it is divisible by the number (14) 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 104465839527504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180209337864192).

104465839527504 is an abundant number, since it is smaller than the sum of its proper divisors (255952836200880).

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

104465839527504 is a wasteful number, since it uses less digits than its factorization.

104465839527504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6555 (or 6546 counting only the distinct ones).

The product of its (nonzero) digits is 145152000, while the sum is 63.

The spelling of 104465839527504 in words is "one hundred four trillion, four hundred sixty-five billion, eight hundred thirty-nine million, five hundred twenty-seven thousand, five hundred four".