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685500105024 = 263271929973181
BaseRepresentation
bin10011111100110101111…
…11011000000101000000
32102112101200101102011200
421332122333120011000
542212401011330044
61242525302141200
7100345221516150
oct11763277300500
92375350342150
10685500105024
1124479aa35a19
12b0a30721800
134c847411a27
142526d6a2760
1512c7112c369
hex9f9afd8140

685500105024 has 672 divisors, whose sum is σ = 2471237932800. Its totient is φ = 177248010240.

The previous prime is 685500105011. The next prime is 685500105029. The reversal of 685500105024 is 420501005586.

685500105024 is a `hidden beast` number, since 6 + 85 + 500 + 1 + 0 + 50 + 24 = 666.

685500105024 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 685500105024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (685500105029) 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, 215496714 + ... + 215499894.

It is an arithmetic number, because the mean of its divisors is an integer number (3677437400).

Almost surely, 2685500105024 is an apocalyptic number.

685500105024 is a gapful number since it is divisible by the number (64) 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 685500105024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1235618966400).

685500105024 is an abundant number, since it is smaller than the sum of its proper divisors (1785737827776).

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

685500105024 is a wasteful number, since it uses less digits than its factorization.

685500105024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3351 (or 3338 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 685500105024 in words is "six hundred eighty-five billion, five hundred million, one hundred five thousand, twenty-four".