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684998506080 = 25345743117519
BaseRepresentation
bin10011111011111010001…
…01111011011001100000
32102111002201112112210000
421331331011323121200
542210334104143310
61242403423140000
7100326621142440
oct11757505733140
92374081475700
10684998506080
11244562887239
12b0910744600
134c797519c15
1425222c12120
1512c4209a4c0
hex9f7d17b660

684998506080 has 480 divisors, whose sum is σ = 2769395650560. Its totient is φ = 156198896640.

The previous prime is 684998506063. The next prime is 684998506097. The reversal of 684998506080 is 80605899486.

684998506080 is a `hidden beast` number, since 6 + 8 + 49 + 9 + 8 + 506 + 0 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (684998506063) and next prime (684998506097).

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a junction number, because it is equal to n+sod(n) for n = 684998505999 and 684998506017.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 39091561 + ... + 39109079.

It is an arithmetic number, because the mean of its divisors is an integer number (5769574272).

Almost surely, 2684998506080 is an apocalyptic number.

684998506080 is a gapful number since it is divisible by the number (60) 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 684998506080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1384697825280).

684998506080 is an abundant number, since it is smaller than the sum of its proper divisors (2084397144480).

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

684998506080 is a wasteful number, since it uses less digits than its factorization.

684998506080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17984 (or 17967 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 684998506080 in words is "six hundred eighty-four billion, nine hundred ninety-eight million, five hundred six thousand, eighty".