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68833529856 = 2123271317271
BaseRepresentation
bin100000000011011001…
…1000101000000000000
320120200010102121122200
41000012303011000000
52111432340423411
651342141233200
74654521231030
oct1000663050000
9216603377580
1068833529856
1127212807863
1211410262800
13664c892a30
14348db338c0
151bccee9e56
hex1006cc5000

68833529856 has 936 divisors, whose sum is σ = 263614425984. Its totient is φ = 16845373440.

The previous prime is 68833529837. The next prime is 68833529893. The reversal of 68833529856 is 65892533886.

68833529856 is a `hidden beast` number, since 6 + 8 + 8 + 335 + 298 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (936).

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 = 68833529793 and 68833529802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 969486301 + ... + 969486371.

It is an arithmetic number, because the mean of its divisors is an integer number (281639344).

Almost surely, 268833529856 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 68833529856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131807212992).

68833529856 is an abundant number, since it is smaller than the sum of its proper divisors (194780896128).

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

68833529856 is a wasteful number, since it uses less digits than its factorization.

68833529856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 113 counting only the distinct ones).

The product of its digits is 74649600, while the sum is 63.

The spelling of 68833529856 in words is "sixty-eight billion, eight hundred thirty-three million, five hundred twenty-nine thousand, eight hundred fifty-six".