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69941329920 = 21832572112
BaseRepresentation
bin100000100100011010…
…1000000000000000000
320200112022221200122200
41001020311000000000
52121214440024140
652044113233200
75024132331600
oct1011065000000
9220468850580
1069941329920
112773106a400
121167b262800
136798244b27
143556d02c00
151c453c2030
hex1048d40000

69941329920 has 1026 divisors, whose sum is σ = 310020340266. Its totient is φ = 14533263360.

The previous prime is 69941329903. The next prime is 69941329957. The reversal of 69941329920 is 2992314996.

It can be written as a sum of positive squares in only one way, i.e., 55953063936 + 13988265984 = 236544^2 + 118272^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 6358302715 + ... + 6358302725.

Almost surely, 269941329920 is an apocalyptic number.

69941329920 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 69941329920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155010170133).

69941329920 is an abundant number, since it is smaller than the sum of its proper divisors (240079010346).

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

69941329920 is an equidigital number, since it uses as much as digits as its factorization.

69941329920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 1889568, while the sum is 54.

The spelling of 69941329920 in words is "sixty-nine billion, nine hundred forty-one million, three hundred twenty-nine thousand, nine hundred twenty".