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69938380800 = 21634521731
BaseRepresentation
bin100000100100010100…
…1110000000000000000
320200112010101212020000
41001020221300000000
52121213211141200
652043530120000
75024065266561
oct1011051600000
9220463355200
1069938380800
112772a435712
121167a280000
1367977516a2
143556776168
151c44edd300
hex1048a70000

69938380800 has 1020 divisors, whose sum is σ = 283188856896. Its totient is φ = 16986931200.

The previous prime is 69938380777. The next prime is 69938380843. The reversal of 69938380800 is 808383996.

It is a tau number, because it is divible by the number of its divisors (1020).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2256076785 + ... + 2256076815.

Almost surely, 269938380800 is an apocalyptic number.

69938380800 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 69938380800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141594428448).

69938380800 is an abundant number, since it is smaller than the sum of its proper divisors (213250476096).

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

69938380800 is an equidigital number, since it uses as much as digits as its factorization.

69938380800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 69938380800 in words is "sixty-nine billion, nine hundred thirty-eight million, three hundred eighty thousand, eight hundred".