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69742632960 = 213355721113
BaseRepresentation
bin100000011110011111…
…1000010000000000000
320200000111001211200000
41000330333002000000
52120313103223320
652012254400000
75016200412300
oct1007477020000
9220014054600
1069742632960
1127639997440
1211624800000
136766025970
14353877d600
151c32c23c90
hex103cfc2000

69742632960 has 2016 divisors, whose sum is σ = 342633799872. Its totient is φ = 13377208320.

The previous prime is 69742632887. The next prime is 69742632977. The reversal of 69742632960 is 6923624796.

69742632960 is a `hidden beast` number, since 6 + 97 + 4 + 263 + 296 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is a junction number, because it is equal to n+sod(n) for n = 69742632897 and 69742632906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5364817914 + ... + 5364817926.

It is an arithmetic number, because the mean of its divisors is an integer number (169957242).

Almost surely, 269742632960 is an apocalyptic number.

69742632960 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 69742632960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171316899936).

69742632960 is an abundant number, since it is smaller than the sum of its proper divisors (272891166912).

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

69742632960 is a wasteful number, since it uses less digits than its factorization.

69742632960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 69742632960 in words is "sixty-nine billion, seven hundred forty-two million, six hundred thirty-two thousand, nine hundred sixty".