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69611641344 = 2932717374773
BaseRepresentation
bin100000011010100101…
…1010101101000000000
320122200100120202221200
41000311023111220000
52120031040010334
651551255021200
75013020121450
oct1006513255000
9218610522850
1069611641344
1127581a58503
12115a896a800
136744b50a2b
143525201d60
151c2649b799
hex10352d5a00

69611641344 has 960 divisors, whose sum is σ = 258486598656. Its totient is φ = 17581473792.

The previous prime is 69611641331. The next prime is 69611641373. The reversal of 69611641344 is 44314611696.

It is a super-2 number, since 2×696116413442 (a number of 22 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 69611641344.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 953584092 + ... + 953584164.

Almost surely, 269611641344 is an apocalyptic number.

69611641344 is a gapful number since it is divisible by the number (64) 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 69611641344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129243299328).

69611641344 is an abundant number, since it is smaller than the sum of its proper divisors (188874957312).

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

69611641344 is a wasteful number, since it uses less digits than its factorization.

69611641344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 186 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The spelling of 69611641344 in words is "sixty-nine billion, six hundred eleven million, six hundred forty-one thousand, three hundred forty-four".