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6011669664 = 2534721113331
BaseRepresentation
bin1011001100101001…
…01100110010100000
3120111222000110110000
411212110230302200
544302441412124
62432310540000
7301655230500
oct54624546240
916458013400
106011669664
112605481440
1211b9367600
1374a6235b0
144105a9a00
15252b906c9
hex16652cca0

6011669664 has 720 divisors, whose sum is σ = 24235285536. Its totient is φ = 1437004800.

The previous prime is 6011669663. The next prime is 6011669681. The reversal of 6011669664 is 4669661106.

It is a super-2 number, since 2×60116696642 = 72280344298115745792, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6011669663) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 18161979 + ... + 18162309.

Almost surely, 26011669664 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 6011669664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12117642768).

6011669664 is an abundant number, since it is smaller than the sum of its proper divisors (18223615872).

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

6011669664 is a wasteful number, since it uses less digits than its factorization.

6011669664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 6011669664 is about 77534.9576900639. The cubic root of 6011669664 is about 1818.2978958303.

The spelling of 6011669664 in words is "six billion, eleven million, six hundred sixty-nine thousand, six hundred sixty-four".