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6066692352 = 2832721729109
BaseRepresentation
bin1011010011001101…
…00110000100000000
3120122210112220101100
411221212212010000
544411033123402
62441554134400
7303224014500
oct55146460400
916583486340
106066692352
112633542836
121213881400
13758b49bb6
14417a0da00
1525790d71c
hex1699a6100

6066692352 has 648 divisors, whose sum is σ = 22491869400. Its totient is φ = 1560674304.

The previous prime is 6066692347. The next prime is 6066692371. The reversal of 6066692352 is 2532966606.

It can be written as a sum of positive squares in 4 ways, for example, as 2244485376 + 3822206976 = 47376^2 + 61824^2 .

It is a junction number, because it is equal to n+sod(n) for n = 6066692298 and 6066692307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 55657674 + ... + 55657782.

It is an arithmetic number, because the mean of its divisors is an integer number (34709675).

Almost surely, 26066692352 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 6066692352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11245934700).

6066692352 is an abundant number, since it is smaller than the sum of its proper divisors (16425177048).

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

6066692352 is a wasteful number, since it uses less digits than its factorization.

6066692352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The square root of 6066692352 is about 77888.9745214302. The cubic root of 6066692352 is about 1823.8284695575.

The spelling of 6066692352 in words is "six billion, sixty-six million, six hundred ninety-two thousand, three hundred fifty-two".