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666106091352 = 233413172419653
BaseRepresentation
bin10011011000101110000…
…01000101011101011000
32100200100002010102220000
421230113001011131120
541403141124410402
61230001021133000
766060505233222
oct11542701053530
92320302112800
10666106091352
11237548583449
12a91196ba160
134aa7644a6b0
142434da81412
15124d86b2c1c
hex9b17045758

666106091352 has 480 divisors, whose sum is σ = 2142742971600. Its totient is φ = 192144420864.

The previous prime is 666106091347. The next prime is 666106091411. The reversal of 666106091352 is 253190601666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 666106091298 and 666106091307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1020070258 + ... + 1020070910.

Almost surely, 2666106091352 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 666106091352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1071371485800).

666106091352 is an abundant number, since it is smaller than the sum of its proper divisors (1476636880248).

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

666106091352 is a wasteful number, since it uses less digits than its factorization.

666106091352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 666106091352 in words is "six hundred sixty-six billion, one hundred six million, ninety-one thousand, three hundred fifty-two".