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159306136704 = 273211137912241
BaseRepresentation
bin1001010001011101100…
…0101011110010000000
3120020012022121020111100
42110113120223302000
510102224332333304
6201103443214400
714336516551101
oct2242730536200
9506168536440
10159306136704
116161a185420
1226a5b377400
131203a598820
1479d36d63a8
154225acd439
hex251762bc80

159306136704 has 384 divisors, whose sum is σ = 545425171200. Its totient is φ = 43993497600.

The previous prime is 159306136679. The next prime is 159306136727. The reversal of 159306136704 is 407631603951.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 159306136704.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13008024 + ... + 13020264.

It is an arithmetic number, because the mean of its divisors is an integer number (1420378050).

Almost surely, 2159306136704 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 159306136704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272712585600).

159306136704 is an abundant number, since it is smaller than the sum of its proper divisors (386119034496).

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

159306136704 is a wasteful number, since it uses less digits than its factorization.

159306136704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12364 (or 12349 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 159306136704 in words is "one hundred fifty-nine billion, three hundred six million, one hundred thirty-six thousand, seven hundred four".