Base | Representation |
---|---|
bin | 1000110101110110100… |
… | …1110101011110000000 |
3 | 112112001211102201221220 |
4 | 2031131221311132000 |
5 | 4442040121301420 |
6 | 153440223115040 |
7 | 13655050034640 |
oct | 2153551653600 |
9 | 475054381856 |
10 | 151895103360 |
11 | 5946690a380 |
12 | 25531442a80 |
13 | 1142908a2b0 |
14 | 74cd342520 |
15 | 3e40171840 |
hex | 235da75780 |
151895103360 has 1024 divisors, whose sum is σ = 688455936000. Its totient is φ = 27415019520.
The previous prime is 151895103329. The next prime is 151895103361. The reversal of 151895103360 is 63301598151.
151895103360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (42).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (151895103361) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 32670316 + ... + 32674964.
It is an arithmetic number, because the mean of its divisors is an integer number (672320250).
Almost surely, 2151895103360 is an apocalyptic number.
151895103360 is a gapful number since it is divisible by the number (10) 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 151895103360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344227968000).
151895103360 is an abundant number, since it is smaller than the sum of its proper divisors (536560832640).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
151895103360 is a wasteful number, since it uses less digits than its factorization.
151895103360 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4719 (or 4707 counting only the distinct ones).
The product of its (nonzero) digits is 97200, while the sum is 42.
It can be divided in two parts, 151895 and 103360, that added together give a triangular number (255255 = T714).
The spelling of 151895103360 in words is "one hundred fifty-one billion, eight hundred ninety-five million, one hundred three thousand, three hundred sixty".
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