Base | Representation |
---|---|
bin | 1000111010010000100… |
… | …0110100101100000110 |
3 | 112122010020120101221200 |
4 | 2032210020310230012 |
5 | 10002000333204000 |
6 | 154153424523330 |
7 | 14026256254401 |
oct | 2164410645406 |
9 | 478106511850 |
10 | 153077631750 |
11 | 59a1337246a |
12 | 25801480546 |
13 | 11587075134 |
14 | 75a2404d38 |
15 | 3eaddaa500 |
hex | 23a4234b06 |
153077631750 has 96 divisors (see below), whose sum is σ = 414318501792. Its totient is φ = 40781592000.
The previous prime is 153077631719. The next prime is 153077631757. The reversal of 153077631750 is 57136770351.
153077631750 is a `hidden beast` number, since 1 + 5 + 3 + 0 + 7 + 7 + 631 + 7 + 5 + 0 = 666.
153077631750 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×1530776317502 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a Curzon number.
It is a junction number, because it is equal to n+sod(n) for n = 153077631696 and 153077631705.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (153077631757) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2355189 + ... + 2419311.
It is an arithmetic number, because the mean of its divisors is an integer number (4315817727).
Almost surely, 2153077631750 is an apocalyptic number.
153077631750 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 153077631750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207159250896).
153077631750 is an abundant number, since it is smaller than the sum of its proper divisors (261240870042).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
153077631750 is a wasteful number, since it uses less digits than its factorization.
153077631750 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 65207 (or 65194 counting only the distinct ones).
The product of its (nonzero) digits is 463050, while the sum is 45.
The spelling of 153077631750 in words is "one hundred fifty-three billion, seventy-seven million, six hundred thirty-one thousand, seven hundred fifty".
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