Base | Representation |
---|---|
bin | 101100010000111000… |
… | …111000111011110000 |
3 | 11112200022022000000000 |
4 | 230100320320323300 |
5 | 1234314131121401 |
6 | 33500053430000 |
7 | 3301534145346 |
oct | 542070707360 |
9 | 145608260000 |
10 | 47527988976 |
11 | 1917a346636 |
12 | 926503b300 |
13 | 4635890100 |
14 | 242c2c7996 |
15 | 1382847186 |
hex | b10e38ef0 |
47527988976 has 600 divisors, whose sum is σ = 160790065920. Its totient is φ = 13559539968.
The previous prime is 47527988953. The next prime is 47527988993. The reversal of 47527988976 is 67988972574.
47527988976 is a `hidden beast` number, since 4 + 7 + 527 + 9 + 8 + 8 + 97 + 6 = 666.
It is a super-2 number, since 2×475279889762 (a number of 22 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (72).
Its product of digits (426746880) is a multiple of the sum of its prime divisors (84).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1011233785 + ... + 1011233831.
Almost surely, 247527988976 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 47527988976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80395032960).
47527988976 is an abundant number, since it is smaller than the sum of its proper divisors (113262076944).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
47527988976 is an equidigital number, since it uses as much as digits as its factorization.
47527988976 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 127 (or 84 counting only the distinct ones).
The product of its digits is 426746880, while the sum is 72.
The spelling of 47527988976 in words is "forty-seven billion, five hundred twenty-seven million, nine hundred eighty-eight thousand, nine hundred seventy-six".
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