Base | Representation |
---|---|
bin | 101011100011011000… |
… | …000111111100010100 |
3 | 11110201002111221010000 |
4 | 223203120013330110 |
5 | 1231233143044410 |
6 | 33252215531300 |
7 | 3243603024300 |
oct | 534330077424 |
9 | 143632457100 |
10 | 46764424980 |
11 | 18918331709 |
12 | 9091389b30 |
13 | 45436267b0 |
14 | 2398b24d00 |
15 | 133a7badc0 |
hex | ae3607f14 |
46764424980 has 360 divisors, whose sum is σ = 183784248648. Its totient is φ = 9866562048.
The previous prime is 46764424979. The next prime is 46764425017. The reversal of 46764424980 is 8942446764.
46764424980 is a `hidden beast` number, since 46 + 76 + 4 + 42 + 498 + 0 = 666.
46764424980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 4 ways, for example, as 178382736 + 46586042244 = 13356^2 + 215838^2 .
It is a super-2 number, since 2×467644249802 (a number of 22 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
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, 1009282 + ... + 1054598.
Almost surely, 246764424980 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 46764424980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91892124324).
46764424980 is an abundant number, since it is smaller than the sum of its proper divisors (137019823668).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
46764424980 is a wasteful number, since it uses less digits than its factorization.
46764424980 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 45365 (or 45347 counting only the distinct ones).
The product of its (nonzero) digits is 9289728, while the sum is 54.
The spelling of 46764424980 in words is "forty-six billion, seven hundred sixty-four million, four hundred twenty-four thousand, nine hundred eighty".
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