Base | Representation |
---|---|
bin | 1110000101111010000011… |
… | …01001100000000000000000 |
3 | 11001201112202221012002200000 |
4 | 13002331001221200000000 |
5 | 13030212031323014111 |
6 | 145524141122400000 |
7 | 6345621335360304 |
oct | 702750151400000 |
9 | 131645687162600 |
10 | 30989290438656 |
11 | 9968536622000 |
12 | 3585b22800000 |
13 | 143a37ba11234 |
14 | 791c65327d04 |
15 | 38b181221c56 |
hex | 1c2f41a60000 |
30989290438656 has 1728 divisors, whose sum is σ = 110638405253376. Its totient is φ = 8632758435840.
The previous prime is 30989290438651. The next prime is 30989290438657. The reversal of 30989290438656 is 65683409298903.
30989290438656 is a `hidden beast` number, since 30 + 9 + 89 + 2 + 90 + 4 + 386 + 56 = 666.
It is a tau number, because it is divible by the number of its divisors (1728).
It is a super-2 number, since 2×309892904386562 (a number of 28 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (72).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (30989290438651) by changing a digit.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 720681172971 + ... + 720681173013.
It is an arithmetic number, because the mean of its divisors is an integer number (64026854892).
Almost surely, 230989290438656 is an apocalyptic number.
30989290438656 is a gapful number since it is divisible by the number (36) 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 30989290438656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55319202626688).
30989290438656 is an abundant number, since it is smaller than the sum of its proper divisors (79649114814720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
30989290438656 is an frugal number, since it uses more digits than its factorization.
30989290438656 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 142 (or 76 counting only the distinct ones).
The product of its (nonzero) digits is 604661760, while the sum is 72.
The spelling of 30989290438656 in words is "thirty trillion, nine hundred eighty-nine billion, two hundred ninety million, four hundred thirty-eight thousand, six hundred fifty-six".
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