Base | Representation |
---|---|
bin | 11101000001001000010… |
… | …01000010100001000000 |
3 | 10112022112100022221200100 |
4 | 32200210021002201000 |
5 | 112313413410341143 |
6 | 2042011104522400 |
7 | 132014356434150 |
oct | 16404411024100 |
9 | 3468470287610 |
10 | 997038762048 |
11 | 35492942aaaa |
12 | 141296320400 |
13 | 73035936534 |
14 | 36385050760 |
15 | 1ae067cc6d3 |
hex | e824242840 |
997038762048 has 336 divisors, whose sum is σ = 3469554152064. Its totient is φ = 267232296960.
The previous prime is 997038762037. The next prime is 997038762073. The reversal of 997038762048 is 840267830799.
997038762048 is a `hidden beast` number, since 99 + 70 + 387 + 62 + 0 + 48 = 666.
It is a tau number, because it is divible by the number of its divisors (336).
It is a Harshad number since it is a multiple of its sum of digits (63).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21019318 + ... + 21066698.
It is an arithmetic number, because the mean of its divisors is an integer number (10326054024).
Almost surely, 2997038762048 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 997038762048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1734777076032).
997038762048 is an abundant number, since it is smaller than the sum of its proper divisors (2472515390016).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
997038762048 is a wasteful number, since it uses less digits than its factorization.
997038762048 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 47730 (or 47717 counting only the distinct ones).
The product of its (nonzero) digits is 36578304, while the sum is 63.
The spelling of 997038762048 in words is "nine hundred ninety-seven billion, thirty-eight million, seven hundred sixty-two thousand, forty-eight".
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