Base | Representation |
---|---|
bin | 1110101110111010001111… |
… | …01110001011011110000000 |
3 | 11020201020021012012120012000 |
4 | 13113131013232023132000 |
5 | 13221302343222223124 |
6 | 152523300100304000 |
7 | 6552455102564316 |
oct | 727350756133600 |
9 | 136636235176160 |
10 | 32398141601664 |
11 | a360a7a353043 |
12 | 3772b880a2000 |
13 | 15101932b5967 |
14 | 8001152840b6 |
15 | 3b2b3b45d6c9 |
hex | 1d7747b8b780 |
32398141601664 has 1024 divisors, whose sum is σ = 109397692800000. Its totient is φ = 9377040826368.
The previous prime is 32398141601627. The next prime is 32398141601701. The reversal of 32398141601664 is 46610614189323.
It is a happy number.
32398141601664 is a `hidden beast` number, since 3 + 23 + 9 + 8 + 1 + 4 + 1 + 601 + 6 + 6 + 4 = 666.
It is an interprime number because it is at equal distance from previous prime (32398141601627) and next prime (32398141601701).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a self number, because there is not a number n which added to its sum of digits gives 32398141601664.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7178845872 + ... + 7178850384.
It is an arithmetic number, because the mean of its divisors is an integer number (106833684375).
Almost surely, 232398141601664 is an apocalyptic number.
32398141601664 is a gapful number since it is divisible by the number (34) 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 32398141601664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54698846400000).
32398141601664 is an abundant number, since it is smaller than the sum of its proper divisors (76999551198336).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
32398141601664 is a wasteful number, since it uses less digits than its factorization.
32398141601664 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4740 (or 4722 counting only the distinct ones).
The product of its (nonzero) digits is 4478976, while the sum is 54.
The spelling of 32398141601664 in words is "thirty-two trillion, three hundred ninety-eight billion, one hundred forty-one million, six hundred one thousand, six hundred sixty-four".
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