Base | Representation |
---|---|
bin | 11000000110110011101001… |
… | …111001101000001111000000 |
3 | 111220101111110121010020221000 |
4 | 120012303221321220033000 |
5 | 102344021244103322200 |
6 | 1013253154435332000 |
7 | 31221520442512653 |
oct | 3006635171501700 |
9 | 456344417106830 |
10 | 106020896932800 |
11 | 308662343a5523 |
12 | ba83687a51000 |
13 | 472095c941c25 |
14 | 1c2762008589a |
15 | c3cca80e6300 |
hex | 606ce9e683c0 |
106020896932800 has 672 divisors, whose sum is σ = 390417178219200. Its totient is φ = 27985139712000.
The previous prime is 106020896932771. The next prime is 106020896932849. The reversal of 106020896932800 is 8239698020601.
106020896932800 is a `hidden beast` number, since 1 + 0 + 602 + 0 + 8 + 9 + 6 + 9 + 3 + 28 + 0 + 0 = 666.
It is a super-2 number, since 2×1060208969328002 (a number of 29 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 95 ways as a sum of consecutive naturals, for example, 4996026190 + ... + 4996047410.
Almost surely, 2106020896932800 is an apocalyptic number.
106020896932800 is a gapful number since it is divisible by the number (10) 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 106020896932800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195208589109600).
106020896932800 is an abundant number, since it is smaller than the sum of its proper divisors (284396281286400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106020896932800 is a wasteful number, since it uses less digits than its factorization.
106020896932800 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 22422 (or 22401 counting only the distinct ones).
The product of its (nonzero) digits is 2239488, while the sum is 54.
The spelling of 106020896932800 in words is "one hundred six trillion, twenty billion, eight hundred ninety-six million, nine hundred thirty-two thousand, eight hundred".
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