Base | Representation |
---|---|
bin | 110010010000010111… |
… | …1110110110010100000 |
3 | 101022120101021211222200 |
4 | 1210200233312302200 |
5 | 3232011420122441 |
6 | 121325053133200 |
7 | 10540306310520 |
oct | 1444057666240 |
9 | 338511254880 |
10 | 107923598496 |
11 | 4185206aa0a |
12 | 18abb48a200 |
13 | a23c28236c |
14 | 531b51b680 |
15 | 2c19b927b6 |
hex | 1920bf6ca0 |
107923598496 has 144 divisors (see below), whose sum is σ = 352150763328. Its totient is φ = 30712320000.
The previous prime is 107923598491. The next prime is 107923598521. The reversal of 107923598496 is 694895329701.
107923598496 is a `hidden beast` number, since 1 + 0 + 7 + 92 + 3 + 59 + 8 + 496 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-2 number, since 2×1079235984962 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (63).
It is not an unprimeable number, because it can be changed into a prime (107923598491) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 399376 + ... + 612656.
It is an arithmetic number, because the mean of its divisors is an integer number (2445491412).
It is a 1-persistent number, because it is pandigital, but 2⋅107923598496 = 215847196992 is not.
Almost surely, 2107923598496 is an apocalyptic number.
107923598496 is a gapful number since it is divisible by the number (16) 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 107923598496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176075381664).
107923598496 is an abundant number, since it is smaller than the sum of its proper divisors (244227164832).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
107923598496 is a wasteful number, since it uses less digits than its factorization.
107923598496 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 213555 (or 213544 counting only the distinct ones).
The product of its (nonzero) digits is 29393280, while the sum is 63.
The spelling of 107923598496 in words is "one hundred seven billion, nine hundred twenty-three million, five hundred ninety-eight thousand, four hundred ninety-six".
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