Base | Representation |
---|---|
bin | 11000001011111101011010… |
… | …000100110101111000111110 |
3 | 111221122100101021222121200100 |
4 | 120023331122010311320332 |
5 | 102420321412324120112 |
6 | 1014123552421341530 |
7 | 31256223554121033 |
oct | 3013753204657076 |
9 | 457570337877610 |
10 | 106374966238782 |
11 | 3099240828566a |
12 | bb20220b678a6 |
13 | 47481685b98c7 |
14 | 1c3a80c14d38a |
15 | c470cc5102dc |
hex | 60bf5a135e3e |
106374966238782 has 96 divisors (see below), whose sum is σ = 235619942800320. Its totient is φ = 34672124597760.
The previous prime is 106374966238781. The next prime is 106374966238787. The reversal of 106374966238782 is 287832669473601.
106374966238782 is a `hidden beast` number, since 1 + 0 + 6 + 3 + 7 + 496 + 62 + 3 + 8 + 78 + 2 = 666.
It is a super-2 number, since 2×1063749662387822 (a number of 29 digits) contains 22 as substring.
It is a hoax number, since the sum of its digits (72) coincides with the sum of the digits of its distinct prime factors.
It is a self number, because there is not a number n which added to its sum of digits gives 106374966238782.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (106374966238781) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 353408644 + ... + 353709512.
It is an arithmetic number, because the mean of its divisors is an integer number (2454374404170).
Almost surely, 2106374966238782 is an apocalyptic number.
106374966238782 is an abundant number, since it is smaller than the sum of its proper divisors (129244976561538).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106374966238782 is a wasteful number, since it uses less digits than its factorization.
106374966238782 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 302178 (or 302175 counting only the distinct ones).
The product of its (nonzero) digits is 877879296, while the sum is 72.
The spelling of 106374966238782 in words is "one hundred six trillion, three hundred seventy-four billion, nine hundred sixty-six million, two hundred thirty-eight thousand, seven hundred eighty-two".
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