Base | Representation |
---|---|
bin | 100001001111010101000110… |
… | …111101000100000100000000 |
3 | 201011121112100020001222101100 |
4 | 201033111012331010010000 |
5 | 123130130024010011441 |
6 | 1234530143530134400 |
7 | 42535543336411614 |
oct | 4117250675040400 |
9 | 634545306058340 |
10 | 146188992266496 |
11 | 42642448aa4783 |
12 | 144904a5881400 |
13 | 6375741687c8a |
14 | 2815829277344 |
15 | 11d7aa032ccb6 |
hex | 84f546f44100 |
146188992266496 has 81 divisors (see below), whose sum is σ = 421500577683549. Its totient is φ = 48729470635008.
The previous prime is 146188992266477. The next prime is 146188992266549. The reversal of 146188992266496 is 694662299881641.
The square root of 146188992266496 is 12090864.
It is a perfect power (a square), and thus also a powerful number.
146188992266496 is a `hidden beast` number, since 1 + 4 + 6 + 18 + 8 + 9 + 92 + 26 + 6 + 496 = 666.
It can be written as a sum of positive squares in only one way, i.e., 96896460960000 + 49292531306496 = 9843600^2 + 7020864^2 .
It is a nude number because it is divisible by every one of its digits.
It is an unprimeable number.
It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 580235526 + ... + 580487418.
Almost surely, 2146188992266496 is an apocalyptic number.
146188992266496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.
146188992266496 is the 12090864-th square number.
It is an amenable number.
146188992266496 is an abundant number, since it is smaller than the sum of its proper divisors (275311585417053).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
146188992266496 is an frugal number, since it uses more digits than its factorization.
146188992266496 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 503808 (or 251898 counting only the distinct ones).
The product of its digits is 3869835264, while the sum is 81.
The spelling of 146188992266496 in words is "one hundred forty-six trillion, one hundred eighty-eight billion, nine hundred ninety-two million, two hundred sixty-six thousand, four hundred ninety-six".
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