| Base | Representation |
|---|---|
| bin | 1000011100111110010… |
| … | …1010101111110000000 |
| 3 | 111212211101122022010200 |
| 4 | 2013033211111332000 |
| 5 | 4334400422000132 |
| 6 | 150413411325200 |
| 7 | 13330413452364 |
| oct | 2071745257600 |
| 9 | 455741568120 |
| 10 | 145216593792 |
| 11 | 56649a88286 |
| 12 | 241888b0800 |
| 13 | 10903567a9a |
| 14 | 70583912a4 |
| 15 | 3b9dbadd7c |
| hex | 21cf955f80 |
145216593792 has 192 divisors, whose sum is σ = 442834938000. Its totient is φ = 45519224832.
The previous prime is 145216593791. The next prime is 145216593833. The reversal of 145216593792 is 297395612541.
145216593792 is a `hidden beast` number, since 1 + 4 + 5 + 216 + 59 + 379 + 2 = 666.
145216593792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (192).
It is a super-2 number, since 2×1452165937922 (a number of 23 digits) contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (145216593791) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30333223 + ... + 30338009.
Almost surely, 2145216593792 is an apocalyptic number.
145216593792 is a gapful number since it is divisible by the number (12) 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 145216593792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221417469000).
145216593792 is an abundant number, since it is smaller than the sum of its proper divisors (297618344208).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
145216593792 is a wasteful number, since it uses less digits than its factorization.
145216593792 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6373 (or 6358 counting only the distinct ones).
The product of its digits is 4082400, while the sum is 54.
The spelling of 145216593792 in words is "one hundred forty-five billion, two hundred sixteen million, five hundred ninety-three thousand, seven hundred ninety-two".
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