Search a number
-
+
146276515561932 = 2234729213688307
BaseRepresentation
bin100001010000100110100111…
…101111111100000111001100
3201011220220020212121001120000
4201100212213233330013030
5123133043300440440212
61235034300434124300
742545062263222300
oct4120464757740714
9634826225531500
10146276515561932
1142676581682a98
12144a5451120690
136380a7c3461a2
142819b6d269d00
1511d9ec40311dc
hex8509a7bfc1cc

146276515561932 has 90 divisors (see below), whose sum is σ = 444827657821932. Its totient is φ = 41793290156016.

The previous prime is 146276515561903. The next prime is 146276515561963. The reversal of 146276515561932 is 239165515672641.

146276515561932 is a `hidden beast` number, since 1 + 4 + 6 + 2 + 7 + 6 + 5 + 1 + 5 + 5 + 619 + 3 + 2 = 666.

146276515561932 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 146276515561932.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 4606828278 + ... + 4606860029.

Almost surely, 2146276515561932 is an apocalyptic number.

146276515561932 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

146276515561932 is an abundant number, since it is smaller than the sum of its proper divisors (298551142260000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

146276515561932 is a wasteful number, since it uses less digits than its factorization.

146276515561932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9213688337 (or 9213688319 counting only the distinct ones).

The product of its digits is 81648000, while the sum is 63.

The spelling of 146276515561932 in words is "one hundred forty-six trillion, two hundred seventy-six billion, five hundred fifteen million, five hundred sixty-one thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 252 294 324 378 441 567 588 756 882 1134 1323 1764 2268 2646 3969 5292 7938 15876 9213688307 18427376614 27641064921 36854753228 55282129842 64495818149 82923194763 110564259684 128991636298 165846389526 193487454447 248769584289 257983272596 331692779052 386974908894 451470727043 497539168578 580462363341 746308752867 773949817788 902941454086 995078337156 1160924726682 1354412181129 1492617505734 1741387090023 1805882908172 2321849453364 2708824362258 2985235011468 3482774180046 4063236543387 5224161270069 5417648724516 6965548360092 8126473086774 10448322540138 12189709630161 16252946173548 20896645080276 24379419260322 36569128890483 48758838520644 73138257780966 146276515561932