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146948210028 = 223237110321479
BaseRepresentation
bin1000100011011011001…
…0111011110101101100
3112001022001222112001100
42020312302323311230
54401422220210103
6151301310043100
713421341114254
oct2106662736554
9461261875040
10146948210028
1157358485184
12245907a9490
1310b1b233b89
147180346964
153c50c0a5a3
hex2236cbbd6c

146948210028 has 36 divisors (see below), whose sum is σ = 381491677840. Its totient is φ = 47658878496.

The previous prime is 146948210027. The next prime is 146948210039. The reversal of 146948210028 is 820012849641.

146948210028 is a `hidden beast` number, since 1 + 4 + 69 + 482 + 100 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (146948210021) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55159408 + ... + 55162071.

Almost surely, 2146948210028 is an apocalyptic number.

146948210028 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

146948210028 is an abundant number, since it is smaller than the sum of its proper divisors (234543467812).

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

146948210028 is a wasteful number, since it uses less digits than its factorization.

146948210028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110321526 (or 110321521 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 146948210028 in words is "one hundred forty-six billion, nine hundred forty-eight million, two hundred ten thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 110321479 220642958 330964437 441285916 661928874 992893311 1323857748 1985786622 3971573244 4081894723 8163789446 12245684169 16327578892 24491368338 36737052507 48982736676 73474105014 146948210028