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146962226952 = 2332451792
BaseRepresentation
bin1000100011011110100…
…0011001111100001000
3112001100001100122122200
42020313220121330020
54401434312230302
6151302530320200
713421601214032
oct2106750317410
9461301318580
10146962226952
1157365389312
1224595429060
1310b21100c08
147182154c52
153c5207881c
hex2237a19f08

146962226952 has 36 divisors (see below), whose sum is σ = 398031508095. Its totient is φ = 48986324688.

The previous prime is 146962226951. The next prime is 146962226959. The reversal of 146962226952 is 259622269641.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

146962226952 is a `hidden beast` number, since 1 + 4 + 6 + 9 + 622 + 2 + 6 + 9 + 5 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 73481113476 + 73481113476 = 271074^2 + 271074^2 .

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

It is an ABA number since it can be written as A⋅BA, here for A=2, B=271074.

It is not an unprimeable number, because it can be changed into a prime (146962226951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3230299 + ... + 3275477.

Almost surely, 2146962226952 is an apocalyptic number.

146962226952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

146962226952 is an abundant number, since it is smaller than the sum of its proper divisors (251069281143).

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

146962226952 is an frugal number, since it uses more digits than its factorization.

146962226952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90370 (or 45184 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The spelling of 146962226952 in words is "one hundred forty-six billion, nine hundred sixty-two million, two hundred twenty-six thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 45179 90358 135537 180716 271074 361432 406611 542148 813222 1084296 1626444 3252888 2041142041 4082284082 6123426123 8164568164 12246852246 16329136328 18370278369 24493704492 36740556738 48987408984 73481113476 146962226952