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146052683325 = 32522922383553
BaseRepresentation
bin1000100000000101101…
…0110001011000111101
3111221222122220001100200
42020001122301120331
54343103441331300
6151032355514113
713360215216243
oct2100132613075
9457878801320
10146052683325
1156a38a2876a
12243808b8939
1310a07845613
1470d7432793
153bec2b4200
hex22016b163d

146052683325 has 36 divisors (see below), whose sum is σ = 270617167860. Its totient is φ = 75208734720.

The previous prime is 146052683291. The next prime is 146052683339. The reversal of 146052683325 is 523386250641.

146052683325 is a `hidden beast` number, since 1 + 4 + 60 + 5 + 268 + 3 + 325 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 22178953476 + 123873729849 = 148926^2 + 351957^2 .

It is not a de Polignac number, because 146052683325 - 29 = 146052682813 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11185252 + ... + 11198301.

Almost surely, 2146052683325 is an apocalyptic number.

146052683325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

146052683325 is a deficient number, since it is larger than the sum of its proper divisors (124564484535).

146052683325 is a wasteful number, since it uses less digits than its factorization.

146052683325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22383598 (or 22383590 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 146052683325 in words is "one hundred forty-six billion, fifty-two million, six hundred eighty-three thousand, three hundred twenty-five".

Divisors: 1 3 5 9 15 25 29 45 75 87 145 225 261 435 725 1305 2175 6525 22383553 67150659 111917765 201451977 335753295 559588825 649123037 1007259885 1678766475 1947369111 3245615185 5036299425 5842107333 9736845555 16228075925 29210536665 48684227775 146052683325