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148596372324 = 223241215672
BaseRepresentation
bin1000101001100100001…
…0001011001101100100
3112012112221021211200100
42022121002023031210
54413311132403244
6152133023544100
713510233216201
oct2123102131544
9465487254610
10148596372324
1158023861984
122497075b030
131102183073a
1472991b6ca8
153cea76eb69
hex229908b364

148596372324 has 81 divisors (see below), whose sum is σ = 385249338201. Its totient is φ = 48293184960.

The previous prime is 148596372317. The next prime is 148596372341. The reversal of 148596372324 is 423273695841.

The square root of 148596372324 is 385482.

It is a perfect power (a square), and thus also a powerful number.

148596372324 is a `hidden beast` number, since 1 + 4 + 8 + 596 + 3 + 7 + 23 + 24 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7160205924 + 141436166400 = 84618^2 + 376080^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 94827789 + ... + 94829355.

Almost surely, 2148596372324 is an apocalyptic number.

148596372324 is the 385482-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148596372324

148596372324 is an abundant number, since it is smaller than the sum of its proper divisors (236652965877).

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

148596372324 is an equidigital number, since it uses as much as digits as its factorization.

148596372324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3226 (or 1613 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 148596372324 in words is "one hundred forty-eight billion, five hundred ninety-six million, three hundred seventy-two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476 1567 1681 3134 3362 4701 5043 6268 6724 9402 10086 14103 15129 18804 20172 28206 30258 56412 60516 64247 128494 192741 256988 385482 578223 770964 1156446 2312892 2455489 2634127 4910978 5268254 7366467 7902381 9821956 10536508 14732934 15804762 22099401 23707143 29465868 31609524 44198802 47414286 88397604 94828572 100675049 201350098 302025147 402700196 604050294 906075441 1208100588 1812150882 3624301764 4127677009 8255354018 12383031027 16510708036 24766062054 37149093081 49532124108 74298186162 148596372324