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252031133232 = 2434194468467
BaseRepresentation
bin1110101010111000111…
…0011110011000110000
3220002112111001010010000
43222232032132120300
513112124432230412
6311440445510000
724131365166664
oct3525616363060
9802474033100
10252031133232
119798200575a
1240a18872300
131a9c6b16c88
14c2ac4928a4
1568512cb4dc
hex3aae39e630

252031133232 has 50 divisors (see below), whose sum is σ = 729451223468. Its totient is φ = 84010377312.

The previous prime is 252031133201. The next prime is 252031133279. The reversal of 252031133232 is 232331130252.

It is a happy number.

252031133232 is a `hidden beast` number, since 2 + 5 + 20 + 311 + 3 + 323 + 2 = 666.

It is a super-2 number, since 2×2520311332322 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 252031133196 and 252031133205.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 97232938 + ... + 97235529.

Almost surely, 2252031133232 is an apocalyptic number.

It is an amenable number.

252031133232 is an abundant number, since it is smaller than the sum of its proper divisors (477420090236).

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

252031133232 is a wasteful number, since it uses less digits than its factorization.

252031133232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194468487 (or 194468472 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 252031133232 its reverse (232331130252), we get a palindrome (484362263484).

The spelling of 252031133232 in words is "two hundred fifty-two billion, thirty-one million, one hundred thirty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 194468467 388936934 583405401 777873868 1166810802 1555747736 1750216203 2333621604 3111495472 3500432406 4667243208 5250648609 7000864812 9334486416 10501297218 14001729624 15751945827 21002594436 28003459248 31503891654 42005188872 63007783308 84010377744 126015566616 252031133232