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252033414430330 = 2513176129346113841
BaseRepresentation
bin111001010011100100011010…
…001000110111111001111010
31020001101011021222210002221001
4321103210122020313321322
5231013303413043232310
62252010315135035214
7104041545650361151
oct7123443210677172
91201334258702831
10252033414430330
117333a852a482a5
122432592066bb0a
13aa82858b17390
1446346a77ac598
151e20e7a45d93a
hexe5391a237e7a

252033414430330 has 256 divisors, whose sum is σ = 528753050888832. Its totient is φ = 85662203904000.

The previous prime is 252033414430289. The next prime is 252033414430337. The reversal of 252033414430330 is 33034414330252.

It can be written as a sum of positive squares in 64 ways, for example, as 110385260460721 + 141648153969609 = 10506439^2 + 11901603^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 252033414430330.

It is not an unprimeable number, because it can be changed into a prime (252033414430337) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18209184210 + ... + 18209198050.

Almost surely, 2252033414430330 is an apocalyptic number.

252033414430330 is an abundant number, since it is smaller than the sum of its proper divisors (276719636458502).

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

252033414430330 is a wasteful number, since it uses less digits than its factorization.

252033414430330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14693.

The product of its (nonzero) digits is 311040, while the sum is 37.

Adding to 252033414430330 its reverse (33034414330252), we get a palindrome (285067828760582).

The spelling of 252033414430330 in words is "two hundred fifty-two trillion, thirty-three billion, four hundred fourteen million, four hundred thirty thousand, three hundred thirty".