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252115520334 = 233710061112877
BaseRepresentation
bin1110101011001101000…
…0011000101101001110
3220002202100211102110020
43222303100120231032
513112313033122314
6311453102323010
724133441364346
oct3526320305516
9802670742406
10252115520334
1197a15702a67
1240a40b89466
131aa0b452182
14c2b977bd26
1568588e9da9
hex3ab3418b4e

252115520334 has 32 divisors (see below), whose sum is σ = 517914966816. Its totient is φ = 81758344320.

The previous prime is 252115520333. The next prime is 252115520341. The reversal of 252115520334 is 433025511252.

252115520334 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 252115520295 and 252115520304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252115520333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2177104 + ... + 2289980.

It is an arithmetic number, because the mean of its divisors is an integer number (16184842713).

Almost surely, 2252115520334 is an apocalyptic number.

252115520334 is an abundant number, since it is smaller than the sum of its proper divisors (265799446482).

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

252115520334 is a wasteful number, since it uses less digits than its factorization.

252115520334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122980.

The product of its (nonzero) digits is 36000, while the sum is 33.

The spelling of 252115520334 in words is "two hundred fifty-two billion, one hundred fifteen million, five hundred twenty thousand, three hundred thirty-four".

Divisors: 1 2 3 6 37 74 111 222 10061 20122 30183 60366 112877 225754 338631 372257 677262 744514 1116771 2233542 4176449 8352898 12529347 25058694 1135655497 2271310994 3406966491 6813932982 42019253389 84038506778 126057760167 252115520334