Search a number
-
+
258286302164 = 221117571604733
BaseRepresentation
bin1111000010001100010…
…0000011001111010100
3220200200102020121202102
43300203010003033110
513212432243132124
6314353255501232
724442401226052
oct3604304031724
9820612217672
10258286302164
119a5a197a760
1242083687818
131b482a15077
14c7031251d2
156aba519aae
hex3c231033d4

258286302164 has 48 divisors (see below), whose sum is σ = 523012666176. Its totient is φ = 110303116800.

The previous prime is 258286302101. The next prime is 258286302167. The reversal of 258286302164 is 461203682852.

It is a happy number.

It is a super-2 number, since 2×2582863021642 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258286302167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124742 + ... + 729474.

It is an arithmetic number, because the mean of its divisors is an integer number (10896097212).

Almost surely, 2258286302164 is an apocalyptic number.

It is an amenable number.

258286302164 is an abundant number, since it is smaller than the sum of its proper divisors (264726364012).

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

258286302164 is a wasteful number, since it uses less digits than its factorization.

258286302164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605336 (or 605334 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 47.

The spelling of 258286302164 in words is "two hundred fifty-eight billion, two hundred eighty-six million, three hundred two thousand, one hundred sixty-four".

Divisors: 1 2 4 11 17 22 34 44 68 187 374 571 748 1142 2284 6281 9707 12562 19414 25124 38828 106777 213554 427108 604733 1209466 2418932 6652063 10280461 13304126 20560922 26608252 41121844 113085071 226170142 345302543 452340284 690605086 1381210172 3798327973 5870143231 7596655946 11740286462 15193311892 23480572924 64571575541 129143151082 258286302164