Search a number
-
+
245027248326 = 23278336763841
BaseRepresentation
bin1110010000110011000…
…0110001100011000110
3212102110100222220020100
43210030300301203012
513003303433421301
6304321452144530
723463001150320
oct3441460614306
9772410886210
10245027248326
1194a08548323
123b5a3168146
131a14ba80993
14bc06204610
156591496286
hex390cc318c6

245027248326 has 96 divisors (see below), whose sum is σ = 615726978048. Its totient is φ = 68974778880.

The previous prime is 245027248321. The next prime is 245027248399. The reversal of 245027248326 is 623842720542.

245027248326 is a `hidden beast` number, since 2 + 4 + 50 + 272 + 4 + 8 + 326 = 666.

It is a super-2 number, since 2×2450272483262 (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 (245027248321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3806166 + ... + 3870006.

It is an arithmetic number, because the mean of its divisors is an integer number (6413822688).

Almost surely, 2245027248326 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245027248326, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307863489024).

245027248326 is an abundant number, since it is smaller than the sum of its proper divisors (370699729722).

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

245027248326 is a wasteful number, since it uses less digits than its factorization.

245027248326 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64306 (or 64303 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

Adding to 245027248326 its reverse (623842720542), we get a palindrome (868869968868).

The spelling of 245027248326 in words is "two hundred forty-five billion, twenty-seven million, two hundred forty-eight thousand, three hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 83 126 166 249 367 498 581 734 747 1101 1162 1494 1743 2202 2569 3303 3486 5138 5229 6606 7707 10458 15414 23121 30461 46242 60922 63841 91383 127682 182766 191523 213227 274149 383046 426454 446887 548298 574569 639681 893774 1149138 1279362 1340661 1919043 2681322 3838086 4021983 5298803 8043966 10597606 15896409 23429647 31792818 37091621 46859294 47689227 70288941 74183242 95378454 111274863 140577882 164007529 210866823 222549726 328015058 333824589 421733646 492022587 667649178 984045174 1476067761 1944660701 2952135522 3889321402 5833982103 11667964206 13612624907 17501946309 27225249814 35003892618 40837874721 81675749442 122513624163 245027248326