Search a number
-
+
248664466842 = 231119375359379
BaseRepresentation
bin1110011110010110001…
…1101010010110011010
3212202211212001202001020
43213211203222112122
513033231100414332
6310122422303310
723652065044041
oct3474543522632
9782755052036
10248664466842
1196504677440
1240239287b36
131a5ab49259c
14c06d2c1558
15670595a82c
hex39e58ea59a

248664466842 has 64 divisors (see below), whose sum is σ = 586530547200. Its totient is φ = 69457538880.

The previous prime is 248664466793. The next prime is 248664466871.

248664466842 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2486644668422 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2633292 + ... + 2726087.

It is an arithmetic number, because the mean of its divisors is an integer number (9164539800).

Almost surely, 2248664466842 is an apocalyptic number.

248664466842 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

248664466842 is an abundant number, since it is smaller than the sum of its proper divisors (337866080358).

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

248664466842 is a wasteful number, since it uses less digits than its factorization.

248664466842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5359451.

The product of its digits is 84934656, while the sum is 60.

The spelling of 248664466842 in words is "two hundred forty-eight billion, six hundred sixty-four million, four hundred sixty-six thousand, eight hundred forty-two".

Divisors: 1 2 3 6 11 19 22 33 37 38 57 66 74 111 114 209 222 407 418 627 703 814 1221 1254 1406 2109 2442 4218 7733 15466 23199 46398 5359379 10718758 16078137 32156274 58953169 101828201 117906338 176859507 198297023 203656402 305484603 353719014 396594046 594891069 610969206 1120110211 1189782138 2181267253 2240220422 3360330633 3767643437 4362534506 6543801759 6720661266 7535286874 11302930311 13087603518 22605860622 41444077807 82888155614 124332233421 248664466842