Search a number
-
+
502505016342 = 23797317389099
BaseRepresentation
bin1110100111111111010…
…00100000110000010110
31210001001102211201122120
413103333220200300112
531213112241010332
61022503030240410
751206354110110
oct7237750406026
91701042751576
10502505016342
11184124a8833a
128147bab6106
1338503115574
141a46dbbc3b0
15d110a0032c
hex74ffa20c16

502505016342 has 64 divisors (see below), whose sum is σ = 1164087590400. Its totient is φ = 141644123136.

The previous prime is 502505016323. The next prime is 502505016359. The reversal of 502505016342 is 243610505205.

It is a super-2 number, since 2×5025050163422 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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, 1096909 + ... + 1486007.

It is an arithmetic number, because the mean of its divisors is an integer number (18188868600).

Almost surely, 2502505016342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 502505016342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582043795200).

502505016342 is an abundant number, since it is smaller than the sum of its proper divisors (661582574058).

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

502505016342 is a wasteful number, since it uses less digits than its factorization.

502505016342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389525.

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

The spelling of 502505016342 in words is "five hundred two billion, five hundred five million, sixteen thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 97 194 291 317 582 634 679 951 1358 1902 2037 2219 4074 4438 6657 13314 30749 61498 92247 184494 215243 389099 430486 645729 778198 1167297 1291458 2334594 2723693 5447386 8171079 16342158 37742603 75485206 113227809 123344383 226455618 246688766 264198221 370033149 528396442 740066298 792594663 863410681 1585189326 1726821362 2590232043 5180464086 11964405151 23928810302 35893215453 71786430906 83750836057 167501672114 251252508171 502505016342