Search a number
-
+
268010042307228 = 2232134495491273879
BaseRepresentation
bin111100111100000011110011…
…010111100011001010011100
31022010221111202122210001010200
4330330003303113203022130
5240112034031312312403
62350002040321303500
7110311041456552234
oct7474036327431234
91263844678701120
10268010042307228
117843a469969751
1226086184a94b90
13b671314112740
144a27a80612cc4
1520eb852520ca3
hexf3c0f35e329c

268010042307228 has 72 divisors (see below), whose sum is σ = 729585088596000. Its totient is φ = 82464380228736.

The previous prime is 268010042307223. The next prime is 268010042307281. The reversal of 268010042307228 is 822703240010862.

268010042307228 is a `hidden beast` number, since 2 + 6 + 80 + 1 + 0 + 0 + 42 + 307 + 228 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268010042307223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 209751993 + ... + 211025871.

It is an arithmetic number, because the mean of its divisors is an integer number (10133126230500).

Almost surely, 2268010042307228 is an apocalyptic number.

It is an amenable number.

268010042307228 is an abundant number, since it is smaller than the sum of its proper divisors (461575046288772).

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

268010042307228 is a wasteful number, since it uses less digits than its factorization.

268010042307228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1723451 (or 1723446 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 268010042307228 in words is "two hundred sixty-eight trillion, ten billion, forty-two million, three hundred seven thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 449549 899098 1273879 1348647 1798196 2547758 2697294 3821637 4045941 5095516 5394588 5844137 7643274 8091882 11464911 11688274 15286548 16183764 16560427 17532411 22929822 23376548 33120854 35064822 45859644 49681281 52597233 66241708 70129644 99362562 105194466 149043843 198725124 210388932 298087686 596175372 572671030571 1145342061142 1718013091713 2290684122284 3436026183426 5154039275139 6872052366852 7444723397423 10308078550278 14889446794846 20616157100556 22334170192269 29778893589692 44668340384538 67002510576807 89336680769076 134005021153614 268010042307228