Search a number
-
+
264152266346043 = 32271881138189017
BaseRepresentation
bin111100000011111010111110…
…000000001000111000111011
31021122021201011121201002122200
4330003322332000020320323
5234110332320141033133
62333445513110121243
7106432241260124445
oct7403727600107073
91248251147632580
10264152266346043
117719238aa0a529
122576258b650223
13b4515b48a61ba
144933076039495
152081317651913
hexf03ebe008e3b

264152266346043 has 48 divisors (see below), whose sum is σ = 383677840570752. Its totient is φ = 175123669248000.

The previous prime is 264152266346039. The next prime is 264152266346141. The reversal of 264152266346043 is 340643662251462.

264152266346043 is a `hidden beast` number, since 2 + 6 + 4 + 1 + 5 + 2 + 26 + 6 + 3 + 4 + 604 + 3 = 666.

264152266346043 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 264152266346043 - 22 = 264152266346039 is a prime.

It is not an unprimeable number, because it can be changed into a prime (264152266346743) 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, 2967391671 + ... + 2967480687.

It is an arithmetic number, because the mean of its divisors is an integer number (7993288345224).

Almost surely, 2264152266346043 is an apocalyptic number.

264152266346043 is a deficient number, since it is larger than the sum of its proper divisors (119525574224709).

264152266346043 is a wasteful number, since it uses less digits than its factorization.

264152266346043 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91556 (or 91553 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 54.

The spelling of 264152266346043 in words is "two hundred sixty-four trillion, one hundred fifty-two billion, two hundred sixty-six million, three hundred forty-six thousand, forty-three".

Divisors: 1 3 9 271 813 881 1381 2439 2643 4143 7929 12429 89017 238751 267051 374251 716253 801153 1122753 1216661 2148759 3368259 3649983 10949949 24123607 72370821 78423977 122932477 217112463 235271931 329715131 368797431 705815793 989145393 1106392293 2967436179 21252897767 33314701267 63758693301 99944103801 108303512237 191276079903 299832311403 324910536711 974731610133 29350251816227 88050755448681 264152266346043