Search a number
-
+
274527424725472 = 25232912862042013
BaseRepresentation
bin111110011010111001100101…
…101000011100000111100000
31100000000120021020121122101201
4332122321211220130013200
5241440324131212203342
62411512054033210544
7111552644335221232
oct7632714550340740
91300016236548351
10274527424725472
117a522477384706
1226959307100a54
13ba24a958aa489
144bb12ac010252
1521b114d152db7
hexf9ae65a1c1e0

274527424725472 has 48 divisors (see below), whose sum is σ = 583422225755040. Its totient is φ = 126768286070272.

The previous prime is 274527424725439. The next prime is 274527424725523.

274527424725472 is nontrivially palindromic in base 10.

274527424725472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6430999663 + ... + 6431042350.

It is an arithmetic number, because the mean of its divisors is an integer number (12154629703230).

Almost surely, 2274527424725472 is an apocalyptic number.

It is an amenable number.

274527424725472 is an abundant number, since it is smaller than the sum of its proper divisors (308894801029568).

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

274527424725472 is a wasteful number, since it uses less digits than its factorization.

274527424725472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12862042075 (or 12862042067 counting only the distinct ones).

The product of its digits is 491724800, while the sum is 64.

The spelling of 274527424725472 in words is "two hundred seventy-four trillion, five hundred twenty-seven billion, four hundred twenty-four million, seven hundred twenty-five thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 23 29 32 46 58 92 116 184 232 368 464 667 736 928 1334 2668 5336 10672 21344 12862042013 25724084026 51448168052 102896336104 205792672208 295826966299 372999218377 411585344416 591653932598 745998436754 1183307865196 1491996873508 2366615730392 2983993747016 4733231460784 5967987494032 8578982022671 9466462921568 11935974988064 17157964045342 34315928090684 68631856181368 137263712362736 274527424725472