Search a number
-
+
12612061526352 = 243398029660131
BaseRepresentation
bin1011011110000111100101…
…1100100111100101010000
31122122200221020211011220220
42313201321130213211100
53123114000222320402
642453522344433040
72441122433106261
oct267417134474520
948580836734826
1012612061526352
114022821a326a2
1214b8375a78780
1370640a174522
143185d9ad8968
1516d106b13dbc
hexb7879727950

12612061526352 has 40 divisors (see below), whose sum is σ = 32581290155040. Its totient is φ = 4204003578240.

The previous prime is 12612061526221. The next prime is 12612061526357. The reversal of 12612061526352 is 25362516021621.

It is a super-3 number, since 3×126120615263523 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12612061526357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18775327 + ... + 19435457.

It is an arithmetic number, because the mean of its divisors is an integer number (814532253876).

Almost surely, 212612061526352 is an apocalyptic number.

12612061526352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12612061526352 is an abundant number, since it is smaller than the sum of its proper divisors (19969228628688).

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

12612061526352 is a wasteful number, since it uses less digits than its factorization.

12612061526352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058171 (or 1058165 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

Adding to 12612061526352 its reverse (25362516021621), we get a palindrome (37974577547973).

The spelling of 12612061526352 in words is "twelve trillion, six hundred twelve billion, sixty-one million, five hundred twenty-six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 398029 660131 796058 1194087 1320262 1592116 1980393 2388174 2640524 3184232 3960786 4776348 5281048 6368464 7921572 9552696 10562096 15843144 19105392 31686288 262751281799 525502563598 788253845397 1051005127196 1576507690794 2102010254392 3153015381588 4204020508784 6306030763176 12612061526352