Search a number
-
+
138332746824 = 2339777376871
BaseRepresentation
bin1000000011010101000…
…1100011010001001000
3111020001122110122100120
42000311101203101020
54231301140344244
6143314342503240
712665004642606
oct2006521432110
9436048418316
10138332746824
1153737258158
1222987434b20
131007733ca5c
1469a402c876
1538e968a819
hex2035463448

138332746824 has 64 divisors (see below), whose sum is σ = 349853696640. Its totient is φ = 45575915520.

The previous prime is 138332746787. The next prime is 138332746843. The reversal of 138332746824 is 428647233831.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1761109 + ... + 1837979.

It is an arithmetic number, because the mean of its divisors is an integer number (5466464010).

Almost surely, 2138332746824 is an apocalyptic number.

It is an amenable number.

138332746824 is an abundant number, since it is smaller than the sum of its proper divisors (211520949816).

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

138332746824 is a wasteful number, since it uses less digits than its factorization.

138332746824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77750 (or 77746 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 51.

The spelling of 138332746824 in words is "one hundred thirty-eight billion, three hundred thirty-two million, seven hundred forty-six thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 97 194 291 388 582 773 776 1164 1546 2319 2328 3092 4638 6184 9276 18552 74981 76871 149962 153742 224943 230613 299924 307484 449886 461226 599848 614968 899772 922452 1799544 1844904 7456487 14912974 22369461 29825948 44738922 59421283 59651896 89477844 118842566 178263849 178955688 237685132 356527698 475370264 713055396 1426110792 5763864451 11527728902 17291593353 23055457804 34583186706 46110915608 69166373412 138332746824