Search a number
-
+
138375603996 = 22377920852261
BaseRepresentation
bin1000000011011111010…
…1000010011100011100
3111020011122010000100020
42000313311002130130
54231343123311441
6143322513232140
712666035140620
oct2006765023434
9436148100306
10138375603996
115375946a403
1222999862650
1310083196c26
1469a99c7180
1538ed303e66
hex2037d4271c

138375603996 has 48 divisors (see below), whose sum is σ = 373672535040. Its totient is φ = 39035430720.

The previous prime is 138375603959. The next prime is 138375604001. The reversal of 138375603996 is 699306573831.

It is a super-2 number, since 2×1383756039962 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10419495 + ... + 10432766.

It is an arithmetic number, because the mean of its divisors is an integer number (7784844480).

Almost surely, 2138375603996 is an apocalyptic number.

It is an amenable number.

138375603996 is an abundant number, since it is smaller than the sum of its proper divisors (235296931044).

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

138375603996 is a wasteful number, since it uses less digits than its factorization.

138375603996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20852354 (or 20852352 counting only the distinct ones).

The product of its (nonzero) digits is 22044960, while the sum is 60.

It can be divided in two parts, 138375 and 603996, that added together give a triangular number (742371 = T1218).

The spelling of 138375603996 in words is "one hundred thirty-eight billion, three hundred seventy-five million, six hundred three thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 79 84 158 237 316 474 553 948 1106 1659 2212 3318 6636 20852261 41704522 62556783 83409044 125113566 145965827 250227132 291931654 437897481 583863308 875794962 1647328619 1751589924 3294657238 4941985857 6589314476 9883971714 11531300333 19767943428 23062600666 34593900999 46125201332 69187801998 138375603996