Search a number
-
+
139379768896 = 2623220292
BaseRepresentation
bin1000000111001110101…
…1100111111001000000
3111022202121121212121211
42001303223213321000
54240422210101041
6144010304055504
713032650326234
oct2016353477100
9438677555554
10139379768896
1154124278355
122301a004594
13101b3231a44
146a630da5c4
15395b559481
hex2073ae7e40

139379768896 has 63 divisors (see below), whose sum is σ = 289272429201. Its totient is φ = 66627035904.

The previous prime is 139379768851. The next prime is 139379768903. The reversal of 139379768896 is 698867973931.

The square root of 139379768896 is 373336.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 138282834496 + 1096934400 = 371864^2 + 33120^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 68692810 + ... + 68694838.

Almost surely, 2139379768896 is an apocalyptic number.

139379768896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

139379768896 is the 373336-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 139379768896

139379768896 is an abundant number, since it is smaller than the sum of its proper divisors (149892660305).

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

139379768896 is an frugal number, since it uses more digits than its factorization.

139379768896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4116 (or 2054 counting only the distinct ones).

The product of its digits is 740710656, while the sum is 76.

The spelling of 139379768896 in words is "one hundred thirty-nine billion, three hundred seventy-nine million, seven hundred sixty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 23 32 46 64 92 184 368 529 736 1058 1472 2029 2116 4058 4232 8116 8464 16232 16928 32464 33856 46667 64928 93334 129856 186668 373336 746672 1073341 1493344 2146682 2986688 4116841 4293364 8233682 8586728 16467364 17173456 32934728 34346912 65869456 68693824 94687343 131738912 189374686 263477824 378749372 757498744 1514997488 2177808889 3029994976 4355617778 6059989952 8711235556 17422471112 34844942224 69689884448 139379768896