Search a number
-
+
6924139653376 = 28112149512
BaseRepresentation
bin110010011000010011011…
…1000100110100100000000
3220111221102012100002020201
41210300212320212210000
51401421114222402001
622420523355014544
71313152430646661
oct144604670464400
926457365302221
106924139653376
11222a569360100
12939b4043a454
133b2c3603086a
1419d1b71a5368
15c01a588e501
hex64c26e26900

6924139653376 has 81 divisors (see below), whose sum is σ = 15192948751939. Its totient is φ = 3147125696000.

The previous prime is 6924139653323. The next prime is 6924139653391. The reversal of 6924139653376 is 6733569314296.

It is a happy number.

The square root of 6924139653376 is 2631376.

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

It is a Harshad number since it is a multiple of its sum of digits (64).

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, 463114701 + ... + 463129651.

Almost surely, 26924139653376 is an apocalyptic number.

6924139653376 is the 2631376-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6924139653376

6924139653376 is an abundant number, since it is smaller than the sum of its proper divisors (8268809098563).

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

6924139653376 is an frugal number, since it uses more digits than its factorization.

6924139653376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29940 (or 14964 counting only the distinct ones).

The product of its digits is 132269760, while the sum is 64.

Multiplying 6924139653376 by its sum of digits (64), we get a square (443144937816064 = 210510082).

6924139653376 divided by its sum of digits (64) gives a square (108189682084 = 3289222).

The spelling of 6924139653376 in words is "six trillion, nine hundred twenty-four billion, one hundred thirty-nine million, six hundred fifty-three thousand, three hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 704 968 1408 1936 2816 3872 7744 14951 15488 29902 30976 59804 119608 164461 239216 328922 478432 657844 956864 1315688 1809071 1913728 2631376 3618142 3827456 5262752 7236284 10525504 14472568 21051008 28945136 42102016 57890272 115780544 223532401 231561088 447064802 463122176 894129604 1788259208 2458856411 3576518416 4917712822 7153036832 9835425644 14306073664 19670851288 27047420521 28612147328 39341702576 54094841042 57224294656 78683405152 108189682084 157366810304 216379364168 314733620608 432758728336 629467241216 865517456672 1731034913344 3462069826688 6924139653376