Search a number
-
+
978223858704 = 2432824212
BaseRepresentation
bin11100011110000101010…
…11111000010000010000
310110111222002202211102100
432033002223320100100
5112011400301434304
62025220112120400
7130450204414431
oct16170253702020
93414862684370
10978223858704
11347953958704
12139705236100
1371327935731
14354bc2d9488
151a6a4b06439
hexe3c2af8410

978223858704 has 45 divisors (see below), whose sum is σ = 2737701376189. Its totient is φ = 326070663360.

The previous prime is 978223858649. The next prime is 978223858721. The reversal of 978223858704 is 407858322879.

The square root of 978223858704 is 989052.

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., 948777298704 + 29446560000 = 974052^2 + 171600^2 .

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 11827414 + ... + 11909834.

Almost surely, 2978223858704 is an apocalyptic number.

978223858704 is the 989052-nd square number.

It is an amenable number.

978223858704 is an abundant number, since it is smaller than the sum of its proper divisors (1759477517485).

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

978223858704 is an frugal number, since it uses more digits than its factorization.

978223858704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164856 (or 82426 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 978223858704 in words is "nine hundred seventy-eight billion, two hundred twenty-three million, eight hundred fifty-eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 82421 164842 247263 329684 494526 659368 741789 989052 1318736 1483578 1978104 2967156 3956208 5934312 11868624 6793221241 13586442482 20379663723 27172884964 40759327446 54345769928 61138991169 81518654892 108691539856 122277982338 163037309784 244555964676 326074619568 489111929352 978223858704