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980618828644 = 227213254412
BaseRepresentation
bin11100100010100010110…
…11111101101101100100
310110202011000022220112201
432101101123331231210
5112031301410004034
62030253504424244
7130563435341200
oct16212133755544
93422130286481
10980618828644
11348972845004
1213a073318084
1371619b7ca00
1435668409b00
151a794ed7014
hexe4516fdb64

980618828644 has 81 divisors (see below), whose sum is σ = 2162027747691. Its totient is φ = 387865820160.

The previous prime is 980618828633. The next prime is 980618828711. The reversal of 980618828644 is 446828816089.

It is a happy number.

The square root of 980618828644 is 990262.

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

It can be written as a sum of positive squares in 4 ways, for example, as 23180062500 + 957438766144 = 152250^2 + 978488^2 .

It is a super-2 number, since 2×9806188286442 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 180224964 + ... + 180230404.

Almost surely, 2980618828644 is an apocalyptic number.

980618828644 is the 990262-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 980618828644

980618828644 is an abundant number, since it is smaller than the sum of its proper divisors (1181408919047).

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

980618828644 is an equidigital number, since it uses as much as digits as its factorization.

980618828644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10926 (or 5463 counting only the distinct ones).

The product of its (nonzero) digits is 42467328, while the sum is 64.

Multiplying 980618828644 by its sum of digits (64), we get a square (62759605033216 = 79220962).

The spelling of 980618828644 in words is "nine hundred eighty billion, six hundred eighteen million, eight hundred twenty-eight thousand, six hundred forty-four".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 169 182 196 338 364 637 676 1183 1274 2366 2548 4732 5441 8281 10882 16562 21764 33124 38087 70733 76174 141466 152348 266609 282932 495131 533218 919529 990262 1066436 1839058 1980524 3465917 3678116 6436703 6931834 12873406 13863668 25746812 29604481 45056921 59208962 90113842 118417924 180227684 207231367 384858253 414462734 769716506 828925468 1450619569 1539433012 2694007771 2901239138 5003157289 5388015542 5802478276 10006314578 10776031084 18858054397 20012629156 35022101023 37716108794 70044202046 75432217588 140088404092 245154707161 490309414322 980618828644