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996059888784 = 243692412
BaseRepresentation
bin11100111111010011100…
…10111011110010010000
310112020000010102001000000
432133221302323302100
5112304412312420114
62041330020130000
7131651202234222
oct16375162736220
93466003361000
10996059888784
11354476927034
12141062536900
1372c0abb559c
14362d1042412
151ad9a8c0e09
hexe7e9cbbc90

996059888784 has 105 divisors (see below), whose sum is σ = 2893788559209. Its totient is φ = 331984033920.

The previous prime is 996059888773. The next prime is 996059888827. The reversal of 996059888784 is 487888950699.

The square root of 996059888784 is 998028.

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., 985310346384 + 10749542400 = 992628^2 + 103680^2 .

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 107782404 + ... + 107791644.

Almost surely, 2996059888784 is an apocalyptic number.

996059888784 is the 998028-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 996059888784

996059888784 is an abundant number, since it is smaller than the sum of its proper divisors (1897728670425).

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

996059888784 is an frugal number, since it uses more digits than its factorization.

996059888784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18508 (or 9246 counting only the distinct ones).

The product of its (nonzero) digits is 2508226560, while the sum is 81.

Multiplying 996059888784 by its sum of digits (81), we get a square (80680850991504 = 89822522).

996059888784 divided by its sum of digits (81) gives a square (12297035664 = 1108922).

The spelling of 996059888784 in words is "nine hundred ninety-six billion, fifty-nine million, eight hundred eighty-eight thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1944 2916 3888 5832 9241 11664 18482 27723 36964 55446 73928 83169 110892 147856 166338 221784 249507 332676 443568 499014 665352 748521 998028 1330704 1497042 1996056 2245563 2994084 3992112 4491126 5988168 6736689 8982252 11976336 13473378 17964504 26946756 35929008 53893512 85396081 107787024 170792162 256188243 341584324 512376486 683168648 768564729 1024752972 1366337296 1537129458 2049505944 2305694187 3074258916 4099011888 4611388374 6148517832 6917082561 9222776748 12297035664 13834165122 18445553496 20751247683 27668330244 36891106992 41502495366 55336660488 62253743049 83004990732 110673320976 124507486098 166009981464 249014972196 332019962928 498029944392 996059888784