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9984323400804 = 22325266332
BaseRepresentation
bin1001000101001010100000…
…0011001011010001100100
31022100111021122221111112100
42101102220003023101210
52302040343242311204
633122422421052100
72050225561425414
oct221225003132144
938314248844470
109984323400804
1131aa3672a6015
121153041857030
135756963a441c
1426735b102644
15124aada2ea39
hex914a80cb464

9984323400804 has 27 divisors (see below), whose sum is σ = 25238198742393. Its totient is φ = 3328101480672.

The previous prime is 9984323400697. The next prime is 9984323400839. The reversal of 9984323400804 is 4080043234899.

The square root of 9984323400804 is 3159798.

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

9984323400804 is a `hidden beast` number, since 9 + 98 + 432 + 3 + 40 + 0 + 80 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9055705932900 + 928617467904 = 3009270^2 + 963648^2 .

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, 18695472 + ... + 19222104.

Almost surely, 29984323400804 is an apocalyptic number.

9984323400804 is the 3159798-th square number.

It is an amenable number.

9984323400804 is an abundant number, since it is smaller than the sum of its proper divisors (15253875341589).

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

9984323400804 is an frugal number, since it uses more digits than its factorization.

9984323400804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1053276 (or 526638 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 9984323400804 in words is "nine trillion, nine hundred eighty-four billion, three hundred twenty-three million, four hundred thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 526633 1053266 1579899 2106532 3159798 4739697 6319596 9479394 18958788 277342316689 554684633378 832026950067 1109369266756 1664053900134 2496080850201 3328107800268 4992161700402 9984323400804