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9988204009744 = 24233233912
BaseRepresentation
bin1001000101011000111101…
…0110100001100100010000
31022100212022002222212020101
42101112033112201210100
52302121320211302434
633124303444022144
72050424002155202
oct221261726414420
938325262885211
109988204009744
113200a78853a44
121153945391954
13575b6435312c
14267608658772
15124c3956eb14
hex9158f5a1910

9988204009744 has 45 divisors (see below), whose sum is σ = 19441291354149. Its totient is φ = 4971201659520.

The previous prime is 9988204009669. The next prime is 9988204009747. The reversal of 9988204009744 is 4479004028899.

The square root of 9988204009744 is 3160412.

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., 2028402608400 + 7959801401344 = 1424220^2 + 2821312^2 .

It is a super-2 number, since 2×99882040097442 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9988204009747) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2945502289 + ... + 2945505679.

Almost surely, 29988204009744 is an apocalyptic number.

9988204009744 is the 3160412-nd square number.

It is an amenable number.

9988204009744 is a deficient number, since it is larger than the sum of its proper divisors (9453087344405).

9988204009744 is an frugal number, since it uses more digits than its factorization.

9988204009744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7256 (or 3626 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 64.

Multiplying 9988204009744 by its sum of digits (64), we get a square (639245056623616 = 252832962).

The spelling of 9988204009744 in words is "nine trillion, nine hundred eighty-eight billion, two hundred four million, nine thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 233 466 932 1864 3391 3728 6782 13564 27128 54256 54289 108578 217156 434312 790103 868624 1580206 3160412 6320824 11498881 12641648 22997762 45995524 91991048 183982096 184093999 368187998 736375996 1472751992 2679239273 2945503984 5358478546 10716957092 21433914184 42867828368 624262750609 1248525501218 2497051002436 4994102004872 9988204009744