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9744453796 = 22721126412
BaseRepresentation
bin10010001001101000…
…01001000010100100
3221011002220112122011
421010310021002210
5124424040010141
64250533244004
7463322330200
oct110464110244
927132815564
109744453796
114150543400
121a7b493604
13bc3a854bc
14686241b00
153c0730881
hex244d090a4

9744453796 has 81 divisors (see below), whose sum is σ = 21838291041. Its totient is φ = 3790617600.

The previous prime is 9744453781. The next prime is 9744453809. The reversal of 9744453796 is 6973544479.

The square root of 9744453796 is 98714.

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., 8795813796 + 948640000 = 93786^2 + 30800^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 9744453796.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 15201636 + ... + 15202276.

Almost surely, 29744453796 is an apocalyptic number.

9744453796 is the 98714-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9744453796

9744453796 is an abundant number, since it is smaller than the sum of its proper divisors (12093837245).

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

9744453796 is a wasteful number, since it uses less digits than its factorization.

9744453796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1322 (or 661 counting only the distinct ones).

The product of its digits is 22861440, while the sum is 58.

The cubic root of 9744453796 is about 2135.9241864664.

The spelling of 9744453796 in words is "nine billion, seven hundred forty-four million, four hundred fifty-three thousand, seven hundred ninety-six".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 121 154 196 242 308 484 539 641 847 1078 1282 1694 2156 2564 3388 4487 5929 7051 8974 11858 14102 17948 23716 28204 31409 49357 62818 77561 98714 125636 155122 197428 310244 345499 410881 542927 690998 821762 1085854 1381996 1643524 2171708 2876167 3800489 4519691 5752334 7600978 9039382 11504668 15201956 18078764 20133169 31637837 40266338 49716601 63275674 80532676 99433202 126551348 198866404 221464859 348016207 442929718 696032414 885859436 1392064828 2436113449 4872226898 9744453796