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1163567801344 = 21013225932
BaseRepresentation
bin10000111011101010000…
…010111010010000000000
311010020101001002122211111
4100323222002322100000
5123030441324120334
62250311412053104
7150031203060304
oct20735202722000
94106331078744
101163567801344
11409514765003
12169610604194
1385954750900
1440461b27d04
1520401555064
hex10eea0ba400

1163567801344 has 99 divisors (see below), whose sum is σ = 2519657354043. Its totient is φ = 536824184832.

The previous prime is 1163567801309. The next prime is 1163567801377. The reversal of 1163567801344 is 4431087653611.

It is a happy number.

The square root of 1163567801344 is 1078688.

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 92591186944 + 1070976614400 = 304288^2 + 1034880^2 .

It is a Duffinian number.

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, 448732912 + ... + 448735504.

Almost surely, 21163567801344 is an apocalyptic number.

1163567801344 is the 1078688-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1163567801344

1163567801344 is an abundant number, since it is smaller than the sum of its proper divisors (1356089552699).

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

1163567801344 is an frugal number, since it uses more digits than its factorization.

1163567801344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5232 (or 2608 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 49.

Multiplying 1163567801344 by its sum of digits (49), we get a square (57014822265856 = 75508162).

The spelling of 1163567801344 in words is "one trillion, one hundred sixty-three billion, five hundred sixty-seven million, eight hundred one thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 256 338 416 512 676 832 1024 1352 1664 2593 2704 3328 5186 5408 6656 10372 10816 13312 20744 21632 33709 41488 43264 67418 82976 86528 134836 165952 173056 269672 331904 438217 539344 663808 876434 1078688 1327616 1752868 2157376 2655232 3505736 4314752 6723649 7011472 8629504 13447298 14022944 17259008 26894596 28045888 34518016 53789192 56091776 87407437 107578384 112183552 174814874 215156768 224367104 349629748 430313536 448734208 699259496 860627072 1136296681 1398518992 1721254144 2272593362 2797037984 3442508288 4545186724 5594075968 6885016576 9090373448 11188151936 18180746896 22376303872 36361493792 44752607744 72722987584 89505215488 145445975168 290891950336 581783900672 1163567801344