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19262108944 = 241321721572
BaseRepresentation
bin10001111100000111…
…000111010100010000
31211201102001112000101
4101330013013110100
5303422044441234
612503205502144
71251222140011
oct217407072420
954642045011
1019262108944
118194a5a601
123896a11954
131a7c85c900
14d0a2c7008
1577b0b1814
hex47c1c7510

19262108944 has 135 divisors (see below), whose sum is σ = 43204144077. Its totient is φ = 8313956352.

The previous prime is 19262108941. The next prime is 19262108953. The reversal of 19262108944 is 44980126291.

The square root of 19262108944 is 138788.

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

It can be written as a sum of positive squares in 13 ways, for example, as 15202890000 + 4059218944 = 123300^2 + 63712^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 19262108894 and 19262108903.

It is not an unprimeable number, because it can be changed into a prime (19262108941) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 122688514 + ... + 122688670.

Almost surely, 219262108944 is an apocalyptic number.

19262108944 is the 138788-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19262108944

19262108944 is an abundant number, since it is smaller than the sum of its proper divisors (23942035133).

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

19262108944 is a wasteful number, since it uses less digits than its factorization.

19262108944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 46.

The spelling of 19262108944 in words is "nineteen billion, two hundred sixty-two million, one hundred eight thousand, nine hundred forty-four".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 157 169 208 221 272 289 314 338 442 578 628 676 884 1156 1256 1352 1768 2041 2312 2512 2669 2704 2873 3536 3757 4082 4624 5338 5746 7514 8164 10676 11492 15028 16328 21352 22984 24649 26533 30056 32656 34697 42704 45373 45968 48841 49298 53066 60112 69394 90746 97682 98596 106132 138788 181492 195364 197192 212264 277576 320437 362984 390728 394384 419033 424528 451061 555152 589849 640874 725968 781456 838066 902122 1179698 1281748 1676132 1804244 2359396 2563496 3352264 3608488 4165681 4718792 5126992 5447429 6704528 7123561 7216976 7668037 8331362 9437584 10894858 14247122 15336074 16662724 21789716 28494244 30672148 33325448 43579432 56988488 61344296 66650896 70816577 87158864 92606293 113976976 122688592 141633154 185212586 283266308 370425172 566532616 740850344 1133065232 1203881809 1481700688 2407763618 4815527236 9631054472 19262108944