Search a number
-
+
1898299772944 = 24532672972
BaseRepresentation
bin11011100111111011011…
…110111101000000010000
320201110211202221000122221
4123213323132331000100
5222100204220213234
64012022240110424
7254101431560251
oct33477336750020
96643752830587
101898299772944
11672078807a63
12267aa0905414
1310a016728c23
1467c41ac8b28
15345a4896eb4
hex1b9fb7bd010

1898299772944 has 135 divisors (see below), whose sum is σ = 3845081631447. Its totient is φ = 907885135872.

The previous prime is 1898299772939. The next prime is 1898299772977. The reversal of 1898299772944 is 4492779928981.

The square root of 1898299772944 is 1377788.

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 59346806544 + 1838952966400 = 243612^2 + 1356080^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 19570100704 + ... + 19570100800.

Almost surely, 21898299772944 is an apocalyptic number.

1898299772944 is the 1377788-th square number.

It is an amenable number.

1898299772944 is an abundant number, since it is smaller than the sum of its proper divisors (1946781858503).

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

1898299772944 is an frugal number, since it uses more digits than its factorization.

1898299772944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 219 counting only the distinct ones).

The product of its digits is 1316818944, while the sum is 79.

The spelling of 1898299772944 in words is "one trillion, eight hundred ninety-eight billion, two hundred ninety-nine million, seven hundred seventy-two thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 53 67 97 106 134 194 212 268 388 424 536 776 848 1072 1552 2809 3551 4489 5141 5618 6499 7102 8978 9409 10282 11236 12998 14204 17956 18818 20564 22472 25996 28408 35912 37636 41128 44944 51992 56816 71824 75272 82256 103984 150544 188203 237917 272473 344447 376406 435433 475834 498677 544946 630403 688894 752812 870866 951668 997354 1089892 1260806 1377788 1505624 1741732 1903336 1994708 2179784 2521612 2755576 3011248 3483464 3806672 3989416 4359568 5043224 5511152 6966928 7978832 10086448 12609601 18255691 23077949 25219202 26429881 33411359 36511382 42237001 46155898 50438404 52859762 66822718 73022764 84474002 92311796 100876808 105719524 133645436 146045528 168948004 184623592 201753616 211439048 267290872 292091056 337896008 369247184 422878096 534581744 675792016 1223131297 1770802027 2238561053 2446262594 3541604054 4477122106 4892525188 7083208108 8954244212 9785050376 14166416216 17908488424 19570100752 28332832432 35816976848 118643735809 237287471618 474574943236 949149886472 1898299772944