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1899810128896 = 21019222672
BaseRepresentation
bin11011101001010101100…
…000100000010000000000
320201121202000221001112021
4123221111200200100000
5222111302343111041
64012432152211224
7254154031436341
oct33512540402000
96647660831467
101899810128896
11672783320819
12268242699b14
1310a1c7605a84
1467d465260c8
1534642289cd1
hex1ba55820400

1899810128896 has 99 divisors (see below), whose sum is σ = 4009936295199. Its totient is φ = 899513100288.

The previous prime is 1899810128771. The next prime is 1899810128897. The reversal of 1899810128896 is 6988210189981.

The square root of 1899810128896 is 1378336.

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

It is a super-2 number, since 2×18998101288962 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1899810128897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 838027155 + ... + 838029421.

Almost surely, 21899810128896 is an apocalyptic number.

1899810128896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1899810128896 is the 1378336-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1899810128896

1899810128896 is an abundant number, since it is smaller than the sum of its proper divisors (2110126166303).

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

1899810128896 is an frugal number, since it uses more digits than its factorization.

1899810128896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4592 (or 2288 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 70.

The spelling of 1899810128896 in words is "one trillion, eight hundred ninety-nine billion, eight hundred ten million, one hundred twenty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 361 512 608 722 1024 1216 1444 2267 2432 2888 4534 4864 5776 9068 9728 11552 18136 19456 23104 36272 43073 46208 72544 86146 92416 145088 172292 184832 290176 344584 369664 580352 689168 818387 1160704 1378336 1636774 2321408 2756672 3273548 5139289 5513344 6547096 10278578 11026688 13094192 20557156 22053376 26188384 41114312 44106752 52376768 82228624 97646491 104753536 164457248 195292982 209507072 328914496 390585964 419014144 657828992 781171928 838028288 1315657984 1562343856 1855283329 2631315968 3124687712 3710566658 5262631936 6249375424 7421133316 12498750848 14842266632 24997501696 29684533264 49995003392 59369066528 99990006784 118738133056 237476266112 474952532224 949905064448 1899810128896