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195109490944 = 2819214532
BaseRepresentation
bin1011010110110101101…
…1101001000100000000
3200122121111221002021101
42311231123221010000
511144041012202234
6225344305304144
720044665211054
oct2655533510400
9618544832241
10195109490944
1175822248385
1231991935054
1315525078034
14962c7a1c64
15511de49814
hex2d6d6e9100

195109490944 has 81 divisors (see below), whose sum is σ = 411316472133. Its totient is φ = 92356678656.

The previous prime is 195109490893. The next prime is 195109490951. The reversal of 195109490944 is 449094901591.

The square root of 195109490944 is 441712.

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., 190305337600 + 4804153344 = 436240^2 + 69312^2 .

It is a super-2 number, since 2×1951094909442 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 134279722 + ... + 134281174.

Almost surely, 2195109490944 is an apocalyptic number.

195109490944 is the 441712-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 195109490944

195109490944 is an abundant number, since it is smaller than the sum of its proper divisors (216206981189).

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

195109490944 is an frugal number, since it uses more digits than its factorization.

195109490944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2960 (or 1474 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 55.

The spelling of 195109490944 in words is "one hundred ninety-five billion, one hundred nine million, four hundred ninety thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 361 608 722 1216 1444 1453 2432 2888 2906 4864 5776 5812 11552 11624 23104 23248 27607 46208 46496 55214 92416 92992 110428 185984 220856 371968 441712 524533 883424 1049066 1766848 2098132 2111209 3533696 4196264 4222418 7067392 8392528 8444836 16785056 16889672 33570112 33779344 40112971 67140224 67558688 80225942 134280448 135117376 160451884 270234752 320903768 540469504 641807536 762146449 1283615072 1524292898 2567230144 3048585796 5134460288 6097171592 10268920576 12194343184 24388686368 48777372736 97554745472 195109490944