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195509002896 = 2432368472
BaseRepresentation
bin1011011000010100111…
…1101010001010010000
3200200122100200101122100
42312011033222022100
511200400301043041
6225452100240400
720060616050664
oct2660517521220
9620570611570
10195509002896
1175a0780a649
1231a836a0100
1315589a7843c
14966987a8a4
1551440636b6
hex2d853ea290

195509002896 has 45 divisors (see below), whose sum is σ = 547168517571. Its totient is φ = 65167898976.

The previous prime is 195509002859. The next prime is 195509002963. The reversal of 195509002896 is 698200905591.

The square root of 195509002896 is 442164.

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

195509002896 is a `hidden beast` number, since 1 + 9 + 550 + 9 + 0 + 0 + 2 + 89 + 6 = 666.

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, 5287545 + ... + 5324391.

Almost surely, 2195509002896 is an apocalyptic number.

195509002896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

195509002896 is the 442164-th square number.

It is an amenable number.

195509002896 is an abundant number, since it is smaller than the sum of its proper divisors (351659514675).

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

195509002896 is an frugal number, since it uses more digits than its factorization.

195509002896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73708 (or 36852 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 54.

The spelling of 195509002896 in words is "one hundred ninety-five billion, five hundred nine million, two thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 36847 73694 110541 147388 221082 294776 331623 442164 589552 663246 884328 1326492 1768656 2652984 5305968 1357701409 2715402818 4073104227 5430805636 8146208454 10861611272 12219312681 16292416908 21723222544 24438625362 32584833816 48877250724 65169667632 97754501448 195509002896