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198415011844 = 2272318172
BaseRepresentation
bin1011100011001001110…
…1001101000000000100
3200222010212211221111101
42320302131031000010
511222323220334334
6231052310145444
720222623526200
oct2706235150004
9628125757441
10198415011844
1177169113135
1232554952284
1315930b4126a
1498637b7b00
15526423d214
hex2e3274d004

198415011844 has 27 divisors (see below), whose sum is σ = 403928969493. Its totient is φ = 85032332448.

The previous prime is 198415011833. The next prime is 198415011863. The reversal of 198415011844 is 448110514891.

The square root of 198415011844 is 445438.

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., 177991172100 + 20423839744 = 421890^2 + 142912^2 .

It is a junction number, because it is equal to n+sod(n) for n = 198415011794 and 198415011803.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6220224 + ... + 6252040.

Almost surely, 2198415011844 is an apocalyptic number.

198415011844 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

198415011844 is the 445438-th square number.

It is an amenable number.

198415011844 is an abundant number, since it is smaller than the sum of its proper divisors (205513957649).

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

198415011844 is an frugal number, since it uses more digits than its factorization.

198415011844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63652 (or 31826 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 46.

The spelling of 198415011844 in words is "one hundred ninety-eight billion, four hundred fifteen million, eleven thousand, eight hundred forty-four".

Divisors: 1 2 4 7 14 28 49 98 196 31817 63634 127268 222719 445438 890876 1559033 3118066 6236132 1012321489 2024642978 4049285956 7086250423 14172500846 28345001692 49603752961 99207505922 198415011844