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199690120125 = 345344412
BaseRepresentation
bin1011100111111001110…
…1010110101110111101
3201002102202012011020000
42321332131112232331
511232431132321000
6231423020144513
720266336005066
oct2717635265675
9632382164200
10199690120125
1177762959931
123284b998139
1315aa50723c2
149944c9956d
1552db163000
hex2e7e756bbd

199690120125 has 60 divisors (see below), whose sum is σ = 372365398548. Its totient is φ = 106477416000.

The previous prime is 199690120121. The next prime is 199690120127. The reversal of 199690120125 is 521021096991.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 86941240164 + 112748879961 = 294858^2 + 335781^2 .

It is not a de Polignac number, because 199690120125 - 22 = 199690120121 is a prime.

It is a super-2 number, since 2×1996901201252 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199690120121) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 44962905 + ... + 44967345.

Almost surely, 2199690120125 is an apocalyptic number.

199690120125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

199690120125 is a deficient number, since it is larger than the sum of its proper divisors (172675278423).

199690120125 is an frugal number, since it uses more digits than its factorization.

199690120125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8909 (or 4449 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 45.

Multiplying 199690120125 by its sum of digits (45), we get a square (8986055405625 = 29976752).

199690120125 divided by its sum of digits (45) gives a square (4437558225 = 666152).

The spelling of 199690120125 in words is "one hundred ninety-nine billion, six hundred ninety million, one hundred twenty thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 125 135 225 375 405 675 1125 2025 3375 4441 10125 13323 22205 39969 66615 111025 119907 199845 333075 359721 555125 599535 999225 1665375 1798605 2997675 4996125 8993025 14988375 19722481 44965125 59167443 98612405 177502329 295837215 493062025 532506987 887511645 1479186075 1597520961 2465310125 2662534935 4437558225 7395930375 7987604805 13312674675 22187791125 39938024025 66563373375 199690120125