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199010563236 = 223214924992
BaseRepresentation
bin1011100101010111110…
…1000011010010100100
3201000200101111002102100
42321111331003102210
511230033201010421
6231231343012100
720243444606502
oct2712575032244
9630611432370
10199010563236
1177444302771
12326a029a030
13159c7340034
1498bc923672
15529b67cc26
hex2e55f434a4

199010563236 has 81 divisors (see below), whose sum is σ = 507470313441. Its totient is φ = 65759593248.

The previous prime is 199010563217. The next prime is 199010563247. The reversal of 199010563236 is 632365010991.

The square root of 199010563236 is 446106.

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

199010563236 is a `hidden beast` number, since 1 + 9 + 9 + 0 + 1 + 0 + 5 + 632 + 3 + 6 = 666.

199010563236 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 23315457636 + 175695105600 = 152694^2 + 419160^2 .

It is a junction number, because it is equal to n+sod(n) for n = 199010563191 and 199010563200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 398818515 + ... + 398819013.

Almost surely, 2199010563236 is an apocalyptic number.

199010563236 is the 446106-th square number.

It is an amenable number.

199010563236 is an abundant number, since it is smaller than the sum of its proper divisors (308459750205).

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

199010563236 is an equidigital number, since it uses as much as digits as its factorization.

199010563236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1306 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The spelling of 199010563236 in words is "one hundred ninety-nine billion, ten million, five hundred sixty-three thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 149 298 447 499 596 894 998 1341 1497 1788 1996 2682 2994 4491 5364 5988 8982 17964 22201 44402 66603 74351 88804 133206 148702 199809 223053 249001 266412 297404 399618 446106 498002 669159 747003 799236 892212 996004 1338318 1494006 2241009 2676636 2988012 4482018 8964036 11078299 22156598 33234897 37101149 44313196 66469794 74202298 99704691 111303447 132939588 148404596 199409382 222606894 333910341 398818764 445213788 667820682 1335641364 5528071201 11056142402 16584213603 22112284804 33168427206 49752640809 66336854412 99505281618 199010563236