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199084707456 = 2733001172759
BaseRepresentation
bin1011100101101001011…
…1111000111010000000
3201000212120000000011120
42321122113320322000
511230211141114311
6231242552112240
720245335043425
oct2713227707200
9630776000146
10199084707456
1177482144388
1232701095680
1315a097ccc5b
1498c8703d4c
1552a2e26706
hex2e5a5f8e80

199084707456 has 64 divisors (see below), whose sum is σ = 528998030400. Its totient is φ = 66339072000.

The previous prime is 199084707427. The next prime is 199084707457. The reversal of 199084707456 is 654707480991.

199084707456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1990847074562 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 199084707456.

It is not an unprimeable number, because it can be changed into a prime (199084707457) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1066005 + ... + 1238763.

It is an arithmetic number, because the mean of its divisors is an integer number (8265594225).

Almost surely, 2199084707456 is an apocalyptic number.

199084707456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

199084707456 is an abundant number, since it is smaller than the sum of its proper divisors (329913322944).

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

199084707456 is a wasteful number, since it uses less digits than its factorization.

199084707456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175777 (or 175765 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 60.

The spelling of 199084707456 in words is "one hundred ninety-nine billion, eighty-four million, seven hundred seven thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 3001 6002 9003 12004 18006 24008 36012 48016 72024 96032 144048 172759 192064 288096 345518 384128 518277 576192 691036 1036554 1152384 1382072 2073108 2764144 4146216 5528288 8292432 11056576 16584864 22113152 33169728 66339456 518449759 1036899518 1555349277 2073799036 3110698554 4147598072 6221397108 8295196144 12442794216 16590392288 24885588432 33180784576 49771176864 66361569152 99542353728 199084707456