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16523442090 = 2325235777893
BaseRepresentation
bin11110110001101111…
…11011011110101010
31120122112202211100200
433120313323132222
5232320000121330
611331334413030
71123315640361
oct173067733652
946575684320
1016523442090
11700a063671
123251801176
13173435838c
14b2a6aa7d8
1566a93ea60
hex3d8dfb7aa

16523442090 has 48 divisors (see below), whose sum is σ = 42979728168. Its totient is φ = 4404325248.

The previous prime is 16523442083. The next prime is 16523442097. The reversal of 16523442090 is 9024432561.

It is a happy number.

16523442090 is a `hidden beast` number, since 1 + 6 + 523 + 4 + 42 + 0 + 90 = 666.

It is an interprime number because it is at equal distance from previous prime (16523442083) and next prime (16523442097).

It can be written as a sum of positive squares in 4 ways, for example, as 13361741649 + 3161700441 = 115593^2 + 56229^2 .

It is not an unprimeable number, because it can be changed into a prime (16523442097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173184 + ... + 251076.

Almost surely, 216523442090 is an apocalyptic number.

16523442090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

16523442090 is an abundant number, since it is smaller than the sum of its proper divisors (26456286078).

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

16523442090 is a wasteful number, since it uses less digits than its factorization.

16523442090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80263 (or 80260 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 16523442090 in words is "sixteen billion, five hundred twenty-three million, four hundred forty-two thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 2357 4714 7071 11785 14142 21213 23570 35355 42426 70710 77893 106065 155786 212130 233679 389465 467358 701037 778930 1168395 1402074 2336790 3505185 7010370 183593801 367187602 550781403 917969005 1101562806 1652344209 1835938010 2753907015 3304688418 5507814030 8261721045 16523442090