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4290188561 = 174371131631
BaseRepresentation
bin1111111110110111…
…0001010100010001
3102001222202011022122
43333231301110101
532241242013221
61545413344025
7211213000241
oct37755612421
912058664278
104290188561
11190177718a
129b8938015
13534a95719
142c9ad1b21
151a1996eab
hexffb71511

4290188561 has 32 divisors (see below), whose sum is σ = 4757170176. Its totient is φ = 3852576000.

The previous prime is 4290188557. The next prime is 4290188563. The reversal of 4290188561 is 1658810924.

It is a cyclic number.

It is not a de Polignac number, because 4290188561 - 22 = 4290188557 is a prime.

It is a super-3 number, since 3×42901885613 (a number of 30 digits) contains 333 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4290188563) 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 31 ways as a sum of consecutive naturals, for example, 6798716 + ... + 6799346.

It is an arithmetic number, because the mean of its divisors is an integer number (148661568).

Almost surely, 24290188561 is an apocalyptic number.

It is an amenable number.

4290188561 is a deficient number, since it is larger than the sum of its proper divisors (466981615).

4290188561 is a wasteful number, since it uses less digits than its factorization.

4290188561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893.

The product of its (nonzero) digits is 138240, while the sum is 44.

The square root of 4290188561 is about 65499.5309983209. The cubic root of 4290188561 is about 1624.8955907354.

The spelling of 4290188561 in words is "four billion, two hundred ninety million, one hundred eighty-eight thousand, five hundred sixty-one".

Divisors: 1 17 43 71 131 631 731 1207 2227 3053 5633 9301 10727 27133 44801 51901 82661 95761 158117 399943 461261 761617 1405237 1926443 3554423 5868931 6799031 32749531 60425191 99771827 252364033 4290188561