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83061225345 = 3574131162039
BaseRepresentation
bin100110101011011010…
…1011011011110000001
321221101200100102201110
41031112311123132001
52330102133202340
6102054030153533
76000222523560
oct1152665333601
9257350312643
1083061225345
1132253994a8a
12141210528a9
137aa9404c67
14403d55bbd7
152262108680
hex1356d5b781

83061225345 has 64 divisors (see below), whose sum is σ = 156090654720. Its totient is φ = 36925017600.

The previous prime is 83061225337. The next prime is 83061225347. The reversal of 83061225345 is 54352216038.

It is a happy number.

It is not a de Polignac number, because 83061225345 - 23 = 83061225337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (83061225347) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1307836 + ... + 1369874.

It is an arithmetic number, because the mean of its divisors is an integer number (2438916480).

Almost surely, 283061225345 is an apocalyptic number.

It is an amenable number.

83061225345 is a deficient number, since it is larger than the sum of its proper divisors (73029429375).

83061225345 is a wasteful number, since it uses less digits than its factorization.

83061225345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62406.

The product of its (nonzero) digits is 172800, while the sum is 39.

The spelling of 83061225345 in words is "eighty-three billion, sixty-one million, two hundred twenty-five thousand, three hundred forty-five".

Divisors: 1 3 5 7 15 21 35 41 105 123 205 287 311 615 861 933 1435 1555 2177 4305 4665 6531 10885 12751 32655 38253 62039 63755 89257 186117 191265 267771 310195 434273 446285 930585 1302819 1338855 2171365 2543599 6514095 7630797 12717995 17805193 19294129 38153985 53415579 57882387 89025965 96470645 135058903 267077895 289411935 405176709 675294515 791059289 2025883545 2373177867 3955296445 5537415023 11865889335 16612245069 27687075115 83061225345