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2083669764 = 2231134745491
BaseRepresentation
bin111110000110010…
…0100011100000100
312101012210101120020
41330030210130010
513231404413024
6542432135140
7102430620651
oct17414443404
95335711506
102083669764
1197a1a4a30
124a19974b0
132728c0bb7
1415aa38c28
15c2ddd979
hex7c324704

2083669764 has 48 divisors (see below), whose sum is σ = 5319288576. Its totient is φ = 629581600.

The previous prime is 2083669759. The next prime is 2083669769. The reversal of 2083669764 is 4679663802.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2083669759) and next prime (2083669769).

It is not an unprimeable number, because it can be changed into a prime (2083669769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23059 + ... + 68549.

It is an arithmetic number, because the mean of its divisors is an integer number (110818512).

Almost surely, 22083669764 is an apocalyptic number.

It is an amenable number.

2083669764 is an abundant number, since it is smaller than the sum of its proper divisors (3235618812).

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

2083669764 is a wasteful number, since it uses less digits than its factorization.

2083669764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45856 (or 45854 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 51.

The square root of 2083669764 is about 45647.2317232929. The cubic root of 2083669764 is about 1277.2511329537.

It can be divided in two parts, 208366 and 9764, that added together give a triangular number (218130 = T660).

The spelling of 2083669764 in words is "two billion, eighty-three million, six hundred sixty-nine thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 347 694 1041 1388 2082 3817 4164 7634 11451 15268 22902 45491 45804 90982 136473 181964 272946 500401 545892 1000802 1501203 2001604 3002406 6004812 15785377 31570754 47356131 63141508 94712262 173639147 189424524 347278294 520917441 694556588 1041834882 2083669764