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3640609680 = 243515169207
BaseRepresentation
bin1101100011111111…
…0100101110010000
3100101201110010121120
43120333310232100
524423444002210
61401130522240
7156134446251
oct33077645620
910351403546
103640609680
1115a9035a34
12857296380
1346032b316
14267720b28
15164934270
hexd8ff4b90

3640609680 has 40 divisors (see below), whose sum is σ = 11285890752. Its totient is φ = 970829184.

The previous prime is 3640609673. The next prime is 3640609699. The reversal of 3640609680 is 869060463.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7584364 + ... + 7584843.

Almost surely, 23640609680 is an apocalyptic number.

3640609680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3640609680 is an abundant number, since it is smaller than the sum of its proper divisors (7645281072).

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

3640609680 is a wasteful number, since it uses less digits than its factorization.

3640609680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15169223 (or 15169217 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 3640609680 is about 60337.4649782372. The cubic root of 3640609680 is about 1538.3602155681.

The spelling of 3640609680 in words is "three billion, six hundred forty million, six hundred nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 15169207 30338414 45507621 60676828 75846035 91015242 121353656 151692070 182030484 227538105 242707312 303384140 364060968 455076210 606768280 728121936 910152420 1213536560 1820304840 3640609680