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3680714568 = 233293125503
BaseRepresentation
bin1101101101100011…
…0011111101001000
3100111111220200011210
43123120303331020
530014230331233
61405122253120
7160132362156
oct33330637510
910444820153
103680714568
111619738373
128687b71a0
1346873081b
1426cba03d6
15168207163
hexdb633f48

3680714568 has 96 divisors (see below), whose sum is σ = 9837849600. Its totient is φ = 1146176640.

The previous prime is 3680714551. The next prime is 3680714627. The reversal of 3680714568 is 8654170863.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 666105 + ... + 671607.

It is an arithmetic number, because the mean of its divisors is an integer number (102477600).

Almost surely, 23680714568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3680714568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4918924800).

3680714568 is an abundant number, since it is smaller than the sum of its proper divisors (6157135032).

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

3680714568 is a wasteful number, since it uses less digits than its factorization.

3680714568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5603 (or 5568 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The square root of 3680714568 is about 60668.8929188592. The cubic root of 3680714568 is about 1543.9884481493.

The spelling of 3680714568 in words is "three billion, six hundred eighty million, seven hundred fourteen thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 29 31 58 62 87 93 116 124 174 186 232 248 348 372 696 744 899 961 1798 1922 2697 2883 3596 3844 5394 5503 5766 7192 7688 10788 11006 11532 16509 21576 22012 23064 27869 33018 44024 55738 66036 83607 111476 132072 159587 167214 170593 222952 319174 334428 341186 478761 511779 638348 668856 682372 957522 1023558 1276696 1364744 1915044 2047116 3830088 4094232 4947197 5288383 9894394 10576766 14841591 15865149 19788788 21153532 29683182 31730298 39577576 42307064 59366364 63460596 118732728 126921192 153363107 306726214 460089321 613452428 920178642 1226904856 1840357284 3680714568