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3689140616 = 23733121399
BaseRepresentation
bin1101101111100011…
…1101000110001000
3100112002202202112122
43123320331012020
530023404444431
61410023030412
7160264115000
oct33370750610
910462682478
103689140616
111623472a47
1286b59b408
1346a3c0b55
1426dd55000
15168d1da7b
hexdbe3d188

3689140616 has 96 divisors (see below), whose sum is σ = 8341200000. Its totient is φ = 1528964640.

The previous prime is 3689140601. The next prime is 3689140633. The reversal of 3689140616 is 6160419863.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2636285 + ... + 2637683.

It is an arithmetic number, because the mean of its divisors is an integer number (86887500).

Almost surely, 23689140616 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 3689140616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4170600000).

3689140616 is an abundant number, since it is smaller than the sum of its proper divisors (4652059384).

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

3689140616 is a wasteful number, since it uses less digits than its factorization.

3689140616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1488 (or 1439 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 44.

The square root of 3689140616 is about 60738.2961236155. The cubic root of 3689140616 is about 1545.1657381994.

The spelling of 3689140616 in words is "three billion, six hundred eighty-nine million, one hundred forty thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 14 28 31 49 56 62 98 124 196 217 248 343 392 434 686 868 961 1372 1399 1519 1736 1922 2744 2798 3038 3844 5596 6076 6727 7688 9793 10633 11192 12152 13454 19586 21266 26908 39172 42532 43369 47089 53816 68551 78344 85064 86738 94178 137102 173476 188356 274204 303583 329623 346952 376712 479857 548408 607166 659246 959714 1214332 1318492 1344439 1919428 2125081 2428664 2636984 2688878 3838856 4250162 5377756 8500324 9411073 10755512 14875567 17000648 18822146 29751134 37644292 59502268 65877511 75288584 119004536 131755022 263510044 461142577 527020088 922285154 1844570308 3689140616