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3663130716 = 223572292351
BaseRepresentation
bin1101101001010110…
…1111000001011100
3100110021211022200000
43122111233001130
530000230140331
61403253334300
7156530045250
oct33225570134
910407738600
103663130716
11160a818363
12862937390
13464bb508b
1426a704260
151668d20e6
hexda56f05c

3663130716 has 144 divisors (see below), whose sum is σ = 11026928640. Its totient is φ = 1041595200.

The previous prime is 3663130711. The next prime is 3663130733. The reversal of 3663130716 is 6170313663.

3663130716 is a `hidden beast` number, since 3 + 6 + 631 + 3 + 0 + 7 + 16 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3663130711) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1556941 + ... + 1559291.

Almost surely, 23663130716 is an apocalyptic number.

3663130716 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3663130716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5513464320).

3663130716 is an abundant number, since it is smaller than the sum of its proper divisors (7363797924).

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

3663130716 is a wasteful number, since it uses less digits than its factorization.

3663130716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2606 (or 2592 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 3663130716 is about 60523.8028877895. The cubic root of 3663130716 is about 1541.5258273457.

The spelling of 3663130716 in words is "three billion, six hundred sixty-three million, one hundred thirty thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 229 243 252 324 378 458 486 567 687 756 916 972 1134 1374 1603 1701 2061 2268 2351 2748 3206 3402 4122 4702 4809 6183 6412 6804 7053 8244 9404 9618 12366 14106 14427 16457 18549 19236 21159 24732 28212 28854 32914 37098 42318 43281 49371 55647 57708 63477 65828 74196 84636 86562 98742 111294 126954 129843 148113 173124 190431 197484 222588 253908 259686 296226 380862 389529 444339 519372 538379 571293 592452 761724 779058 888678 1076758 1142586 1333017 1558116 1615137 1777356 2153516 2285172 2666034 3230274 3768653 3999051 4845411 5332068 6460548 7537306 7998102 9690822 11305959 14536233 15074612 15996204 19381644 22611918 29072466 33917877 43608699 45223836 58144932 67835754 87217398 101753631 130826097 135671508 174434796 203507262 261652194 305260893 407014524 523304388 610521786 915782679 1221043572 1831565358 3663130716