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6630375168 = 28325475261
BaseRepresentation
bin1100010110011001…
…10111111100000000
3122010002012221211200
412023030313330000
5102034334001133
63013531541200
7323210154564
oct61314677400
918102187750
106630375168
1128a2745aaa
1213505ba800
1381886b321
1446c8216a4
1528c155913
hex18b337f00

6630375168 has 108 divisors (see below), whose sum is σ = 19155595368. Its totient is φ = 2205665280.

The previous prime is 6630375149. The next prime is 6630375187. The reversal of 6630375168 is 8615730366.

6630375168 is a `hidden beast` number, since 6 + 630 + 3 + 7 + 5 + 1 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (6630375149) and next prime (6630375187).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1257658 + ... + 1262918.

Almost surely, 26630375168 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 6630375168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9577797684).

6630375168 is an abundant number, since it is smaller than the sum of its proper divisors (12525220200).

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

6630375168 is a wasteful number, since it uses less digits than its factorization.

6630375168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5830 (or 5813 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 6630375168 is about 81427.1156802204. The cubic root of 6630375168 is about 1878.6506811082.

The spelling of 6630375168 in words is "six billion, six hundred thirty million, three hundred seventy-five thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 547 576 768 1094 1152 1641 2188 2304 3282 4376 4923 5261 6564 8752 9846 10522 13128 15783 17504 19692 21044 26256 31566 35008 39384 42088 47349 52512 63132 70016 78768 84176 94698 105024 126264 140032 157536 168352 189396 210048 252528 315072 336704 378792 420096 505056 630144 673408 757584 1010112 1260288 1346816 1515168 2020224 2877767 3030336 4040448 5755534 6060672 8633301 11511068 12121344 17266602 23022136 25899903 34533204 46044272 51799806 69066408 92088544 103599612 138132816 184177088 207199224 276265632 368354176 414398448 552531264 736708352 828796896 1105062528 1657593792 2210125056 3315187584 6630375168