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3116325564 = 22321110376403
BaseRepresentation
bin1011100110111111…
…0101101010111100
322001011220202000100
42321233311222330
522340234404224
61233121401100
7140140221162
oct27157655274
98034822010
103116325564
11135a0a2580
1272b799190
133a8822b31
14217c47232
151338c0ac9
hexb9bf5abc

3116325564 has 72 divisors (see below), whose sum is σ = 8677049472. Its totient is φ = 935160480.

The previous prime is 3116325557. The next prime is 3116325571. The reversal of 3116325564 is 4655236113.

3116325564 is a `hidden beast` number, since 3 + 11 + 63 + 25 + 564 = 666.

It is an interprime number because it is at equal distance from previous prime (3116325557) and next prime (3116325571).

It is a super-2 number, since 2×31163255642 = 19422970041679836192, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its 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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2587 + ... + 78989.

It is an arithmetic number, because the mean of its divisors is an integer number (120514576).

Almost surely, 23116325564 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 3116325564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4338524736).

3116325564 is an abundant number, since it is smaller than the sum of its proper divisors (5560723908).

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

3116325564 is a wasteful number, since it uses less digits than its factorization.

3116325564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76527 (or 76522 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 3116325564 is about 55824.0590068476. The cubic root of 3116325564 is about 1460.6548579166.

The spelling of 3116325564 in words is "three billion, one hundred sixteen million, three hundred twenty-five thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 103 132 198 206 309 396 412 618 927 1133 1236 1854 2266 3399 3708 4532 6798 10197 13596 20394 40788 76403 152806 229209 305612 458418 687627 840433 916836 1375254 1680866 2521299 2750508 3361732 5042598 7563897 7869509 10085196 15127794 15739018 23608527 30255588 31478036 47217054 70825581 86564599 94434108 141651162 173129198 259693797 283302324 346258396 519387594 779081391 1038775188 1558162782 3116325564