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3316644864 = 2103213193147
BaseRepresentation
bin1100010110101111…
…1111110000000000
322120010212000102200
43011223333300000
523243030113424
61305035113200
7145122005361
oct30553776000
98503760380
103316644864
111452183415
127868a2800
1340b18c570
142366adb68
1514628e8c9
hexc5affc00

3316644864 has 528 divisors, whose sum is σ = 11444858880. Its totient is φ = 915701760.

The previous prime is 3316644853. The next prime is 3316644901. The reversal of 3316644864 is 4684466133.

It is a happy number.

3316644864 is a `hidden beast` number, since 3 + 3 + 166 + 4 + 486 + 4 = 666.

3316644864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33166448642 = 22000266307795156992, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70566889 + ... + 70566935.

Almost surely, 23316644864 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 3316644864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5722429440).

3316644864 is an abundant number, since it is smaller than the sum of its proper divisors (8128214016).

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

3316644864 is a wasteful number, since it uses less digits than its factorization.

3316644864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 115 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The square root of 3316644864 is about 57590.3191864744. The cubic root of 3316644864 is about 1491.3044840738.

The spelling of 3316644864 in words is "three billion, three hundred sixteen million, six hundred forty-four thousand, eight hundred sixty-four".