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1330664016 = 2431116715091
BaseRepresentation
bin100111101010000…
…0101001001010000
310102201212201212110
41033110011021100
510211122222031
6340012425320
744655312633
oct11724051120
93381781773
101330664016
11623141630
12311778240
131828b3276
14c8a23c1a
157bc4ac46
hex4f505250

1330664016 has 80 divisors (see below), whose sum is σ = 3772758528. Its totient is φ = 400790400.

The previous prime is 1330663987. The next prime is 1330664021. The reversal of 1330664016 is 6104660331.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80631 + ... + 95721.

Almost surely, 21330664016 is an apocalyptic number.

1330664016 is a gapful number since it is divisible by the number (16) 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 1330664016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1886379264).

1330664016 is an abundant number, since it is smaller than the sum of its proper divisors (2442094512).

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

1330664016 is a wasteful number, since it uses less digits than its factorization.

1330664016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15280 (or 15274 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 1330664016 is about 36478.2677220287. The cubic root of 1330664016 is about 1099.9074346351.

The spelling of 1330664016 in words is "one billion, three hundred thirty million, six hundred sixty-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 167 176 264 334 501 528 668 1002 1336 1837 2004 2672 3674 4008 5511 7348 8016 11022 14696 15091 22044 29392 30182 44088 45273 60364 88176 90546 120728 166001 181092 241456 332002 362184 498003 664004 724368 996006 1328008 1992012 2520197 2656016 3984024 5040394 7560591 7968048 10080788 15121182 20161576 27722167 30242364 40323152 55444334 60484728 83166501 110888668 120969456 166333002 221777336 332666004 443554672 665332008 1330664016