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3316544416 = 25178968501
BaseRepresentation
bin1100010110101110…
…0111001110100000
322120010122220122101
43011223213032200
523243013410131
61305033020144
7145121106463
oct30553471640
98503586571
103316544416
1114521149a9
12786854654
1340b155923
142366852da
1514626ec61
hexc5ae73a0

3316544416 has 48 divisors (see below), whose sum is σ = 6991314120. Its totient is φ = 1543168000.

The previous prime is 3316544389. The next prime is 3316544419. The reversal of 3316544416 is 6144456133.

3316544416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1857610000 + 1458934416 = 43100^2 + 38196^2 .

It is not an unprimeable number, because it can be changed into a prime (3316544419) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14166 + ... + 82666.

Almost surely, 23316544416 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 3316544416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3495657060).

3316544416 is an abundant number, since it is smaller than the sum of its proper divisors (3674769704).

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

3316544416 is a wasteful number, since it uses less digits than its factorization.

3316544416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68617 (or 68609 counting only the distinct ones).

The product of its digits is 103680, while the sum is 37.

The square root of 3316544416 is about 57589.4470888547. The cubic root of 3316544416 is about 1491.2894286919.

The spelling of 3316544416 in words is "three billion, three hundred sixteen million, five hundred forty-four thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 17 32 34 68 89 136 178 272 356 544 712 1424 1513 2848 3026 6052 12104 24208 48416 68501 137002 274004 548008 1096016 1164517 2192032 2329034 4658068 6096589 9316136 12193178 18632272 24386356 37264544 48772712 97545424 103642013 195090848 207284026 414568052 829136104 1658272208 3316544416