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1331063604 = 22361323773
BaseRepresentation
bin100111101010110…
…0110101100110100
310102202122001000000
41033111212230310
510211223013404
6340025151300
744661565623
oct11725465464
93382561000
101331063604
11623394872
1231192b530
131829c3100
14c8ac96ba
157bcc9339
hex4f566b34

1331063604 has 252 divisors, whose sum is σ = 3937173996. Its totient is φ = 393030144.

The previous prime is 1331063579. The next prime is 1331063609. The reversal of 1331063604 is 4063601331.

1331063604 is a `hidden beast` number, since 13 + 3 + 10 + 636 + 0 + 4 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 22071204 + 1308992400 = 4698^2 + 36180^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331063609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 18233712 + ... + 18233784.

Almost surely, 21331063604 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 1331063604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1968586998).

1331063604 is an abundant number, since it is smaller than the sum of its proper divisors (2606110392).

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

1331063604 is a wasteful number, since it uses less digits than its factorization.

1331063604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 1331063604 is about 36483.7443802031. The cubic root of 1331063604 is about 1100.0175214840.

Adding to 1331063604 its reverse (4063601331), we get a palindrome (5394664935).

The spelling of 1331063604 in words is "one billion, three hundred thirty-one million, sixty-three thousand, six hundred four".