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38064001716 = 22321381333337
BaseRepresentation
bin100011011100110010…
…101001001010110100
310122020202010122010100
4203130302221022310
51110423341023331
625253015354100
72515155450636
oct433462511264
9118222118110
1038064001716
1115163155964
127463682930
133787c56750
141bb1412a56
15ecba67ae6
hex8dcca92b4

38064001716 has 36 divisors (see below), whose sum is σ = 103618672612. Its totient is φ = 11712000384.

The previous prime is 38064001699. The next prime is 38064001739. The reversal of 38064001716 is 61710046083.

38064001716 is a `hidden beast` number, since 3 + 8 + 0 + 640 + 0 + 1 + 7 + 1 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14351081616 + 23712920100 = 119796^2 + 153990^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40666201 + ... + 40667136.

Almost surely, 238064001716 is an apocalyptic number.

38064001716 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

38064001716 is an abundant number, since it is smaller than the sum of its proper divisors (65554670896).

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

38064001716 is a wasteful number, since it uses less digits than its factorization.

38064001716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81333360 (or 81333355 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

Adding to 38064001716 its reverse (61710046083), we get a palindrome (99774047799).

The spelling of 38064001716 in words is "thirty-eight billion, sixty-four million, one thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 81333337 162666674 244000011 325333348 488000022 732000033 976000044 1057333381 1464000066 2114666762 2928000132 3172000143 4229333524 6344000286 9516000429 12688000572 19032000858 38064001716