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38016001836216 = 2333612885246041
BaseRepresentation
bin10001010010011010010100…
…10010010000010010111000
311222121021221112100122222000
420221031022102100102320
514440323232432224331
6212504150554101000
711002364651644245
oct1051151222202270
9158537845318860
1038016001836216
111112754aa63718
12431b90a11a760
131829b802b0341
14955dacd185cc
1545dd3b9990e6
hex22934a4904b8

38016001836216 has 64 divisors (see below), whose sum is σ = 107331152762400. Its totient is φ = 12464262892800.

The previous prime is 38016001836203. The next prime is 38016001836223. The reversal of 38016001836216 is 61263810061083.

38016001836216 is a `hidden beast` number, since 3 + 8 + 0 + 1 + 6 + 0 + 0 + 18 + 3 + 621 + 6 = 666.

It is a super-2 number, since 2×380160018362162 (a number of 28 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 1442609845 + ... + 1442636196.

Almost surely, 238016001836216 is an apocalyptic number.

38016001836216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

38016001836216 is an abundant number, since it is smaller than the sum of its proper divisors (69315150926184).

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

38016001836216 is a wasteful number, since it uses less digits than its factorization.

38016001836216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2885246117 (or 2885246107 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

Adding to 38016001836216 its reverse (61263810061083), we get a palindrome (99279811897299).

The spelling of 38016001836216 in words is "thirty-eight trillion, sixteen billion, one million, eight hundred thirty-six thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 61 72 108 122 183 216 244 366 488 549 732 1098 1464 1647 2196 3294 4392 6588 13176 2885246041 5770492082 8655738123 11540984164 17311476246 23081968328 25967214369 34622952492 51934428738 69245904984 77901643107 103868857476 155803286214 176000008501 207737714952 311606572428 352000017002 528000025503 623213144856 704000034004 1056000051006 1408000068008 1584000076509 2112000102012 3168000153018 4224000204024 4752000229527 6336000306036 9504000459054 12672000612072 19008000918108 38016001836216