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38381060664 = 23322347493127
BaseRepresentation
bin100011101111101100…
…001000001000111000
310200001211201220020100
4203233230020020320
51112101022420124
625344303155400
72526055430022
oct435754101070
9120054656210
1038381060664
1115306120a51
1275318a5b60
1338088480ab
141c01587012
15ee97e61c9
hex8efb08238

38381060664 has 96 divisors (see below), whose sum is σ = 110776273920. Its totient is φ = 11977044288.

The previous prime is 38381060651. The next prime is 38381060677. The reversal of 38381060664 is 46606018383.

38381060664 is a `hidden beast` number, since 3 + 8 + 38 + 1 + 0 + 606 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (38381060651) and next prime (38381060677).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 168732 + ... + 324395.

It is an arithmetic number, because the mean of its divisors is an integer number (1153919520).

Almost surely, 238381060664 is an apocalyptic number.

It is an amenable number.

38381060664 is an abundant number, since it is smaller than the sum of its proper divisors (72395213256).

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

38381060664 is a wasteful number, since it uses less digits than its factorization.

38381060664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493209 (or 493202 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 38381060664 in words is "thirty-eight billion, three hundred eighty-one million, sixty thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 47 69 72 92 94 138 141 184 188 207 276 282 376 414 423 552 564 828 846 1081 1128 1656 1692 2162 3243 3384 4324 6486 8648 9729 12972 19458 25944 38916 77832 493127 986254 1479381 1972508 2958762 3945016 4438143 5917524 8876286 11341921 11835048 17752572 22683842 23176969 34025763 35505144 45367684 46353938 68051526 69530907 90735368 92707876 102077289 136103052 139061814 185415752 204154578 208592721 272206104 278123628 408309156 417185442 533070287 556247256 816618312 834370884 1066140574 1599210861 1668741768 2132281148 3198421722 4264562296 4797632583 6396843444 9595265166 12793686888 19190530332 38381060664