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38533077648 = 243513762367
BaseRepresentation
bin100011111000110000…
…000001101010010000
310200110102210011100000
4203320300001222100
51112403431441043
625411333330000
72532612520152
oct437060015220
9120412704300
1038533077648
1115383a1061a
127574796900
1338311a2080
141c17838ad2
151007d232d3
hex8f8c01a90

38533077648 has 120 divisors (see below), whose sum is σ = 120435847168. Its totient is φ = 11856316032.

The previous prime is 38533077637. The next prime is 38533077673. The reversal of 38533077648 is 84677033583.

38533077648 is a `hidden beast` number, since 38 + 533 + 0 + 7 + 76 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 38533077594 and 38533077603.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 330640 + ... + 431727.

Almost surely, 238533077648 is an apocalyptic number.

It is an amenable number.

38533077648 is an abundant number, since it is smaller than the sum of its proper divisors (81902769520).

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

38533077648 is a wasteful number, since it uses less digits than its factorization.

38533077648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762403 (or 762385 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 38533077648 in words is "thirty-eight billion, five hundred thirty-three million, seventy-seven thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 243 312 324 351 432 468 486 624 648 702 936 972 1053 1296 1404 1872 1944 2106 2808 3159 3888 4212 5616 6318 8424 12636 16848 25272 50544 762367 1524734 2287101 3049468 4574202 6098936 6861303 9148404 9910771 12197872 13722606 18296808 19821542 20583909 27445212 29732313 36593616 39643084 41167818 54890424 59464626 61751727 79286168 82335636 89196939 109780848 118929252 123503454 158572336 164671272 178393878 185255181 237858504 247006908 267590817 329342544 356787756 370510362 475717008 494013816 535181634 713575512 741020724 802772451 988027632 1070363268 1427151024 1482041448 1605544902 2140726536 2408317353 2964082896 3211089804 4281453072 4816634706 6422179608 9633269412 12844359216 19266538824 38533077648