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38049974864 = 241119312831297
BaseRepresentation
bin100011011011111101…
…001000101001010000
310122012202201222220022
4203123331020221100
51110411243143424
625251355003012
72514625310216
oct433375105120
9118182658808
1038049974864
1115156245320
12745aa39468
133785085035
141bad600cb6
15eca6e695e
hex8dbf48a50

38049974864 has 160 divisors (see below), whose sum is σ = 87763906560. Its totient is φ = 15788390400.

The previous prime is 38049974861. The next prime is 38049974873. The reversal of 38049974864 is 46847994083.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is a junction number, because it is equal to n+sod(n) for n = 38049974797 and 38049974806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38049974861) 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 31 ways as a sum of consecutive naturals, for example, 29336264 + ... + 29337560.

It is an arithmetic number, because the mean of its divisors is an integer number (548524416).

Almost surely, 238049974864 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 38049974864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43881953280).

38049974864 is an abundant number, since it is smaller than the sum of its proper divisors (49713931696).

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

38049974864 is a wasteful number, since it uses less digits than its factorization.

38049974864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1649 (or 1643 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 62.

The spelling of 38049974864 in words is "thirty-eight billion, forty-nine million, nine hundred seventy-four thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 11 16 19 22 31 38 44 62 76 88 124 152 176 209 248 283 304 341 418 496 566 589 682 836 1132 1178 1297 1364 1672 2264 2356 2594 2728 3113 3344 4528 4712 5188 5377 5456 6226 6479 8773 9424 10376 10754 12452 12958 14267 17546 20752 21508 24643 24904 25916 28534 35092 40207 43016 49286 49808 51832 57068 59147 70184 80414 86032 96503 98572 103664 114136 118294 140368 160828 166687 193006 197144 228272 236588 271073 321656 333374 367051 386012 394288 442277 473176 542146 643312 666748 734102 763933 772024 884554 946352 1084292 1333496 1468204 1527866 1544048 1769108 1833557 2168584 2666992 2936408 3055732 3538216 3667114 4037561 4337168 5872816 6111464 6973969 7076432 7334228 8075122 8403263 11378581 12222928 13947938 14668456 16150244 16806526 22757162 27895876 29336912 32300488 33613052 45514324 55791752 64600976 67226104 76713659 91028648 111583504 125164391 134452208 153427318 182057296 216193039 250328782 306854636 432386078 500657564 613709272 864772156 1001315128 1227418544 1729544312 2002630256 2378123429 3459088624 4756246858 9512493716 19024987432 38049974864