Search a number
-
+
38356854822858 = 231113193736308023
BaseRepresentation
bin10001011100010101001101…
…01101001101011111001010
312000210212202011101102220110
420232022212231031133022
520011414314313312413
6213324521300335150
711036122422351135
oct1056124655153712
9160725664342813
1038356854822858
111124906164a4a0
1243759950a44b6
131853060b07010
149686a5a2721c
15467b3a9818c3
hex22e2a6b4d7ca

38356854822858 has 128 divisors (see below), whose sum is σ = 95122983352320. Its totient is φ = 10137243674880.

The previous prime is 38356854822817. The next prime is 38356854822859. The reversal of 38356854822858 is 85822845865383.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 38356854822858.

It is not an unprimeable number, because it can be changed into a prime (38356854822859) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2926635 + ... + 9234657.

It is an arithmetic number, because the mean of its divisors is an integer number (743148307440).

Almost surely, 238356854822858 is an apocalyptic number.

38356854822858 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 38356854822858, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47561491676160).

38356854822858 is an abundant number, since it is smaller than the sum of its proper divisors (56766128529462).

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

38356854822858 is a wasteful number, since it uses less digits than its factorization.

38356854822858 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6308444.

The product of its digits is 3538944000, while the sum is 75.

The spelling of 38356854822858 in words is "thirty-eight trillion, three hundred fifty-six billion, eight hundred fifty-four million, eight hundred twenty-two thousand, eight hundred fifty-eight".

Divisors: 1 2 3 6 11 13 19 22 26 33 38 39 57 66 78 114 143 209 247 286 373 418 429 494 627 741 746 858 1119 1254 1482 2238 2717 4103 4849 5434 7087 8151 8206 9698 12309 14174 14547 16302 21261 24618 29094 42522 53339 77957 92131 106678 155914 160017 184262 233871 276393 320034 467742 552786 1013441 2026882 3040323 6080646 6308023 12616046 18924069 37848138 69388253 82004299 119852437 138776506 164008598 208164759 239704874 246012897 359557311 416329518 492025794 719114622 902047289 1318376807 1558081681 1804094578 2352892579 2636753614 2706141867 3116163362 3955130421 4674245043 4705785158 5412283734 7058677737 7910260842 9348490086 14117355474 17138898491 25881818369 30587603527 34277796982 44704959001 51416695473 51763636738 61175207054 77645455107 89409918002 91762810581 102833390946 134114877003 155290910214 183525621162 268229754006 336463638797 491754549011 581164467013 672927277594 983509098022 1009390916391 1162328934026 1475263647033 1743493401039 2018781832782 2950527294066 3486986802078 6392809137143 12785618274286 19178427411429 38356854822858