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38164812231 = 3721373793463
BaseRepresentation
bin100011100010110011…
…001101000111000111
310122111202211100011010
4203202303031013013
51111130142442411
625311020213303
72520521360100
oct434263150707
9118452740133
1038164812231
1115205050337
12749139a233
1337a2ac2140
141bc09753a7
15ed582c7a6
hex8e2ccd1c7

38164812231 has 96 divisors (see below), whose sum is σ = 65457960960. Its totient is φ = 19598132736.

The previous prime is 38164812229. The next prime is 38164812253. The reversal of 38164812231 is 13221846183.

38164812231 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 38164812231 - 21 = 38164812229 is a prime.

It is a super-2 number, since 2×381648122312 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 38164812231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38164812131) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11019006 + ... + 11022468.

It is an arithmetic number, because the mean of its divisors is an integer number (681853760).

Almost surely, 238164812231 is an apocalyptic number.

38164812231 is a deficient number, since it is larger than the sum of its proper divisors (27293148729).

38164812231 is a wasteful number, since it uses less digits than its factorization.

38164812231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3645 (or 3638 counting only the distinct ones).

The product of its digits is 55296, while the sum is 39.

The spelling of 38164812231 in words is "thirty-eight billion, one hundred sixty-four million, eight hundred twelve thousand, two hundred thirty-one".

Divisors: 1 3 7 13 21 39 49 73 79 91 147 219 237 273 511 553 637 949 1027 1533 1659 1911 2847 3081 3463 3577 3871 5767 6643 7189 10389 10731 11613 17301 19929 21567 24241 40369 45019 46501 50323 72723 74971 121107 135057 139503 150969 169687 224913 252799 273577 282583 315133 509061 524797 758397 820731 847749 945399 1574391 1769593 1915039 2205931 3286387 3556501 3673579 5308779 5745117 6617793 9859161 10669503 11020737 12387151 13405273 19971121 23004709 24895507 37161453 40215819 59913363 69014127 74686521 139797847 161032963 174268549 259624573 419393541 483098889 522805647 778873719 978584929 1817372011 2935754787 5452116033 12721604077 38164812231