Search a number
-
+
103846835376 = 243564341539
BaseRepresentation
bin110000010110111000…
…0001111010010110000
3100221001021010211100000
41200231300033102300
53200134242213001
6115412342030000
710334264351664
oct1405560172260
9327037124300
10103846835376
114004a916499
1218162118300
139a3c7949ab
145051d048a4
152a7bd07a86
hex182dc0f4b0

103846835376 has 120 divisors (see below), whose sum is σ = 301866859840. Its totient is φ = 34560945216.

The previous prime is 103846835371. The next prime is 103846835383. The reversal of 103846835376 is 673538648301.

103846835376 is a `hidden beast` number, since 10 + 38 + 4 + 68 + 3 + 537 + 6 = 666.

It is a super-2 number, since 2×1038468353762 (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (103846835371) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2479215 + ... + 2520753.

Almost surely, 2103846835376 is an apocalyptic number.

103846835376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103846835376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150933429920).

103846835376 is an abundant number, since it is smaller than the sum of its proper divisors (198020024464).

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

103846835376 is an equidigital number, since it uses as much as digits as its factorization.

103846835376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42205 (or 42187 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 103846835376 in words is "one hundred three billion, eight hundred forty-six million, eight hundred thirty-five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 643 648 972 1286 1296 1929 1944 2572 3858 3888 5144 5787 7716 10288 11574 15432 17361 23148 30864 34722 41539 46296 52083 69444 83078 92592 104166 124617 138888 156249 166156 208332 249234 277776 312498 332312 373851 416664 498468 624996 664624 747702 833328 996936 1121553 1249992 1495404 1993872 2243106 2499984 2990808 3364659 4486212 5981616 6729318 8972424 10093977 13458636 17944848 20187954 26709577 26917272 40375908 53419154 53834544 80128731 80751816 106838308 160257462 161503632 213676616 240386193 320514924 427353232 480772386 641029848 721158579 961544772 1282059696 1442317158 1923089544 2163475737 2884634316 3846179088 4326951474 5769268632 6490427211 8653902948 11538537264 12980854422 17307805896 25961708844 34615611792 51923417688 103846835376