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893696682168 = 233239786336229
BaseRepresentation
bin11010000000101000111…
…10010010100010111000
310011102210020222100201100
431000110132102202320
5104120242322312133
61522320353251400
7121365431313423
oct15002436224270
93142706870640
10893696682168
11315018529914
12125255263b60
1366376900344
14313801bc9ba
15183a8e7be13
hexd0147928b8

893696682168 has 96 divisors (see below), whose sum is σ = 2429404099200. Its totient is φ = 296796006144.

The previous prime is 893696682167. The next prime is 893696682169. The reversal of 893696682168 is 861286696398.

It is an interprime number because it is at equal distance from previous prime (893696682167) and next prime (893696682169).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 893696682096 and 893696682105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (893696682167) 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, 24649878 + ... + 24686106.

It is an arithmetic number, because the mean of its divisors is an integer number (25306292700).

Almost surely, 2893696682168 is an apocalyptic number.

It is an amenable number.

893696682168 is an abundant number, since it is smaller than the sum of its proper divisors (1535707417032).

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

893696682168 is a wasteful number, since it uses less digits than its factorization.

893696682168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37501 (or 37494 counting only the distinct ones).

The product of its digits is 322486272, while the sum is 72.

The spelling of 893696682168 in words is "eight hundred ninety-three billion, six hundred ninety-six million, six hundred eighty-two thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 397 794 863 1191 1588 1726 2382 2589 3176 3452 3573 4764 5178 6904 7146 7767 9528 10356 14292 15534 20712 28584 31068 36229 62136 72458 108687 144916 217374 289832 326061 342611 434748 652122 685222 869496 1027833 1304244 1370444 2055666 2608488 2740888 3083499 4111332 6166998 8222664 12333996 14382913 24667992 28765826 31265627 43148739 57531652 62531254 86297478 93796881 115063304 125062508 129446217 172594956 187593762 250125016 258892434 281390643 345189912 375187524 517784868 562781286 750375048 1035569736 1125562572 2251125144 12412453919 24824907838 37237361757 49649815676 74474723514 99299631352 111712085271 148949447028 223424170542 297898894056 446848341084 893696682168