Search a number
-
+
368281313728 = 2612745310201
BaseRepresentation
bin1010101101111110100…
…01101110000111000000
31022012121011021011021121
411112333101232013000
522013220004014403
6441104110402024
735415232342006
oct5267721560700
91265534234247
10368281313728
11132207222999
125b460800314
1328962186523
1413b797aaa76
1598a6e793bd
hex55bf46e1c0

368281313728 has 28 divisors (see below), whose sum is σ = 736562643712. Its totient is φ = 182690726400.

The previous prime is 368281313723. The next prime is 368281313731. The reversal of 368281313728 is 827313182863.

368281313728 is an admirable number.

It is a super-2 number, since 2×3682813137282 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (368281313723) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22646973 + ... + 22663228.

It is an arithmetic number, because the mean of its divisors is an integer number (26305808704).

Almost surely, 2368281313728 is an apocalyptic number.

It is an amenable number.

368281313728 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

368281313728 is a wasteful number, since it uses less digits than its factorization.

368281313728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45310340 (or 45310330 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 52.

The spelling of 368281313728 in words is "three hundred sixty-eight billion, two hundred eighty-one million, three hundred thirteen thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 127 254 508 1016 2032 4064 8128 45310201 90620402 181240804 362481608 724963216 1449926432 2899852864 5754395527 11508791054 23017582108 46035164216 92070328432 184140656864 368281313728