Search a number
-
+
6745365936 = 243367323201
BaseRepresentation
bin1100100100000111…
…00001110110110000
3122102002121002112000
412102003201312300
5102303303202221
63033200334000
7326104443621
oct62203416660
918362532460
106745365936
1129516462a1
121383014300
138366301ba
1447dbd5a48
152972bbe26
hex1920e1db0

6745365936 has 80 divisors (see below), whose sum is σ = 19391303520. Its totient is φ = 2245017600.

The previous prime is 6745365911. The next prime is 6745365937. The reversal of 6745365936 is 6395635476.

6745365936 is a `hidden beast` number, since 6 + 7 + 45 + 3 + 6 + 593 + 6 = 666.

It is a super-2 number, since 2×67453659362 = 90999923221098312192, which 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 (6745365937) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 279136 + ... + 302336.

It is an arithmetic number, because the mean of its divisors is an integer number (242391294).

Almost surely, 26745365936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6745365936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9695651760).

6745365936 is an abundant number, since it is smaller than the sum of its proper divisors (12645937584).

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

6745365936 is a wasteful number, since it uses less digits than its factorization.

6745365936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23891 (or 23879 counting only the distinct ones).

The product of its digits is 12247200, while the sum is 54.

The square root of 6745365936 is about 82130.1767683475. The cubic root of 6745365936 is about 1889.4489902941.

The spelling of 6745365936 in words is "six billion, seven hundred forty-five million, three hundred sixty-five thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 673 1346 2019 2692 4038 5384 6057 8076 10768 12114 16152 18171 23201 24228 32304 36342 46402 48456 69603 72684 92804 96912 139206 145368 185608 208809 278412 290736 371216 417618 556824 626427 835236 1113648 1252854 1670472 2505708 3340944 5011416 10022832 15614273 31228546 46842819 62457092 93685638 124914184 140528457 187371276 249828368 281056914 374742552 421585371 562113828 749485104 843170742 1124227656 1686341484 2248455312 3372682968 6745365936