Search a number
-
+
6942436992 = 27332008807
BaseRepresentation
bin1100111011100110…
…10010111010000000
3122220211102100012000
412131303102322000
5103204230440432
63104520304000
7334016512041
oct63563227200
918824370160
106942436992
112a42908737
121419012000
138684002aa
1449c0548c8
152a974857c
hex19dcd2e80

6942436992 has 64 divisors (see below), whose sum is σ = 20489841600. Its totient is φ = 2314144512.

The previous prime is 6942436979. The next prime is 6942436997. The reversal of 6942436992 is 2996342496.

It is a tau number, because it is divible by the number of its divisors (64).

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

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

It is not an unprimeable number, because it can be changed into a prime (6942436997) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1000948 + ... + 1007859.

It is an arithmetic number, because the mean of its divisors is an integer number (320153775).

Almost surely, 26942436992 is an apocalyptic number.

It is an amenable number.

6942436992 is an abundant number, since it is smaller than the sum of its proper divisors (13547404608).

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

6942436992 is a wasteful number, since it uses less digits than its factorization.

6942436992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2008830 (or 2008812 counting only the distinct ones).

The product of its digits is 5038848, while the sum is 54.

The square root of 6942436992 is about 83321.2877480899. The cubic root of 6942436992 is about 1907.6732164529.

The spelling of 6942436992 in words is "six billion, nine hundred forty-two million, four hundred thirty-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 2008807 4017614 6026421 8035228 12052842 16070456 18079263 24105684 32140912 36158526 48211368 54237789 64281824 72317052 96422736 108475578 128563648 144634104 192845472 216951156 257127296 289268208 385690944 433902312 578536416 771381888 867804624 1157072832 1735609248 2314145664 3471218496 6942436992