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6540642656046 = 23710631140659
BaseRepresentation
bin101111100101101110010…
…1011101001111100101110
3212011021112122002010000000
41133023130223221330232
51324130214004443141
621524421343245130
71243355136160242
oct137133453517456
925137478063000
106540642656046
1120a19642a0994
12897753ba97a6
13385a1a742475
141887d6aac422
15b520cbe95b6
hex5f2dcae9f2e

6540642656046 has 64 divisors (see below), whose sum is σ = 14715691660800. Its totient is φ = 2179993639320.

The previous prime is 6540642656021. The next prime is 6540642656047. The reversal of 6540642656046 is 6406562460456.

6540642656046 is a `hidden beast` number, since 6 + 5 + 4 + 0 + 6 + 4 + 26 + 5 + 604 + 6 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 6540642655983 and 6540642656001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6540642656047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46429665 + ... + 46570323.

It is an arithmetic number, because the mean of its divisors is an integer number (229932682200).

Almost surely, 26540642656046 is an apocalyptic number.

6540642656046 is an abundant number, since it is smaller than the sum of its proper divisors (8175049004754).

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

6540642656046 is a wasteful number, since it uses less digits than its factorization.

6540642656046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151313 (or 151295 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 54.

The spelling of 6540642656046 in words is "six trillion, five hundred forty billion, six hundred forty-two million, six hundred fifty-six thousand, forty-six".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 729 1458 2187 4374 10631 21262 31893 63786 95679 140659 191358 281318 287037 421977 574074 843954 861111 1265931 1722222 2531862 2583333 3797793 5166666 7595586 7749999 11393379 15499998 22786758 23249997 34180137 46499994 68360274 102540411 205080822 307621233 615242466 1495345829 2990691658 4486037487 8972074974 13458112461 26916224922 40374337383 80748674766 121123012149 242246024298 363369036447 726738072894 1090107109341 2180214218682 3270321328023 6540642656046