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6541053149997 = 321971965778089
BaseRepresentation
bin101111100101111010100…
…1001100100001100101101
3212011022121020111100211200
41133023311021210030231
51324132034101244442
621524530205440113
71243401252256512
oct137136511441455
925138536440750
106541053149997
1120a2054a84093
12897849570039
13385a847b93b2
14188835405309
15b5233c8234c
hex5f2f526432d

6541053149997 has 48 divisors (see below), whose sum is σ = 9962038944000. Its totient is φ = 4124308534272.

The previous prime is 6541053149941. The next prime is 6541053150007. The reversal of 6541053149997 is 7999413501456.

6541053149997 is a `hidden beast` number, since 6 + 5 + 4 + 1 + 0 + 53 + 1 + 499 + 97 = 666.

It is not a de Polignac number, because 6541053149997 - 236 = 6472333673261 is a prime.

It is a super-2 number, since 2×65410531499972 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6541053147997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 808631529 + ... + 808639617.

It is an arithmetic number, because the mean of its divisors is an integer number (207542478000).

Almost surely, 26541053149997 is an apocalyptic number.

It is an amenable number.

6541053149997 is a deficient number, since it is larger than the sum of its proper divisors (3420985794003).

6541053149997 is a wasteful number, since it uses less digits than its factorization.

6541053149997 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15410 (or 15407 counting only the distinct ones).

The product of its (nonzero) digits is 36741600, while the sum is 63.

The spelling of 6541053149997 in words is "six trillion, five hundred forty-one billion, fifty-three million, one hundred forty-nine thousand, nine hundred ninety-seven".

Divisors: 1 3 9 19 57 171 719 2157 6471 6577 8089 13661 19731 24267 40983 59193 72801 122949 124963 153691 374889 461073 1124667 1383219 4728863 5815991 14186589 17447973 42559767 52343919 53201353 89848397 110503829 159604059 269545191 331511487 478812177 808635573 994534461 1010825707 3032477121 9097431363 38251772807 114755318421 344265955263 726783683333 2180351049999 6541053149997