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6564704242041 = 32112312726984391
BaseRepresentation
bin101111110000111011011…
…0111010100100101111001
3212020120122112012022210200
41133201312313110211321
51330024003241221131
621543441122432413
71245166330241601
oct137416667244571
925216575168720
106564704242041
112101091448650
128a034a202709
1338808372260a
14189a3a579c01
15b5b6a3032e6
hex5f876dd4979

6564704242041 has 96 divisors (see below), whose sum is σ = 10919703674880. Its totient is φ = 3761579606400.

The previous prime is 6564704242021. The next prime is 6564704242067. The reversal of 6564704242041 is 1402424074656.

It is a happy number.

6564704242041 is a `hidden beast` number, since 6 + 564 + 7 + 0 + 4 + 2 + 42 + 0 + 41 = 666.

It is not a de Polignac number, because 6564704242041 - 223 = 6564695853433 is a prime.

It is a super-2 number, since 2×65647042420412 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6564704242021) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 77746956 + ... + 77831346.

It is an arithmetic number, because the mean of its divisors is an integer number (113746913280).

Almost surely, 26564704242041 is an apocalyptic number.

It is an amenable number.

6564704242041 is a deficient number, since it is larger than the sum of its proper divisors (4354999432839).

6564704242041 is a wasteful number, since it uses less digits than its factorization.

6564704242041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84827 (or 84824 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 6564704242041 in words is "six trillion, five hundred sixty-four billion, seven hundred four million, two hundred forty-two thousand, forty-one".

Divisors: 1 3 9 11 23 33 69 99 127 207 253 269 381 759 807 1143 1397 2277 2421 2921 2959 4191 6187 8763 8877 12573 18561 26289 26631 32131 34163 55683 68057 84391 96393 102489 204171 253173 289179 307467 375793 612513 759519 785749 928301 1127379 1940993 2357247 2784903 3382137 5822979 7071741 8354709 8643239 10717657 17468937 21350923 22701179 25929717 32152971 64052769 68103537 77789151 96458913 117894227 192158307 204310611 246506111 249712969 353682681 522127117 739518333 749138907 1061048043 1566381351 2218554999 2247416721 2711567221 2883049733 4699144053 5743398287 8134701663 8649149199 17230194861 24404104989 25947447597 31713547063 51690584583 66310143859 95140641189 198930431577 285421923567 596791294731 729411582449 2188234747347 6564704242041