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64854243856134 = 232191074703376837
BaseRepresentation
bin11101011111100000011100…
…01010101100111100000110
322111122000010202121100200200
432233300032022230330012
532000032442411344014
6345533343414551330
716442364423055665
oct1657601612547406
9274560122540620
1064854243856134
1119734591a01437
12733522b068546
132a25962685a85
141202d681dcddc
1577701b088a09
hex3afc0e2acf06

64854243856134 has 96 divisors (see below), whose sum is σ = 149327694996480. Its totient is φ = 20284515118656.

The previous prime is 64854243856111. The next prime is 64854243856139. The reversal of 64854243856134 is 43165834245846.

64854243856134 is a `hidden beast` number, since 6 + 4 + 8 + 5 + 4 + 2 + 4 + 3 + 8 + 5 + 613 + 4 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64854243856139) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 171913164 + ... + 172290000.

It is an arithmetic number, because the mean of its divisors is an integer number (1555496822880).

Almost surely, 264854243856134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64854243856134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74663847498240).

64854243856134 is an abundant number, since it is smaller than the sum of its proper divisors (84473451140346).

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

64854243856134 is a wasteful number, since it uses less digits than its factorization.

64854243856134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381674 (or 381671 counting only the distinct ones).

The product of its digits is 265420800, while the sum is 63.

The spelling of 64854243856134 in words is "sixty-four trillion, eight hundred fifty-four billion, two hundred forty-three million, eight hundred fifty-six thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 19 38 57 107 114 171 214 321 342 642 963 1926 2033 4066 4703 6099 9406 12198 14109 18297 28218 36594 42327 84654 89357 178714 268071 376837 503221 536142 753674 804213 1006442 1130511 1509663 1608426 2261022 3019326 3391533 4528989 6783066 7159903 9057978 9561199 14319806 19122398 21479709 28683597 40321559 42959418 57367194 64439127 80643118 86050791 120964677 128878254 172101582 241929354 362894031 725788062 766109621 1532219242 1772264411 2298328863 3544528822 4596657726 5316793233 6894986589 10633586466 13789973178 15950379699 31900759398 33673023809 67346047618 101019071427 189632291977 202038142854 303057214281 379264583954 568896875931 606114428562 1137793751862 1706690627793 3413381255586 3603013547563 7206027095126 10809040642689 21618081285378 32427121928067 64854243856134