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85466100166458 = 23113361938518127
BaseRepresentation
bin10011011011101100100000…
…100010100110111100111010
3102012121110221110122220000020
4103123230200202212330322
542200234033120311313
6501434330121151310
724000502430664204
oct2333544042467472
9365543843586006
1085466100166458
1125260a734a1440
129703aa002b536
13388c559a5bc3b
14171681d1d7774
159d3281ac8323
hex4dbb208a6f3a

85466100166458 has 32 divisors (see below), whose sum is σ = 186477042723840. Its totient is φ = 25898047197360.

The previous prime is 85466100166423. The next prime is 85466100166459.

It is a happy number.

85466100166458 is nontrivially palindromic in base 10.

85466100166458 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (85466100166459) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17040210 + ... + 21477917.

It is an arithmetic number, because the mean of its divisors is an integer number (5827407585120).

Almost surely, 285466100166458 is an apocalyptic number.

85466100166458 is an abundant number, since it is smaller than the sum of its proper divisors (101010942557382).

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

85466100166458 is a wasteful number, since it uses less digits than its factorization.

85466100166458 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38551762.

The product of its (nonzero) digits is 33177600, while the sum is 60.

The spelling of 85466100166458 in words is "eighty-five trillion, four hundred sixty-six billion, one hundred million, one hundred sixty-six thousand, four hundred fifty-eight".

Divisors: 1 2 3 6 11 22 33 66 33619 67238 100857 201714 369809 739618 1109427 2218854 38518127 77036254 115554381 231108762 423699397 847398794 1271098191 2542196382 1294940911613 2589881823226 3884822734839 7769645469678 14244350027743 28488700055486 42733050083229 85466100166458