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66160223406 = 23229539672473
BaseRepresentation
bin111101100111011101…
…001110010010101110
320022202211010120121200
4331213131032102232
52040444004122111
650221003110330
74531340422464
oct754735162256
9208684116550
1066160223406
11260707a3092
12109a4b123a6
136314a942b4
1432b8a8c834
151ac3489256
hexf6774e4ae

66160223406 has 96 divisors (see below), whose sum is σ = 151305485760. Its totient is φ = 20861148672.

The previous prime is 66160223387. The next prime is 66160223461. The reversal of 66160223406 is 60432206166.

66160223406 is a `hidden beast` number, since 6 + 6 + 1 + 602 + 2 + 3 + 40 + 6 = 666.

It is a super-2 number, since 2×661602234062 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26751786 + ... + 26754258.

It is an arithmetic number, because the mean of its divisors is an integer number (1576098810).

Almost surely, 266160223406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66160223406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75652742880).

66160223406 is an abundant number, since it is smaller than the sum of its proper divisors (85145262354).

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

66160223406 is a wasteful number, since it uses less digits than its factorization.

66160223406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3530 (or 3527 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 66160223406 in words is "sixty-six billion, one hundred sixty million, two hundred twenty-three thousand, four hundred six".

Divisors: 1 2 3 6 9 18 29 53 58 87 106 159 174 261 318 477 522 954 967 1537 1934 2473 2901 3074 4611 4946 5802 7419 8703 9222 13833 14838 17406 22257 27666 28043 44514 51251 56086 71717 84129 102502 131069 143434 153753 168258 215151 252387 262138 307506 393207 430302 461259 504774 645453 786414 922518 1179621 1290906 1486279 2359242 2391391 2972558 3801001 4458837 4782782 7174173 7602002 8917674 11403003 13376511 14348346 21522519 22806006 26753022 34209009 43045038 68418018 69350339 126743723 138700678 208051017 253487446 380231169 416102034 624153051 760462338 1140693507 1248306102 2281387014 3675567967 7351135934 11026703901 22053407802 33080111703 66160223406