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146716440012612 = 22327199157922097
BaseRepresentation
bin100001010111000000010101…
…010010100010011101000100
3201020110221202222001122212100
4201113000111102202131010
5123212300232120400422
61240012334013552100
742621625104315561
oct4127002522423504
9636427688048770
10146716440012612
1142826102552078
1214556766aa5630
1363b33bb1a4432
142833183971868
1511e667098b7ac
hex8570154a2744

146716440012612 has 72 divisors (see below), whose sum is σ = 376469541407232. Its totient is φ = 48168015033600.

The previous prime is 146716440012601. The next prime is 146716440012613. The reversal of 146716440012612 is 216210044617641.

146716440012612 is a `hidden beast` number, since 1 + 4 + 6 + 7 + 16 + 4 + 4 + 0 + 0 + 12 + 612 = 666.

It is not an unprimeable number, because it can be changed into a prime (146716440012613) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26428053 + ... + 31494044.

It is an arithmetic number, because the mean of its divisors is an integer number (5228743630656).

Almost surely, 2146716440012612 is an apocalyptic number.

146716440012612 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

146716440012612 is an abundant number, since it is smaller than the sum of its proper divisors (229753101394620).

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

146716440012612 is a wasteful number, since it uses less digits than its factorization.

146716440012612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57923169 (or 57923164 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 146716440012612 in words is "one hundred forty-six trillion, seven hundred sixteen billion, four hundred forty million, twelve thousand, six hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 71 142 213 284 426 639 852 991 1278 1982 2556 2973 3964 5946 8919 11892 17838 35676 70361 140722 211083 281444 422166 633249 844332 1266498 2532996 57922097 115844194 173766291 231688388 347532582 521298873 695065164 1042597746 2085195492 4112468887 8224937774 12337406661 16449875548 24674813322 37012219983 49349626644 57400798127 74024439966 114801596254 148048879932 172202394381 229603192508 344404788762 516607183143 688809577524 1033214366286 2066428732572 4075456667017 8150913334034 12226370001051 16301826668068 24452740002102 36679110003153 48905480004204 73358220006306 146716440012612