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416663342112 = 2536171151527
BaseRepresentation
bin1100001000000110001…
…00100000110000100000
31110211110222120212002210
412010003010200300200
523311311303421422
6515225033242120
742050206654233
oct6040304406040
91424428525083
10416663342112
11150784659a16
1268903863340
13303a296a3a4
141624928941a
15ac8977010c
hex6103120c20

416663342112 has 48 divisors (see below), whose sum is σ = 1111671473472. Its totient is φ = 136610929920.

The previous prime is 416663342093. The next prime is 416663342141. The reversal of 416663342112 is 211243366614.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35569908 + ... + 35581619.

It is an arithmetic number, because the mean of its divisors is an integer number (23159822364).

Almost surely, 2416663342112 is an apocalyptic number.

It is an amenable number.

416663342112 is an abundant number, since it is smaller than the sum of its proper divisors (695008131360).

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

416663342112 is a wasteful number, since it uses less digits than its factorization.

416663342112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71151601 (or 71151593 counting only the distinct ones).

The product of its digits is 124416, while the sum is 39.

The spelling of 416663342112 in words is "four hundred sixteen billion, six hundred sixty-three million, three hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 96 122 183 244 366 488 732 976 1464 1952 2928 5856 71151527 142303054 213454581 284606108 426909162 569212216 853818324 1138424432 1707636648 2276848864 3415273296 4340243147 6830546592 8680486294 13020729441 17360972588 26041458882 34721945176 52082917764 69443890352 104165835528 138887780704 208331671056 416663342112