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542413546045614 = 23345074449150093
BaseRepresentation
bin111101101010100100111111…
…0101110111100000010101110
32122010112020011122012021221000
41323111021332232330002232
51032043400420241424424
65201341202034021130
7222152041215100035
oct17325117656740256
92563466148167830
10542413546045614
11147914325061641
1250a034671177a6
131a3874bb38a149
1497d2d5465371c
1542a964b3543c9
hex1ed527ebbc0ae

542413546045614 has 64 divisors (see below), whose sum is σ = 1205682044878080. Its totient is φ = 180756727532640.

The previous prime is 542413546045573. The next prime is 542413546045621. The reversal of 542413546045614 is 416540645314245.

542413546045614 is a `hidden beast` number, since 5 + 4 + 2 + 4 + 1 + 35 + 46 + 0 + 4 + 561 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10828105552 + ... + 10828155644.

It is an arithmetic number, because the mean of its divisors is an integer number (18838781951220).

Almost surely, 2542413546045614 is an apocalyptic number.

542413546045614 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

542413546045614 is an abundant number, since it is smaller than the sum of its proper divisors (663268498832466).

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

542413546045614 is a wasteful number, since it uses less digits than its factorization.

542413546045614 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99102 (or 99096 counting only the distinct ones).

The product of its (nonzero) digits is 27648000, while the sum is 54.

The spelling of 542413546045614 in words is "five hundred forty-two trillion, four hundred thirteen billion, five hundred forty-six million, forty-five thousand, six hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 4507 9014 13521 27042 40563 44491 50093 81126 88982 100186 121689 133473 150279 243378 266946 300558 400419 450837 800838 901674 1201257 1352511 2402514 2705022 200520937 225769151 401041874 451538302 601562811 677307453 1203125622 1354614906 1804688433 2031922359 2228687663 3609376866 4063844718 4457375326 5414065299 6095767077 6686062989 10828130598 12191534154 13372125978 20058188967 40116377934 60174566901 120349133802 10044695297141 20089390594282 30134085891423 60268171782846 90402257674269 180804515348538 271206773022807 542413546045614