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542264462245 = 511192851182011
BaseRepresentation
bin1111110010000010111…
…10110000101110100101
31220211200100020211222001
413321001132300232211
532341024200242440
61053040213205301
754114550610032
oct7710136605645
91824610224861
10542264462245
11199a78174540
1289117330831
133c19b3b1a0c
141c36244c389
15e18b31bb9a
hex7e417b0ba5

542264462245 has 32 divisors (see below), whose sum is σ = 747501442560. Its totient is φ = 373484520000.

The previous prime is 542264462237. The next prime is 542264462281.

542264462245 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 542264462245 - 23 = 542264462237 is a prime.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 542264462195 and 542264462204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2888290 + ... + 3070300.

It is an arithmetic number, because the mean of its divisors is an integer number (23359420080).

Almost surely, 2542264462245 is an apocalyptic number.

542264462245 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

542264462245 is a deficient number, since it is larger than the sum of its proper divisors (205236980315).

542264462245 is a wasteful number, since it uses less digits than its factorization.

542264462245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184897.

The product of its digits is 3686400, while the sum is 46.

The spelling of 542264462245 in words is "five hundred forty-two billion, two hundred sixty-four million, four hundred sixty-two thousand, two hundred forty-five".

Divisors: 1 5 11 19 55 95 209 1045 2851 14255 31361 54169 156805 182011 270845 595859 910055 2002121 2979295 3458209 10010605 17291045 38040299 190201495 518913361 2594566805 5708046971 9859353859 28540234855 49296769295 108452892449 542264462245