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542251021005 = 32512050022689
BaseRepresentation
bin1111110010000001010…
…11011111001011001101
31220211122101221222001100
413321000223133023031
532341012230133010
61053035013133313
754114325425531
oct7710053371315
91824571858040
10542251021005
11199a70623981
128911292a239
133c198686a15
141c36074dbc1
15e18a0642c0
hex7e40adf2cd

542251021005 has 12 divisors (see below), whose sum is σ = 939901769820. Its totient is φ = 289200544512.

The previous prime is 542251020929. The next prime is 542251021009. The reversal of 542251021005 is 500120152245.

542251021005 is a `hidden beast` number, since 5 + 42 + 2 + 510 + 2 + 100 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 129898251396 + 412352769609 = 360414^2 + 642147^2 .

It is not a de Polignac number, because 542251021005 - 216 = 542250955469 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 542251021005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542251021009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6025011300 + ... + 6025011389.

It is an arithmetic number, because the mean of its divisors is an integer number (78325147485).

Almost surely, 2542251021005 is an apocalyptic number.

It is an amenable number.

542251021005 is a deficient number, since it is larger than the sum of its proper divisors (397650748815).

542251021005 is a wasteful number, since it uses less digits than its factorization.

542251021005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12050022700 (or 12050022697 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The spelling of 542251021005 in words is "five hundred forty-two billion, two hundred fifty-one million, twenty-one thousand, five".

Divisors: 1 3 5 9 15 45 12050022689 36150068067 60250113445 108450204201 180750340335 542251021005