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542020401065 = 511137985711197
BaseRepresentation
bin1111110001100101110…
…11101111011110101001
31220211001100000020222002
413320302323233132221
532340024210313230
61053000054140345
754105525251303
oct7706273573651
91824040006862
10542020401065
11199962427790
12890696516b5
133c15c96b510
141c33bc7a973
15e174bac545
hex7e32eef7a9

542020401065 has 64 divisors (see below), whose sum is σ = 774779765760. Its totient is φ = 358816573440.

The previous prime is 542020401059. The next prime is 542020401107. The reversal of 542020401065 is 560104020245.

It is not a de Polignac number, because 542020401065 - 24 = 542020401049 is a prime.

It is a super-3 number, since 3×5420204010653 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48402047 + ... + 48413243.

It is an arithmetic number, because the mean of its divisors is an integer number (12105933840).

Almost surely, 2542020401065 is an apocalyptic number.

542020401065 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

542020401065 is a deficient number, since it is larger than the sum of its proper divisors (232759364695).

542020401065 is a wasteful number, since it uses less digits than its factorization.

542020401065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12162.

The product of its (nonzero) digits is 9600, while the sum is 29.

The spelling of 542020401065 in words is "five hundred forty-two billion, twenty million, four hundred one thousand, sixty-five".

Divisors: 1 5 11 13 55 65 79 143 395 715 857 869 1027 4285 4345 5135 9427 11141 11197 11297 47135 55705 55985 56485 67703 122551 123167 145561 338515 612755 615835 727805 744733 880139 884563 1601171 3723665 4400695 4422815 8005855 9595829 9681529 9730193 11499319 47979145 48407645 48650965 57496595 105554119 124745777 126492509 527770595 623728885 632462545 758070491 1372203547 3790352455 6861017735 8338775401 9854916383 41693877005 49274581915 108404080213 542020401065