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542015510245 = 51167147086977
BaseRepresentation
bin1111110001100101010…
…01000101011011100101
31220211000222210210000121
413320302221011123211
532340021432311440
61052555401241541
754105435551326
oct7706251053345
91824028723017
10542015510245
1119995a697190
1289067a932b1
133c15b948341
141c33b36644d
15e17454334a
hex7e32a456e5

542015510245 has 16 divisors (see below), whose sum is σ = 720137844288. Its totient is φ = 388309616640.

The previous prime is 542015510243. The next prime is 542015510279.

542015510245 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 542015510245 - 21 = 542015510243 is a prime.

It is a super-2 number, since 2×5420155102452 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 542015510245.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542015510243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73539804 + ... + 73547173.

It is an arithmetic number, because the mean of its divisors is an integer number (45008615268).

Almost surely, 2542015510245 is an apocalyptic number.

542015510245 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

542015510245 is a deficient number, since it is larger than the sum of its proper divisors (178122334043).

542015510245 is a wasteful number, since it uses less digits than its factorization.

542015510245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147087060.

The product of its (nonzero) digits is 40000, while the sum is 34.

The spelling of 542015510245 in words is "five hundred forty-two billion, fifteen million, five hundred ten thousand, two hundred forty-five".

Divisors: 1 5 11 55 67 335 737 3685 147086977 735434885 1617956747 8089783735 9854827459 49274137295 108403102049 542015510245