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542500005245 = 511194122215701
BaseRepresentation
bin1111110010011111000…
…01010010010101111101
31220212021202110200012212
413321033201102111331
532342020000131440
61053115425510205
754123440650232
oct7711741222575
91825252420185
10542500005245
1119a089123480
12891821a2365
133c208131c83
141c385843789
15e1a1d47465
hex7e4f85257d

542500005245 has 64 divisors (see below), whose sum is σ = 766272165120. Its totient is φ = 364435200000.

The previous prime is 542500005209. The next prime is 542500005259.

542500005245 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 542500005245 - 214 = 542499988861 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 95155895 + ... + 95161595.

It is an arithmetic number, because the mean of its divisors is an integer number (11973002580).

Almost surely, 2542500005245 is an apocalyptic number.

542500005245 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

542500005245 is a deficient number, since it is larger than the sum of its proper divisors (223772159875).

542500005245 is a wasteful number, since it uses less digits than its factorization.

542500005245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7998.

The product of its (nonzero) digits is 40000, while the sum is 32.

It can be divided in two parts, 54250000 and 5245, that added together give a palindrome (54255245).

The spelling of 542500005245 in words is "five hundred forty-two billion, five hundred million, five thousand, two hundred forty-five".

Divisors: 1 5 11 19 41 55 95 205 209 451 779 1045 2221 2255 3895 5701 8569 11105 24431 28505 42199 42845 62711 91061 108319 122155 210995 233741 313555 455305 464189 541595 1001671 1168705 1191509 1730159 2320945 2571151 4441079 5008355 5957545 8650795 12661921 12855755 19031749 22205395 48851869 63309605 95158745 139281131 240576499 244259345 519138761 696405655 1202882495 2595693805 2646341489 5710526371 9863636459 13231707445 28552631855 49318182295 108500001049 542500005245