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42634635525 = 3752978039
BaseRepresentation
bin100111101101001110…
…001110100100000101
311002001021120220000000
4213231032032210011
51144303431314100
631330332111513
73036345264636
oct475516164405
9132037526000
1042634635525
111709915a779
12831a305599
134035b613b1
1420c646788d
151197e59900
hex9ed38e905

42634635525 has 96 divisors (see below), whose sum is σ = 80115705600. Its totient is φ = 22501255680.

The previous prime is 42634635479. The next prime is 42634635541. The reversal of 42634635525 is 52553643624.

42634635525 is a `hidden beast` number, since 4 + 2 + 6 + 3 + 4 + 635 + 5 + 2 + 5 = 666.

42634635525 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42634635525 - 211 = 42634633477 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5299456 + ... + 5307494.

It is an arithmetic number, because the mean of its divisors is an integer number (834538600).

Almost surely, 242634635525 is an apocalyptic number.

42634635525 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42634635525 is a deficient number, since it is larger than the sum of its proper divisors (37481070075).

42634635525 is an frugal number, since it uses more digits than its factorization.

42634635525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8167 (or 8144 counting only the distinct ones).

The product of its digits is 2592000, while the sum is 45.

The spelling of 42634635525 in words is "forty-two billion, six hundred thirty-four million, six hundred thirty-five thousand, five hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 97 135 225 243 291 405 485 675 729 873 1215 1455 2025 2187 2425 2619 3645 4365 6075 7275 7857 8039 10935 13095 18225 21825 23571 24117 39285 40195 54675 65475 70713 72351 117855 120585 196425 200975 212139 217053 353565 361755 589275 602925 651159 779783 1060695 1085265 1767825 1808775 1953477 2339349 3255795 3898915 5303475 5426325 5860431 7018047 9767385 11696745 16278975 17581293 19494575 21054141 29302155 35090235 48836925 58483725 63162423 87906465 105270705 146510775 175451175 189487269 315812115 439532325 526353525 568461807 947436345 1579060575 1705385421 2842309035 4737181725 8526927105 14211545175 42634635525