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42475579335 = 3357288715569
BaseRepresentation
bin100111100011101111…
…011110011111000111
311001122012021222221000
4213203233132133013
51143442222014320
631302451024343
73032404316160
oct474357363707
9131565258830
1042475579335
11170173a2482
128294b9b0b3
13400bc113c7
1420ad2a2767
151188edbc90
hex9e3bde7c7

42475579335 has 64 divisors (see below), whose sum is σ = 86335027200. Its totient is φ = 19409435136.

The previous prime is 42475579309. The next prime is 42475579339. The reversal of 42475579335 is 53397557424.

42475579335 is a `hidden beast` number, since 4 + 2 + 475 + 57 + 93 + 35 = 666.

It is not a de Polignac number, because 42475579335 - 27 = 42475579207 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42475579339) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2720431 + ... + 2735999.

It is an arithmetic number, because the mean of its divisors is an integer number (1348984800).

Almost surely, 242475579335 is an apocalyptic number.

42475579335 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42475579335 is an abundant number, since it is smaller than the sum of its proper divisors (43859447865).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42475579335 is a wasteful number, since it uses less digits than its factorization.

42475579335 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18477 (or 18471 counting only the distinct ones).

The product of its digits is 15876000, while the sum is 54.

The spelling of 42475579335 in words is "forty-two billion, four hundred seventy-five million, five hundred seventy-nine thousand, three hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 2887 8661 14435 15569 20209 25983 43305 46707 60627 77845 77949 101045 108983 129915 140121 181881 233535 303135 326949 389745 420363 544915 545643 700605 909405 980847 1634745 2101815 2728215 2942541 4904235 14712705 44947703 134843109 224738515 314633921 404529327 674215545 943901763 1213587981 1573169605 2022646635 2831705289 4719508815 6067939905 8495115867 14158526445 42475579335