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42295751505 = 335744757409
BaseRepresentation
bin100111011001000001…
…011111001101010001
311001011122220210112000
4213121001133031101
51143110203022010
631232544424213
73025061645610
oct473101371521
9131148823460
1042295751505
1116a34938137
128244918069
133cb089a9c7
142093451877
1511783197c0
hex9d905f351

42295751505 has 32 divisors (see below), whose sum is σ = 85934227200. Its totient is φ = 19335200256.

The previous prime is 42295751447. The next prime is 42295751521. The reversal of 42295751505 is 50515759224.

42295751505 is a `hidden beast` number, since 4 + 2 + 2 + 95 + 7 + 51 + 505 = 666.

42295751505 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 42295751505 - 220 = 42294702929 is a prime.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22377760 + ... + 22379649.

It is an arithmetic number, because the mean of its divisors is an integer number (2685444600).

Almost surely, 242295751505 is an apocalyptic number.

42295751505 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42295751505 is an abundant number, since it is smaller than the sum of its proper divisors (43638475695).

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

42295751505 is a wasteful number, since it uses less digits than its factorization.

42295751505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44757430 (or 44757424 counting only the distinct ones).

The product of its (nonzero) digits is 630000, while the sum is 45.

The spelling of 42295751505 in words is "forty-two billion, two hundred ninety-five million, seven hundred fifty-one thousand, five hundred five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 44757409 134272227 223787045 313301863 402816681 671361135 939905589 1208450043 1566509315 2014083405 2819716767 4699527945 6042250215 8459150301 14098583835 42295751505