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42005524100 = 2252715916271
BaseRepresentation
bin100111000111101110…
…010110111010000100
311000102102210201100212
4213013232112322010
51142011403232400
631144100054552
73014636030561
oct470756267204
9130372721325
1042005524100
11168a6028a81
128183694458
133c65712107
142066aa3868
15115cadb335
hex9c7b96e84

42005524100 has 36 divisors (see below), whose sum is σ = 92435833728. Its totient is φ = 16565556000.

The previous prime is 42005524097. The next prime is 42005524103. The reversal of 42005524100 is 142550024.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42005524097) and next prime (42005524103).

It is not an unprimeable number, because it can be changed into a prime (42005524103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2951036 + ... + 2965235.

It is an arithmetic number, because the mean of its divisors is an integer number (2567662048).

Almost surely, 242005524100 is an apocalyptic number.

It is an amenable number.

42005524100 is an abundant number, since it is smaller than the sum of its proper divisors (50430309628).

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

42005524100 is a wasteful number, since it uses less digits than its factorization.

42005524100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5916356 (or 5916349 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

The spelling of 42005524100 in words is "forty-two billion, five million, five hundred twenty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 71 100 142 284 355 710 1420 1775 3550 7100 5916271 11832542 23665084 29581355 59162710 118325420 147906775 295813550 420055241 591627100 840110482 1680220964 2100276205 4200552410 8401104820 10501381025 21002762050 42005524100