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42533125101525 = 35228113007155161
BaseRepresentation
bin10011010101111000000111…
…10100000001011111010101
312120121010102121201002021010
421222330003310001133111
521033330320011222100
6230243240430242433
711646626330122242
oct1152740364013725
9176533377632233
1042533125101525
1112609219313413
12492b255656419
131a96b19918196
14a708856865c9
154db5b69ac750
hex26af03d017d5

42533125101525 has 48 divisors (see below), whose sum is σ = 70577568246528. Its totient is φ = 22601722752000.

The previous prime is 42533125101517. The next prime is 42533125101529. The reversal of 42533125101525 is 52510152133524.

42533125101525 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 42533125101525 - 23 = 42533125101517 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42533125101529) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 274044945 + ... + 274200105.

It is an arithmetic number, because the mean of its divisors is an integer number (1470366005136).

Almost surely, 242533125101525 is an apocalyptic number.

It is an amenable number.

42533125101525 is a deficient number, since it is larger than the sum of its proper divisors (28044443145003).

42533125101525 is a wasteful number, since it uses less digits than its factorization.

42533125101525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168462 (or 168457 counting only the distinct ones).

The product of its (nonzero) digits is 180000, while the sum is 39.

The spelling of 42533125101525 in words is "forty-two trillion, five hundred thirty-three billion, one hundred twenty-five million, one hundred one thousand, five hundred twenty-five".

Divisors: 1 3 5 15 25 75 281 843 1405 4215 7025 13007 21075 39021 65035 155161 195105 325175 465483 775805 975525 2327415 3654967 3879025 10964901 11637075 18274835 43600241 54824505 91374175 130800723 218001205 274122525 654003615 1090006025 2018179127 3270018075 6054537381 10090895635 30272686905 50454478175 151363434525 567108334687 1701325004061 2835541673435 8506625020305 14177708367175 42533125101525