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42129380576 = 256432047501
BaseRepresentation
bin100111001111000110…
…110101010011100000
311000202001212021111202
4213033012311103200
51142240110134301
631204242500332
73021001553303
oct471706652340
9130661767452
1042129380576
1116959a341a8
1281b90646a8
133c8528947a
142079304b3a
15116890466b
hex9cf1b54e0

42129380576 has 24 divisors (see below), whose sum is σ = 83071251144. Its totient is φ = 21031920000.

The previous prime is 42129380551. The next prime is 42129380593. The reversal of 42129380576 is 67508392124.

42129380576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 42129380576.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1003175 + ... + 1044326.

It is an arithmetic number, because the mean of its divisors is an integer number (3461302131).

It is a 1-persistent number, because it is pandigital, but 2⋅42129380576 = 84258761152 is not.

Almost surely, 242129380576 is an apocalyptic number.

It is an amenable number.

42129380576 is a deficient number, since it is larger than the sum of its proper divisors (40941870568).

42129380576 is a wasteful number, since it uses less digits than its factorization.

42129380576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2048154 (or 2048146 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 47.

The spelling of 42129380576 in words is "forty-two billion, one hundred twenty-nine million, three hundred eighty thousand, five hundred seventy-six".

Divisors: 1 2 4 8 16 32 643 1286 2572 5144 10288 20576 2047501 4095002 8190004 16380008 32760016 65520032 1316543143 2633086286 5266172572 10532345144 21064690288 42129380576