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42984000801 = 3273126878191
BaseRepresentation
bin101000000010000010…
…111100110100100001
311002221121222111001200
4220002002330310201
51201012401011201
631425132151413
73051116656410
oct500202746441
9132847874050
1042984000801
1117258391005
1283b7308569
134090354701
14211aa0b477
1511b896a386
hexa020bcd21

42984000801 has 48 divisors (see below), whose sum is σ = 73282879488. Its totient is φ = 23758207200.

The previous prime is 42984000797. The next prime is 42984000803. The reversal of 42984000801 is 10800048924.

It is not a de Polignac number, because 42984000801 - 22 = 42984000797 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42984000803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5243616 + ... + 5251806.

It is an arithmetic number, because the mean of its divisors is an integer number (1526726656).

Almost surely, 242984000801 is an apocalyptic number.

42984000801 is the 169281-st pentagonal number.

It is an amenable number.

42984000801 is a deficient number, since it is larger than the sum of its proper divisors (30298878687).

42984000801 is a wasteful number, since it uses less digits than its factorization.

42984000801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10922 (or 10919 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 42984000801 in words is "forty-two billion, nine hundred eighty-four million, eight hundred one", and thus it is an aban number.

Divisors: 1 3 7 9 21 31 63 93 217 279 651 1953 2687 8061 8191 18809 24183 24573 56427 57337 73719 83297 169281 172011 249891 253921 516033 583079 749673 761763 1749237 1777447 2285289 5247711 5332341 15997023 22009217 66027651 154064519 198082953 462193557 682285727 1386580671 2046857181 4776000089 6140571543 14328000267 42984000801