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42801884769 = 3729412237687
BaseRepresentation
bin100111110111001100…
…001110111001100001
311002110221022000211110
4213313030032321201
51200124240303034
631355104533533
73043446006030
oct476714167141
9132427260743
1042801884769
1117174603596
1283663212a9
1340616bc647
142100762717
1511a7994de9
hex9f730ee61

42801884769 has 64 divisors (see below), whose sum is σ = 69435555840. Its totient is φ = 22932564480.

The previous prime is 42801884761. The next prime is 42801884777. The reversal of 42801884769 is 96748810824.

It is an interprime number because it is at equal distance from previous prime (42801884761) and next prime (42801884777).

It is not a de Polignac number, because 42801884769 - 23 = 42801884761 is a prime.

It is a super-2 number, since 2×428018847692 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42801884761) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5564244 + ... + 5571930.

It is an arithmetic number, because the mean of its divisors is an integer number (1084930560).

Almost surely, 242801884769 is an apocalyptic number.

It is an amenable number.

42801884769 is a deficient number, since it is larger than the sum of its proper divisors (26633671071).

42801884769 is a wasteful number, since it uses less digits than its factorization.

42801884769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7990.

The product of its (nonzero) digits is 6193152, while the sum is 57.

The spelling of 42801884769 in words is "forty-two billion, eight hundred one million, eight hundred eighty-four thousand, seven hundred sixty-nine".

Divisors: 1 3 7 21 29 41 87 123 203 223 287 609 669 861 1189 1561 3567 4683 6467 7687 8323 9143 19401 23061 24969 27429 45269 53809 64001 135807 161427 192003 222923 265147 315167 668769 795441 945501 1560461 1714201 1856029 2206169 4681383 5142603 5568087 6618507 9139843 11999407 27419529 35998221 49711829 63978901 70282241 149135487 191936703 210846723 347982803 491975687 1043948409 1475927061 2038184989 6114554967 14267294923 42801884769