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42914789736 = 233713193173457
BaseRepresentation
bin100111111101111010…
…111011100101101000
311002202210202012022220
4213331322323211220
51200342141232421
631414220514040
73046316460030
oct477572734550
9132683665286
1042914789736
1117222309785
1283980ab920
13407bc01010
1421117528c0
1511b28483c6
hex9fdebb968

42914789736 has 512 divisors, whose sum is σ = 145762713600. Its totient is φ = 10212065280.

The previous prime is 42914789711. The next prime is 42914789737. The reversal of 42914789736 is 63798741924.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 42914789736.

It is not an unprimeable number, because it can be changed into a prime (42914789737) 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 127 ways as a sum of consecutive naturals, for example, 93905220 + ... + 93905676.

It is an arithmetic number, because the mean of its divisors is an integer number (284692800).

Almost surely, 242914789736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42914789736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72881356800).

42914789736 is an abundant number, since it is smaller than the sum of its proper divisors (102847923864).

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

42914789736 is a wasteful number, since it uses less digits than its factorization.

42914789736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 605 counting only the distinct ones).

The product of its digits is 18289152, while the sum is 60.

The spelling of 42914789736 in words is "forty-two billion, nine hundred fourteen million, seven hundred eighty-nine thousand, seven hundred thirty-six".