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42754045488 = 24371173211751
BaseRepresentation
bin100111110100010101…
…101111011000110000
311002100121021112200020
4213310111233120300
51200030013423423
631350235323440
73042325250640
oct476425573060
9132317245606
1042754045488
111714a5a91a0
1283522b0580
13405480c88b
1420d826c520
1511a36954e3
hex9f456f630

42754045488 has 320 divisors, whose sum is σ = 140435963904. Its totient is φ = 10886400000.

The previous prime is 42754045487. The next prime is 42754045507. The reversal of 42754045488 is 88454045724.

It is a self number, because there is not a number n which added to its sum of digits gives 42754045488.

It is not an unprimeable number, because it can be changed into a prime (42754045487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56929113 + ... + 56929863.

Almost surely, 242754045488 is an apocalyptic number.

42754045488 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42754045488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70217981952).

42754045488 is an abundant number, since it is smaller than the sum of its proper divisors (97681918416).

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

42754045488 is a wasteful number, since it uses less digits than its factorization.

42754045488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 5734400, while the sum is 51.

The spelling of 42754045488 in words is "forty-two billion, seven hundred fifty-four million, forty-five thousand, four hundred eighty-eight".