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42828066040 = 2351070701651
BaseRepresentation
bin100111111000110000…
…000110110011111000
311002112202120011210011
4213320300012303320
51200202441103130
631401442031304
73044214361204
oct477060066370
9132482504704
1042828066040
1117188365a01
128373048534
134066c58416
142104019b04
1511a9e1752a
hex9f8c06cf8

42828066040 has 16 divisors (see below), whose sum is σ = 96363148680. Its totient is φ = 17131226400.

The previous prime is 42828066013. The next prime is 42828066049. The reversal of 42828066040 is 4066082824.

42828066040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40), and also a Moran number because the ratio is a prime number: 1070701651 = 42828066040 / (4 + 2 + 8 + 2 + 8 + 0 + 6 + 6 + 0 + 4 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 42828065984 and 42828066002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42828066049) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 535350786 + ... + 535350865.

Almost surely, 242828066040 is an apocalyptic number.

42828066040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42828066040 is an abundant number, since it is smaller than the sum of its proper divisors (53535082640).

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

42828066040 is a wasteful number, since it uses less digits than its factorization.

42828066040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1070701662 (or 1070701658 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

The spelling of 42828066040 in words is "forty-two billion, eight hundred twenty-eight million, sixty-six thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 1070701651 2141403302 4282806604 5353508255 8565613208 10707016510 21414033020 42828066040