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4278130560 = 273351171317
BaseRepresentation
bin1111111011111111…
…0001011110000000
3102001011001112212000
43332333301132000
532230200134220
61544303104000
7211005336564
oct37677613600
912034045760
104278130560
1118a59908a0
129b48a2000
13532433202
142c82736a4
151a08b4390
hexfeff1780

4278130560 has 512 divisors, whose sum is σ = 16814822400. Its totient is φ = 1019289600.

The previous prime is 4278130559. The next prime is 4278130561. The reversal of 4278130560 is 650318724.

It is an interprime number because it is at equal distance from previous prime (4278130559) and next prime (4278130561).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4278130561) 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, 13495522 + ... + 13495838.

It is an arithmetic number, because the mean of its divisors is an integer number (32841450).

Almost surely, 24278130560 is an apocalyptic number.

4278130560 is a gapful number since it is divisible by the number (40) 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 4278130560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8407411200).

4278130560 is an abundant number, since it is smaller than the sum of its proper divisors (12536691840).

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

4278130560 is a wasteful number, since it uses less digits than its factorization.

4278130560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 4278130560 is about 65407.4197625927. The cubic root of 4278130560 is about 1623.3718521622.

The spelling of 4278130560 in words is "four billion, two hundred seventy-eight million, one hundred thirty thousand, five hundred sixty".