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4276074816 = 2632132931949
BaseRepresentation
bin1111111011011111…
…1011100101000000
3102001000012002220100
43332313323211000
532224133343231
61544151042400
7210652015266
oct37667734500
912030162810
104276074816
1118a4807332
129b4070400
13531b935b0
142c7c9a436
151a060a1e6
hexfedfb940

4276074816 has 168 divisors, whose sum is σ = 13251256200. Its totient is φ = 1310552064.

The previous prime is 4276074799. The next prime is 4276074823. The reversal of 4276074816 is 6184706724.

4276074816 is a `hidden beast` number, since 4 + 27 + 607 + 4 + 8 + 16 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1513521216 + 2762553600 = 38904^2 + 52560^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2193010 + ... + 2194958.

It is an arithmetic number, because the mean of its divisors is an integer number (78876525).

Almost surely, 24276074816 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 4276074816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6625628100).

4276074816 is an abundant number, since it is smaller than the sum of its proper divisors (8975181384).

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

4276074816 is a wasteful number, since it uses less digits than its factorization.

4276074816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2273 (or 2260 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 4276074816 is about 65391.7029599322. The cubic root of 4276074816 is about 1623.1117875084. Note that the first 3 decimals are identical.

The spelling of 4276074816 in words is "four billion, two hundred seventy-six million, seventy-four thousand, eight hundred sixteen".