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4062478464 = 2732111947359
BaseRepresentation
bin1111001000100100…
…1000000010000000
3101111010021021210100
43302021020002000
531304443302324
61511041002400
7202446332352
oct36211100200
911433237710
104062478464
1117a5188220
12954623400
134c9858815
142a77790d2
1518b9b74c9
hexf2248080

4062478464 has 384 divisors, whose sum is σ = 13747968000. Its totient is φ = 1138268160.

The previous prime is 4062478447. The next prime is 4062478471. The reversal of 4062478464 is 4648742604.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11315917 + ... + 11316275.

It is an arithmetic number, because the mean of its divisors is an integer number (35802000).

Almost surely, 24062478464 is an apocalyptic number.

4062478464 is a gapful number since it is divisible by the number (44) 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 4062478464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6873984000).

4062478464 is an abundant number, since it is smaller than the sum of its proper divisors (9685489536).

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

4062478464 is a wasteful number, since it uses less digits than its factorization.

4062478464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The square root of 4062478464 is about 63737.5749774025. The cubic root of 4062478464 is about 1595.6232551487.

The spelling of 4062478464 in words is "four billion, sixty-two million, four hundred seventy-eight thousand, four hundred sixty-four".