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4540902912 = 29327313217
BaseRepresentation
bin1000011101010100…
…01010111000000000
3102201110111202202100
410032222022320000
533244432343122
62030331150400
7220346016000
oct41652127000
912643452670
104540902912
111a20248627
12a688a5400
135749c8300
14311116000
151b89bcaac
hex10ea8ae00

4540902912 has 720 divisors, whose sum is σ = 17522762400. Its totient is φ = 1127153664.

The previous prime is 4540902893. The next prime is 4540902973. The reversal of 4540902912 is 2192090454.

4540902912 is a `hidden beast` number, since 4 + 540 + 90 + 29 + 1 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 267111928 + ... + 267111944.

It is an arithmetic number, because the mean of its divisors is an integer number (24337170).

Almost surely, 24540902912 is an apocalyptic number.

4540902912 is a gapful number since it is divisible by the number (42) 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 4540902912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8761381200).

4540902912 is an abundant number, since it is smaller than the sum of its proper divisors (12981859488).

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

4540902912 is a wasteful number, since it uses less digits than its factorization.

4540902912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 4540902912 is about 67386.2219745253. The cubic root of 4540902912 is about 1655.9507091679.

The spelling of 4540902912 in words is "four billion, five hundred forty million, nine hundred two thousand, nine hundred twelve".