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4535258112 = 210327211283
BaseRepresentation
bin1000011100101001…
…01000110000000000
3102201001212222112200
410032110220300000
533242011224422
62030010153200
7220250025600
oct41624506000
912631788480
104535258112
111a18042600
12a66a22800
1357379cba8
14310486c00
151b82552ac
hex10e528c00

4535258112 has 594 divisors, whose sum is σ = 16945991244. Its totient is φ = 1163796480.

The previous prime is 4535258107. The next prime is 4535258179. The reversal of 4535258112 is 2118525354.

4535258112 is a `hidden beast` number, since 4 + 53 + 525 + 81 + 1 + 2 = 666.

It is a super-2 number, since 2×45352581122 = 41137132284923609088, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 54641623 + ... + 54641705.

Almost surely, 24535258112 is an apocalyptic number.

4535258112 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 4535258112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8472995622).

4535258112 is an abundant number, since it is smaller than the sum of its proper divisors (12410733132).

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

4535258112 is a wasteful number, since it uses less digits than its factorization.

4535258112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 106 counting only the distinct ones).

The product of its digits is 48000, while the sum is 36.

The square root of 4535258112 is about 67344.3250170347. The cubic root of 4535258112 is about 1655.2642534328.

The spelling of 4535258112 in words is "four billion, five hundred thirty-five million, two hundred fifty-eight thousand, one hundred twelve".