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42816518928 = 2432601494737
BaseRepresentation
bin100111111000000100…
…000011101100010000
311002111221211112010100
4213320010003230100
51200142012101203
631400350332400
73044014256151
oct477004035420
9132457745110
1042816518928
1117181899437
12836b1ba100
134064744601
142102691928
1511a8dd5ea3
hex9f8103b10

42816518928 has 60 divisors (see below), whose sum is σ = 120026407228. Its totient is φ = 14248396800.

The previous prime is 42816518887. The next prime is 42816518939. The reversal of 42816518928 is 82981561824.

42816518928 is a `hidden beast` number, since 4 + 28 + 16 + 518 + 92 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 34435482624 + 8381036304 = 185568^2 + 91548^2 .

It is a super-2 number, since 2×428165189282 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 160825 + ... + 333912.

Almost surely, 242816518928 is an apocalyptic number.

42816518928 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

42816518928 is an abundant number, since it is smaller than the sum of its proper divisors (77209888300).

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

42816518928 is a wasteful number, since it uses less digits than its factorization.

42816518928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495352 (or 495343 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 54.

The spelling of 42816518928 in words is "forty-two billion, eight hundred sixteen million, five hundred eighteen thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 601 1202 1803 2404 3606 4808 5409 7212 9616 10818 14424 21636 28848 43272 86544 494737 989474 1484211 1978948 2968422 3957896 4452633 5936844 7915792 8905266 11873688 17810532 23747376 35621064 71242128 297336937 594673874 892010811 1189347748 1784021622 2378695496 2676032433 3568043244 4757390992 5352064866 7136086488 10704129732 14272172976 21408259464 42816518928