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12354558340 = 225312642797
BaseRepresentation
bin10111000000110001…
…11001100110000100
31011220000021120221211
423200120321212010
5200300231331330
65401533021204
7615105004345
oct134030714604
934800246854
1012354558340
11526a90a5a3
122489624804
13121b755767
14852b540cc
154c4959d2a
hex2e0639984

12354558340 has 36 divisors (see below), whose sum is σ = 26808533388. Its totient is φ = 4782402240.

The previous prime is 12354558329. The next prime is 12354558343. The reversal of 12354558340 is 4385545321.

It can be written as a sum of positive squares in 2 ways, for example, as 5646620736 + 6707937604 = 75144^2 + 81902^2 .

It is a super-2 number, since 2×123545583402 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12354558293 and 12354558302.

It is not an unprimeable number, because it can be changed into a prime (12354558343) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 302179 + ... + 340618.

It is an arithmetic number, because the mean of its divisors is an integer number (744681483).

Almost surely, 212354558340 is an apocalyptic number.

12354558340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12354558340 is an abundant number, since it is smaller than the sum of its proper divisors (14453975048).

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

12354558340 is a wasteful number, since it uses less digits than its factorization.

12354558340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642868 (or 642835 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 40.

The spelling of 12354558340 in words is "twelve billion, three hundred fifty-four million, five hundred fifty-eight thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 620 961 1922 3844 4805 9610 19220 642797 1285594 2571188 3213985 6427970 12855940 19926707 39853414 79706828 99633535 199267070 398534140 617727917 1235455834 2470911668 3088639585 6177279170 12354558340