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258152850820 = 225101127798441
BaseRepresentation
bin1111000001101100011…
…0111110010110000100
3220200100010010120221001
43300123012332112010
513212144112211240
6314332131303044
724436161012064
oct3603306762604
9820303116831
10258152850820
119a533610797
1242046a4aa84
131b46118b687
14c6cd5073a4
156aad95889a
hex3c1b1be584

258152850820 has 24 divisors (see below), whose sum is σ = 547488525528. Its totient is φ = 102238752000.

The previous prime is 258152850817. The next prime is 258152850941. The reversal of 258152850820 is 28058251852.

It is a happy number.

258152850820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 37418259844 + 220734590976 = 193438^2 + 469824^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63897201 + ... + 63901240.

It is an arithmetic number, because the mean of its divisors is an integer number (22812021897).

Almost surely, 2258152850820 is an apocalyptic number.

258152850820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258152850820 is an abundant number, since it is smaller than the sum of its proper divisors (289335674708).

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

258152850820 is a wasteful number, since it uses less digits than its factorization.

258152850820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127798551 (or 127798549 counting only the distinct ones).

The product of its (nonzero) digits is 512000, while the sum is 46.

The spelling of 258152850820 in words is "two hundred fifty-eight billion, one hundred fifty-two million, eight hundred fifty thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 101 202 404 505 1010 2020 127798441 255596882 511193764 638992205 1277984410 2555968820 12907642541 25815285082 51630570164 64538212705 129076425410 258152850820