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350155135232 = 28721729411381
BaseRepresentation
bin1010001100001101101…
…11110101100100000000
31020110210220122212220022
411012012313311210000
521214104203311412
6424505315433012
734204112353400
oct5060667654400
91213726585808
10350155135232
11125555499791
1257a422b5768
1327033a77a16
1412d3a2d6800
159195999a72
hex5186df5900

350155135232 has 432 divisors, whose sum is σ = 912949697520. Its totient is φ = 132946329600.

The previous prime is 350155135201. The next prime is 350155135241. The reversal of 350155135232 is 232531551053.

It can be written as a sum of positive squares in 8 ways, for example, as 7302727936 + 342852407296 = 85456^2 + 585536^2 .

It is a junction number, because it is equal to n+sod(n) for n = 350155135192 and 350155135201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 253551182 + ... + 253552562.

It is an arithmetic number, because the mean of its divisors is an integer number (2113309485).

Almost surely, 2350155135232 is an apocalyptic number.

350155135232 is a gapful number since it is divisible by the number (32) 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 350155135232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456474848760).

350155135232 is an abundant number, since it is smaller than the sum of its proper divisors (562794562288).

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

350155135232 is a wasteful number, since it uses less digits than its factorization.

350155135232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1498 (or 1477 counting only the distinct ones).

The product of its (nonzero) digits is 67500, while the sum is 35.

Adding to 350155135232 its reverse (232531551053), we get a palindrome (582686686285).

The spelling of 350155135232 in words is "three hundred fifty billion, one hundred fifty-five million, one hundred thirty-five thousand, two hundred thirty-two".