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34553220150 = 23522953149873
BaseRepresentation
bin100000001011100010…
…000100110000110110
310022012001222110012110
4200023202010300312
51031231111021100
623512403231450
72332155345111
oct401342046066
9108161873173
1034553220150
1113721434799
126843978586
1333487b38c7
14195b049578
15d7372b250
hex80b884c36

34553220150 has 96 divisors (see below), whose sum is σ = 90320067360. Its totient is φ = 8728545280.

The previous prime is 34553220133. The next prime is 34553220187. The reversal of 34553220150 is 5102235543.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 155614 + ... + 305486.

It is an arithmetic number, because the mean of its divisors is an integer number (940834035).

Almost surely, 234553220150 is an apocalyptic number.

34553220150 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34553220150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45160033680).

34553220150 is an abundant number, since it is smaller than the sum of its proper divisors (55766847210).

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

34553220150 is a wasteful number, since it uses less digits than its factorization.

34553220150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149970 (or 149965 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

Adding to 34553220150 its reverse (5102235543), we get a palindrome (39655455693).

The spelling of 34553220150 in words is "thirty-four billion, five hundred fifty-three million, two hundred twenty thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 29 30 50 53 58 75 87 106 145 150 159 174 265 290 318 435 530 725 795 870 1325 1450 1537 1590 2175 2650 3074 3975 4350 4611 7685 7950 9222 15370 23055 38425 46110 76850 115275 149873 230550 299746 449619 749365 899238 1498730 2248095 3746825 4346317 4496190 7493650 7943269 8692634 11240475 13038951 15886538 21731585 22480950 23829807 26077902 39716345 43463170 47659614 65194755 79432690 108657925 119149035 130389510 198581725 217315850 230354801 238298070 325973775 397163450 460709602 595745175 651947550 691064403 1151774005 1191490350 1382128806 2303548010 3455322015 5758870025 6910644030 11517740050 17276610075 34553220150