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350008328500 = 22534117073577
BaseRepresentation
bin1010001011111100001…
…11110100000100110100
31020110102200102022220221
411011332013310010310
521213304113003000
6424442553104124
734200350463415
oct5057607640464
91213380368827
10350008328500
1112548a638706
1257a010b8044
132700c52642c
1412d249dd80c
159187b4b61a
hex517e1f4134

350008328500 has 48 divisors (see below), whose sum is σ = 783062581392. Its totient is φ = 136588608000.

The previous prime is 350008328489. The next prime is 350008328513. The reversal of 350008328500 is 5823800053.

It can be written as a sum of positive squares in 8 ways, for example, as 299561371684 + 50446956816 = 547322^2 + 224604^2 .

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 8516289 + ... + 8557288.

It is an arithmetic number, because the mean of its divisors is an integer number (16313803779).

Almost surely, 2350008328500 is an apocalyptic number.

It is an amenable number.

350008328500 is an abundant number, since it is smaller than the sum of its proper divisors (433054252892).

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

350008328500 is a wasteful number, since it uses less digits than its factorization.

350008328500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17073637 (or 17073625 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The spelling of 350008328500 in words is "three hundred fifty billion, eight million, three hundred twenty-eight thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 125 164 205 250 410 500 820 1025 2050 4100 5125 10250 20500 17073577 34147154 68294308 85367885 170735770 341471540 426839425 700016657 853678850 1400033314 1707357700 2134197125 2800066628 3500083285 4268394250 7000166570 8536788500 14000333140 17500416425 35000832850 70001665700 87502082125 175004164250 350008328500