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34801830075 = 352171011312063
BaseRepresentation
bin100000011010010110…
…011100100010111011
310022211101210010220110
4200122112130202323
51032233232030300
623553203555403
72341264450305
oct403226344273
9108741703813
1034801830075
11138397a9041
1268b308bb63
13338815a67c
141982082975
15d8a488550
hex81a59c8bb

34801830075 has 96 divisors (see below), whose sum is σ = 62026601472. Its totient is φ = 17155840000.

The previous prime is 34801830067. The next prime is 34801830079. The reversal of 34801830075 is 57003810843.

It is not a de Polignac number, because 34801830075 - 23 = 34801830067 is a prime.

It is a super-2 number, since 2×348018300752 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (34801830079) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 16868494 + ... + 16870556.

It is an arithmetic number, because the mean of its divisors is an integer number (646110432).

Almost surely, 234801830075 is an apocalyptic number.

34801830075 is a deficient number, since it is larger than the sum of its proper divisors (27224771397).

34801830075 is a wasteful number, since it uses less digits than its factorization.

34801830075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2325 (or 2320 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 34801830075 in words is "thirty-four billion, eight hundred one million, eight hundred thirty thousand, seventy-five".

Divisors: 1 3 5 15 17 25 51 75 85 101 131 255 303 393 425 505 655 1275 1515 1717 1965 2063 2227 2525 3275 5151 6189 6681 7575 8585 9825 10315 11135 13231 25755 30945 33405 35071 39693 42925 51575 55675 66155 105213 128775 154725 167025 175355 198465 208363 224927 270253 330775 526065 625089 674781 810759 876775 992325 1041815 1124635 1351265 2630325 3125445 3373905 3542171 4053795 4594301 5209075 5623175 6756325 10626513 13782903 15627225 16869525 17710855 20268975 22971505 27295553 53132565 68914515 81886659 88554275 114857525 136477765 265662825 344572575 409433295 464024401 682388825 1392073203 2047166475 2320122005 6960366015 11600610025 34801830075