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34958750071 = 7217374724133
BaseRepresentation
bin100000100011101101…
…000011000101110111
310100020100001111200011
4200203231003011313
51033043420000241
624020531201051
72345211321100
oct404355030567
9110210044604
1034958750071
111390a337393
126937746187
1333b181023b
141998c4d3a7
15d99133281
hex823b43177

34958750071 has 48 divisors (see below), whose sum is σ = 45164946816. Its totient is φ = 26854861824.

The previous prime is 34958750053. The next prime is 34958750077. The reversal of 34958750071 is 17005785943.

It is a happy number.

It is not a de Polignac number, because 34958750071 - 25 = 34958750039 is a prime.

It is a super-2 number, since 2×349587500712 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34958749997 and 34958750024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34958750077) 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 47 ways as a sum of consecutive naturals, for example, 1436521 + ... + 1460653.

It is an arithmetic number, because the mean of its divisors is an integer number (940936392).

Almost surely, 234958750071 is an apocalyptic number.

34958750071 is a deficient number, since it is larger than the sum of its proper divisors (10206196745).

34958750071 is a wasteful number, since it uses less digits than its factorization.

34958750071 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24248 (or 24241 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 49.

The spelling of 34958750071 in words is "thirty-four billion, nine hundred fifty-eight million, seven hundred fifty thousand, seventy-one".

Divisors: 1 7 17 37 47 49 119 259 329 629 799 833 1739 1813 2303 4403 5593 12173 24133 29563 30821 39151 85211 168931 206941 410261 892921 1134251 1182517 1448587 2871827 6250447 7939757 15179657 19282267 20102789 41967287 43753129 55578299 106257599 134975869 293771009 713443879 743803193 944831083 2056397063 4994107153 34958750071