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34974269781 = 31131210091093
BaseRepresentation
bin100000100100101000…
…010000000101010101
310100021102020222201020
4200210220100011111
51033111403113111
624022243551353
72345460250053
oct404450200525
9110242228636
1034974269781
11139180775a0
12694098b559
1333b4ab52b9
14199ad2d1d3
15d9a69b906
hex824a10155

34974269781 has 48 divisors (see below), whose sum is σ = 52665860160. Its totient is φ = 20473689600.

The previous prime is 34974269723. The next prime is 34974269789. The reversal of 34974269781 is 18796247943.

It is not a de Polignac number, because 34974269781 - 27 = 34974269653 is a prime.

It is a super-2 number, since 2×349742697812 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34974269789) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31997871 + ... + 31998963.

It is an arithmetic number, because the mean of its divisors is an integer number (1097205420).

Almost surely, 234974269781 is an apocalyptic number.

34974269781 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

34974269781 is a deficient number, since it is larger than the sum of its proper divisors (17691590379).

34974269781 is a wasteful number, since it uses less digits than its factorization.

34974269781 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2178 (or 2147 counting only the distinct ones).

The product of its digits is 18289152, while the sum is 60.

The spelling of 34974269781 in words is "thirty-four billion, nine hundred seventy-four million, two hundred sixty-nine thousand, seven hundred eighty-one".

Divisors: 1 3 11 31 33 93 341 961 1009 1023 1093 2883 3027 3279 10571 11099 12023 31279 31713 33297 33883 36069 93837 101649 344069 372713 969649 1032207 1050373 1102837 1118139 2908947 3151119 3308511 10666139 11554103 12131207 31998417 34187947 34662309 36393621 102563841 376067417 1059826357 1128202251 3179479071 11658089927 34974269781