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34355022675872 = 2517113558872701
BaseRepresentation
bin1111100111110111001101…
…11011000011111110100000
311111122022022121012000210112
413303323212323003332200
514000333041301111442
6201022251325150452
710144032326350433
oct763734673037640
9144568277160715
1034355022675872
11aa45979737768
123a2a2976bb428
131622884574252
1486ab1324381a
153e89bdc1d082
hex1f3ee6ec3fa0

34355022675872 has 48 divisors (see below), whose sum is σ = 72248827423752. Its totient is φ = 16023998054400.

The previous prime is 34355022675859. The next prime is 34355022675887. The reversal of 34355022675872 is 27857622055343.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 28973717660176 + 5381305015696 = 5382724^2 + 2319764^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 279374879 + ... + 279497822.

Almost surely, 234355022675872 is an apocalyptic number.

34355022675872 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34355022675872 is an abundant number, since it is smaller than the sum of its proper divisors (37893804747880).

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

34355022675872 is a wasteful number, since it uses less digits than its factorization.

34355022675872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558872841 (or 558872833 counting only the distinct ones).

The product of its (nonzero) digits is 84672000, while the sum is 59.

The spelling of 34355022675872 in words is "thirty-four trillion, three hundred fifty-five billion, twenty-two million, six hundred seventy-five thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 16 17 32 34 68 113 136 226 272 452 544 904 1808 1921 3616 3842 7684 15368 30736 61472 558872701 1117745402 2235490804 4470981608 8941963216 9500835917 17883926432 19001671834 38003343668 63152615213 76006687336 126305230426 152013374672 252610460852 304026749344 505220921704 1010441843408 1073594458621 2020883686816 2147188917242 4294377834484 8588755668968 17177511337936 34355022675872