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34102545533 = 73234619377
BaseRepresentation
bin11111110000101010…
…111000110001111101
310021000122221210211222
4133300222320301331
51024320222424113
623355543523125
72315043566000
oct376052706175
9107018853758
1034102545533
111350aaa8231
126738a594a5
1332a630bb34
141917253537
15d48da7e08
hex7f0ab8c7d

34102545533 has 32 divisors (see below), whose sum is σ = 41593305600. Its totient is φ = 27896225280.

The previous prime is 34102545527. The next prime is 34102545571. The reversal of 34102545533 is 33554520143.

It is a happy number.

It is not a de Polignac number, because 34102545533 - 216 = 34102479997 is a prime.

It is a super-2 number, since 2×341025455332 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34102545493 and 34102545502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34102545233) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3632141 + ... + 3641517.

It is an arithmetic number, because the mean of its divisors is an integer number (1299790800).

Almost surely, 234102545533 is an apocalyptic number.

It is an amenable number.

34102545533 is a deficient number, since it is larger than the sum of its proper divisors (7490760067).

34102545533 is an equidigital number, since it uses as much as digits as its factorization.

34102545533 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9882 (or 9868 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 35.

The spelling of 34102545533 in words is "thirty-four billion, one hundred two million, five hundred forty-five thousand, five hundred thirty-three".

Divisors: 1 7 23 49 161 343 461 1127 3227 7889 9377 10603 22589 65639 74221 158123 215671 459473 519547 1509697 3216311 3636829 4322797 10567879 30259579 73975153 99424331 211817053 695970317 1482719371 4871792219 34102545533