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34253802465 = 3537891076481
BaseRepresentation
bin11111111001101011…
…111000101111100001
310021102012120110100120
4133321223320233201
51030122433134330
623422545510453
72321561342211
oct377153705741
9107365513316
1034253802465
1113588418863
12677b642429
1332cb75ab8c
14192d388241
15d572d4c10
hex7f9af8be1

34253802465 has 64 divisors (see below), whose sum is σ = 57460596480. Its totient is φ = 17408286720.

The previous prime is 34253802463. The next prime is 34253802497. The reversal of 34253802465 is 56420835243.

It is a happy number.

It is not a de Polignac number, because 34253802465 - 21 = 34253802463 is a prime.

It is a super-2 number, since 2×342538024652 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (34253802463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5282025 + ... + 5288505.

It is an arithmetic number, because the mean of its divisors is an integer number (897821820).

Almost surely, 234253802465 is an apocalyptic number.

It is an amenable number.

34253802465 is a deficient number, since it is larger than the sum of its proper divisors (23206794015).

34253802465 is a wasteful number, since it uses less digits than its factorization.

34253802465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6722.

The product of its (nonzero) digits is 691200, while the sum is 42.

The spelling of 34253802465 in words is "thirty-four billion, two hundred fifty-three million, eight hundred two thousand, four hundred sixty-five".

Divisors: 1 3 5 15 37 89 107 111 185 267 321 445 535 555 1335 1605 3293 3959 6481 9523 9879 11877 16465 19443 19795 28569 32405 47615 49395 59385 97215 142845 239797 352351 576809 693467 719391 1057053 1198985 1730427 1761755 2080401 2884045 3467335 3596955 5285265 8652135 10402005 21341933 25658279 61718563 64025799 76974837 106709665 128291395 185155689 308592815 320128995 384874185 925778445 2283586831 6850760493 11417934155 34253802465