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5330084800335 = 35193710112773919
BaseRepresentation
bin100110110010000000111…
…0011111010011101001111
3200212112212202220100201120
41031210001303322131033
51144312003202102320
615200335051212023
71060041320161611
oct115440163723517
920775782810646
105330084800335
111775526a07609
1272100a747013
132c8817a09279
14145d982c8db1
15939ab1aa440
hex4d901cfa74f

5330084800335 has 128 divisors (see below), whose sum is σ = 9320558284800. Its totient is φ = 2591672371200.

The previous prime is 5330084800291. The next prime is 5330084800349.

It is a happy number.

5330084800335 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5330084800335 - 211 = 5330084798287 is a prime.

It is a super-2 number, since 2×53300848003352 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 1360060506 + ... + 1360064424.

It is an arithmetic number, because the mean of its divisors is an integer number (72816861600).

Almost surely, 25330084800335 is an apocalyptic number.

5330084800335 is a deficient number, since it is larger than the sum of its proper divisors (3990473484465).

5330084800335 is a wasteful number, since it uses less digits than its factorization.

5330084800335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5361.

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 5330084800335 in words is "five trillion, three hundred thirty billion, eighty-four million, eight hundred thousand, three hundred thirty-five".

Divisors: 1 3 5 15 19 37 57 95 101 111 185 285 303 505 555 703 1277 1515 1919 2109 3515 3737 3831 3919 5757 6385 9595 10545 11211 11757 18685 19155 19595 24263 28785 47249 56055 58785 71003 72789 74461 121315 128977 141747 145003 213009 223383 236245 355015 363945 372305 386931 395819 435009 644885 708735 725015 897731 1065045 1116915 1187457 1934655 1979095 2175045 2450563 2693193 2755057 4488655 4772149 5004563 5937285 7351689 7520561 8265171 12252815 13465965 13775285 14316447 14645303 15013689 22561683 23860745 25022815 36758445 37602805 41325855 43935909 71582235 73226515 75068445 90670831 95086697 112808415 185168831 219679545 272012493 278260757 285260091 453354155 475433485 505460863 555506493 834782271 925844155 1360062465 1391303785 1426300455 1516382589 2527304315 2777532465 3518207789 4173911355 7581912945 9603756397 10554623367 17591038945 18702051931 28811269191 48018781985 52773116835 56106155793 93510259655 144056345955 280530778965 355338986689 1066016960067 1776694933445 5330084800335