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34063288540 = 22519237472713
BaseRepresentation
bin11111101110010101…
…001000100011011100
310020220221002100101021
4133232111020203130
51024230200213130
623352022253524
72314056114061
oct375625104334
9106827070337
1034063288540
111349a924936
1267278872a4
13329b145548
141911d54c68
15d4570137a
hex7ee5488dc

34063288540 has 144 divisors (see below), whose sum is σ = 79215276672. Its totient is φ = 12287572992.

The previous prime is 34063288499. The next prime is 34063288601. The reversal of 34063288540 is 4588236043.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12554224 + ... + 12556936.

It is an arithmetic number, because the mean of its divisors is an integer number (550106088).

Almost surely, 234063288540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34063288540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39607638336).

34063288540 is an abundant number, since it is smaller than the sum of its proper divisors (45151988132).

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

34063288540 is a wasteful number, since it uses less digits than its factorization.

34063288540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2844 (or 2823 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 43.

The spelling of 34063288540 in words is "thirty-four billion, sixty-three million, two hundred eighty-eight thousand, five hundred forty".

Divisors: 1 2 4 5 10 19 20 37 38 47 74 76 94 95 148 185 188 190 235 361 370 380 470 703 722 740 893 940 1406 1444 1739 1786 1805 2713 2812 3478 3515 3572 3610 4465 5426 6956 7030 7220 8695 8930 10852 13357 13565 14060 16967 17390 17860 26714 27130 33041 33934 34780 51547 53428 54260 66082 66785 67868 84835 100381 103094 127511 132164 133570 165205 169670 200762 206188 255022 257735 267140 330410 339340 401524 501905 510044 515470 627779 637555 660820 979393 1003810 1030940 1255558 1275110 1907239 1958786 2007620 2422709 2511116 2550220 3138895 3814478 3917572 4717907 4845418 4896965 6277790 7628956 9435814 9536195 9690836 9793930 12113545 12555580 18871628 19072390 19587860 23589535 24227090 36237541 38144780 46031471 47179070 48454180 72475082 89640233 92062942 94358140 144950164 179280466 181187705 184125884 230157355 358560932 362375410 448201165 460314710 724750820 896402330 920629420 1703164427 1792804660 3406328854 6812657708 8515822135 17031644270 34063288540