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412516629868 = 2272197910113883
BaseRepresentation
bin1100000000010111110…
…10000011110101101100
31110102202222211001021211
412000023322003311230
523224313224123433
6513301343004204
741542355333200
oct6001372036554
91412688731254
10412516629868
11149a46979702
1267b46b99664
132cb9182b3c5
1415d74664b00
15aae56b98cd
hex600be83d6c

412516629868 has 144 divisors (see below), whose sum is σ = 904081651200. Its totient is φ = 163718755200.

The previous prime is 412516629841. The next prime is 412516629923. The reversal of 412516629868 is 868926615214.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29706855 + ... + 29720737.

It is an arithmetic number, because the mean of its divisors is an integer number (6278344800).

Almost surely, 2412516629868 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 412516629868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452040825600).

412516629868 is an abundant number, since it is smaller than the sum of its proper divisors (491565021332).

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

412516629868 is a wasteful number, since it uses less digits than its factorization.

412516629868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14100 (or 14091 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 58.

The spelling of 412516629868 in words is "four hundred twelve billion, five hundred sixteen million, six hundred twenty-nine thousand, eight hundred sixty-eight".

Divisors: 1 2 4 7 14 19 28 38 49 76 79 98 101 133 158 196 202 266 316 404 532 553 707 931 1106 1414 1501 1862 1919 2212 2828 3002 3724 3838 3871 4949 6004 7676 7742 7979 9898 10507 13433 13883 15484 15958 19796 21014 26866 27766 31916 42028 53732 55532 55853 73549 94031 97181 111706 147098 151601 188062 194362 223412 263777 294196 303202 376124 388724 390971 527554 606404 680267 781942 1055108 1061207 1096757 1360534 1402183 1563884 1846439 2122414 2193514 2721068 2804366 3692878 4244828 4387028 5608732 7385756 7428449 7677299 9815281 12925073 14856898 15354598 19630562 20838383 25850146 26641477 29713796 30709196 39261124 41676766 51700292 53282954 53741093 68706967 83353532 106565908 107482186 110772457 137413934 145868681 186490339 214964372 221544914 274827868 291737362 372980678 443089828 583474724 745961356 775407199 1021080767 1305432373 1550814398 2042161534 2104676683 2610864746 3101628796 4084323068 4209353366 5221729492 5427850393 8418706732 10855700786 14732736781 21711401572 29465473562 58930947124 103129157467 206258314934 412516629868