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10242412353368 = 23134146347910831
BaseRepresentation
bin1001010100001011111101…
…0110011001011101011000
31100021011110022211201112022
42111002333112121131120
52320302430030301433
633441144351034012
72104663345346306
oct225027726313530
940234408751468
1010242412353368
113299867833028
12119506b20b908
13593b1724c680
14275a41d35276
1512b666a65698
hex950bf599758

10242412353368 has 128 divisors (see below), whose sum is σ = 21278276812800. Its totient is φ = 4591975449600.

The previous prime is 10242412353367. The next prime is 10242412353421. The reversal of 10242412353368 is 86335321424201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10242412353367) 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 31 ways as a sum of consecutive naturals, for example, 945651713 + ... + 945662543.

It is an arithmetic number, because the mean of its divisors is an integer number (166236537600).

Almost surely, 210242412353368 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 10242412353368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10639138406400).

10242412353368 is an abundant number, since it is smaller than the sum of its proper divisors (11035864459432).

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

10242412353368 is a wasteful number, since it uses less digits than its factorization.

10242412353368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11833 (or 11829 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 44.

Adding to 10242412353368 its reverse (86335321424201), we get a palindrome (96577733777569).

The spelling of 10242412353368 in words is "ten trillion, two hundred forty-two billion, four hundred twelve million, three hundred fifty-three thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 13 26 41 52 82 104 164 328 463 479 533 926 958 1066 1852 1916 2132 3704 3832 4264 6019 6227 10831 12038 12454 18983 19639 21662 24076 24908 37966 39278 43324 48152 49816 75932 78556 86648 140803 151864 157112 221777 246779 255307 281606 443554 444071 493558 510614 563212 887108 888142 987116 1021228 1126424 1774216 1776284 1974232 2042456 2883101 3552568 5014753 5188049 5766202 5772923 9092857 10029506 10376098 11532404 11545846 18185714 20059012 20752196 23064808 23091692 36371428 40118024 41504392 46183384 65191789 67444637 72742856 118207141 130383578 134889274 205604873 212710009 236414282 260767156 269778548 411209746 425420018 472828564 521534312 539557096 822419492 850840036 945657128 1644838984 1701680072 2402066687 2672863349 2765230117 4804133374 5345726698 5530460234 9608266748 10691453396 11060920468 19216533496 21382906792 22121840936 31226866931 62453733862 98484734167 124907467724 196969468334 249814935448 393938936668 787877873336 1280301544171 2560603088342 5121206176684 10242412353368