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68149598016 = 2635312752733
BaseRepresentation
bin111111011110000010…
…000101011101000000
320111220110111021112210
4333132002011131000
52104032244114031
651150230222120
74631545011453
oct773602053500
9214813437483
1068149598016
11269a1742735
121125b1b4940
136570c8b236
143426d7d49a
151b8ce4d746
hexfde085740

68149598016 has 112 divisors (see below), whose sum is σ = 185164683264. Its totient is φ = 22112004096.

The previous prime is 68149597987. The next prime is 68149598021. The reversal of 68149598016 is 61089594186.

It is a super-2 number, since 2×681495980162 (a number of 22 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 (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1265986 + ... + 1318718.

Almost surely, 268149598016 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 68149598016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92582341632).

68149598016 is an abundant number, since it is smaller than the sum of its proper divisors (117015085248).

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

68149598016 is a wasteful number, since it uses less digits than its factorization.

68149598016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52928 (or 52918 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 57.

The spelling of 68149598016 in words is "sixty-eight billion, one hundred forty-nine million, five hundred ninety-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 127 159 192 212 254 318 381 424 508 636 762 848 1016 1272 1524 1696 2032 2544 3048 3392 4064 5088 6096 6731 8128 10176 12192 13462 20193 24384 26924 40386 52733 53848 80772 105466 107696 158199 161544 210932 215392 316398 323088 421864 430784 632796 646176 843728 1265592 1292352 1687456 2531184 2794849 3374912 5062368 5589698 6697091 8384547 10124736 11179396 13394182 16769094 20091273 22358792 26788364 33538188 40182546 44717584 53576728 67076376 80365092 89435168 107153456 134152752 160730184 178870336 214306912 268305504 321460368 354945823 428613824 536611008 642920736 709891646 1064837469 1285841472 1419783292 2129674938 2839566584 4259349876 5679133168 8518699752 11358266336 17037399504 22716532672 34074799008 68149598016