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60451616214 = 2321133078219
BaseRepresentation
bin111000010011001100…
…100111010111010110
312210000222101021201200
4320103030213113112
51442301103204324
643434315533330
74240022155023
oct702314472726
9183028337650
1060451616214
11237013a8000
12b87115a246
1359151a1712
142cd685254a
15188c20eec9
hexe133275d6

60451616214 has 96 divisors (see below), whose sum is σ = 144553368960. Its totient is φ = 18256780080.

The previous prime is 60451616213. The next prime is 60451616221. The reversal of 60451616214 is 41261615406.

60451616214 is a `hidden beast` number, since 604 + 5 + 16 + 16 + 21 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60451616213) by changing a digit.

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, 7350997 + ... + 7359215.

It is an arithmetic number, because the mean of its divisors is an integer number (1505764260).

Almost surely, 260451616214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60451616214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72276684480).

60451616214 is an abundant number, since it is smaller than the sum of its proper divisors (84101752746).

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

60451616214 is a wasteful number, since it uses less digits than its factorization.

60451616214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8567 (or 8542 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 60451616214 in words is "sixty billion, four hundred fifty-one million, six hundred sixteen thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 307 363 614 726 921 1089 1331 1842 2178 2662 2763 3377 3993 5526 6754 7986 8219 10131 11979 16438 20262 23958 24657 30393 37147 49314 60786 73971 74294 90409 111441 147942 180818 222882 271227 334323 408617 542454 668646 813681 817234 994499 1225851 1627362 1988998 2451702 2523233 2983497 3677553 5046466 5966994 7355106 7569699 8950491 10939489 15139398 17900982 21878978 22709097 27755563 32818467 45418194 55511126 65636934 83266689 98455401 166533378 196910802 249800067 305311193 499600134 610622386 915933579 1831867158 2747800737 3358423123 5495601474 6716846246 10075269369 20150538738 30225808107 60451616214