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68321551536 = 24327547123911
BaseRepresentation
bin111111101000010010…
…000010010010110000
320112100110001102102200
4333220102002102300
52104410304122121
651215251543200
74636033414620
oct775022022260
9215313042380
1068321551536
1126a7a809987
12112a88bab00
13659a7a5794
143441b40880
151b9d0b7a26
hexfe84824b0

68321551536 has 120 divisors (see below), whose sum is σ = 218921773824. Its totient is φ = 19484599680.

The previous prime is 68321551531. The next prime is 68321551553. The reversal of 68321551536 is 63515512386.

68321551536 is a `hidden beast` number, since 6 + 83 + 21 + 5 + 515 + 36 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 68321551491 and 68321551500.

It is not an unprimeable number, because it can be changed into a prime (68321551531) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 489421 + ... + 613331.

Almost surely, 268321551536 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 68321551536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109460886912).

68321551536 is an abundant number, since it is smaller than the sum of its proper divisors (150600222288).

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

68321551536 is a wasteful number, since it uses less digits than its factorization.

68321551536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124479 (or 124470 counting only the distinct ones).

The product of its digits is 648000, while the sum is 45.

The spelling of 68321551536 in words is "sixty-eight billion, three hundred twenty-one million, five hundred fifty-one thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 547 1008 1094 1641 2188 3282 3829 4376 4923 6564 7658 8752 9846 11487 13128 15316 19692 22974 26256 30632 34461 39384 45948 61264 68922 78768 91896 123911 137844 183792 247822 275688 371733 495644 551376 743466 867377 991288 1115199 1486932 1734754 1982576 2230398 2602131 2973864 3469508 4460796 5204262 5947728 6939016 7806393 8921592 10408524 13878032 15612786 17843184 20817048 31225572 41634096 62451144 67779317 124902288 135558634 203337951 271117268 406675902 474455219 542234536 610013853 813351804 948910438 1084469072 1220027706 1423365657 1626703608 1897820876 2440055412 2846731314 3253407216 3795641752 4270096971 4880110824 5693462628 7591283504 8540193942 9760221648 11386925256 17080387884 22773850512 34160775768 68321551536