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67505114012 = 227210716072003
BaseRepresentation
bin111110110111100111…
…100100101110011100
320110020112210002200212
4332313213210232130
52101222302122022
651002244511552
74606561000400
oct766747445634
9213215702625
1067505114012
11266a0971326
12110bb3ab5b8
13649a5b8b5b
1433a5537100
151b515953e2
hexfb79e4b9c

67505114012 has 72 divisors (see below), whose sum is σ = 138861039744. Its totient is φ = 28628247648.

The previous prime is 67505113981. The next prime is 67505114021. The reversal of 67505114012 is 21041150576.

It is a super-2 number, since 2×675051140122 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 67505114012.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 33701003 + ... + 33703005.

It is an arithmetic number, because the mean of its divisors is an integer number (1928625552).

Almost surely, 267505114012 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 67505114012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69430519872).

67505114012 is an abundant number, since it is smaller than the sum of its proper divisors (71355925732).

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

67505114012 is a wasteful number, since it uses less digits than its factorization.

67505114012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3735 (or 3726 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 32.

Adding to 67505114012 its reverse (21041150576), we get a palindrome (88546264588).

The spelling of 67505114012 in words is "sixty-seven billion, five hundred five million, one hundred fourteen thousand, twelve".

Divisors: 1 2 4 7 14 28 49 98 107 196 214 428 749 1498 1607 2003 2996 3214 4006 5243 6428 8012 10486 11249 14021 20972 22498 28042 44996 56084 78743 98147 157486 171949 196294 214321 314972 343898 392588 428642 687796 857284 1203643 1500247 2407286 3000494 3218821 4814572 6000988 6437642 8425501 10501729 12875284 16851002 21003458 22531747 33702004 42006916 45063494 90126988 157722229 315444458 344413847 630888916 688827694 1377655388 2410896929 4821793858 9643587716 16876278503 33752557006 67505114012