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5006061264 = 2431759103981
BaseRepresentation
bin1001010100110001…
…00110111011010000
3110220212210021001110
410222120212323100
540223022430024
62144425133320
7235024550541
oct45230467320
913825707043
105006061264
112139877a16
12b7862a240
1361a1a1739
14356bdc4c8
151e4752629
hex12a626ed0

5006061264 has 80 divisors (see below), whose sum is σ = 13925269440. Its totient is φ = 1543895040.

The previous prime is 5006061259. The next prime is 5006061283. The reversal of 5006061264 is 4621606005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3847 + ... + 100134.

It is an arithmetic number, because the mean of its divisors is an integer number (174065868).

Almost surely, 25006061264 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 5006061264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6962634720).

5006061264 is an abundant number, since it is smaller than the sum of its proper divisors (8919208176).

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

5006061264 is a wasteful number, since it uses less digits than its factorization.

5006061264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104068 (or 104062 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 5006061264 is about 70753.5247461213. The cubic root of 5006061264 is about 1710.6666420291. Note that the first 4 decimals are identical.

Adding to 5006061264 its reverse (4621606005), we get a palindrome (9627667269).

The spelling of 5006061264 in words is "five billion, six million, sixty-one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 59 68 102 118 136 177 204 236 272 354 408 472 708 816 944 1003 1416 2006 2832 3009 4012 6018 8024 12036 16048 24072 48144 103981 207962 311943 415924 623886 831848 1247772 1663696 1767677 2495544 3535354 4991088 5303031 6134879 7070708 10606062 12269758 14141416 18404637 21212124 24539516 28282832 36809274 42424248 49079032 73618548 84848496 98158064 104292943 147237096 208585886 294474192 312878829 417171772 625757658 834343544 1251515316 1668687088 2503030632 5006061264