Search a number
-
+
4967130064 = 241338362351
BaseRepresentation
bin1001010000001000…
…00110001111010000
3110211011112100111011
410220010012033100
540133041130224
62140514500304
7234042623521
oct45004061720
913734470434
104967130064
1121198a7376
12b67594694
136120c0520
14351986848
151e1112394
hex1281063d0

4967130064 has 40 divisors (see below), whose sum is σ = 10391334912. Its totient is φ = 2286499200.

The previous prime is 4967130059. The next prime is 4967130097. The reversal of 4967130064 is 4600317694.

It is a junction number, because it is equal to n+sod(n) for n = 4967129999 and 4967130026.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48489 + ... + 110839.

Almost surely, 24967130064 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 4967130064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5195667456).

4967130064 is an abundant number, since it is smaller than the sum of its proper divisors (5424204848).

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

4967130064 is a wasteful number, since it uses less digits than its factorization.

4967130064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62755 (or 62749 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

The square root of 4967130064 is about 70477.8693208017. The cubic root of 4967130064 is about 1706.2205853874.

The spelling of 4967130064 in words is "four billion, nine hundred sixty-seven million, one hundred thirty thousand, sixty-four".

Divisors: 1 2 4 8 13 16 26 52 104 208 383 766 1532 3064 4979 6128 9958 19916 39832 62351 79664 124702 249404 498808 810563 997616 1621126 3242252 6484504 12969008 23880433 47760866 95521732 191043464 310445629 382086928 620891258 1241782516 2483565032 4967130064