Search a number
-
+
5345138748 = 22319591972017
BaseRepresentation
bin1001111101001100…
…00101100000111100
3111210111211011220210
410332212011200330
541421323414443
62242220512420
7246312633615
oct47646054074
914714734823
105345138748
1122a3211944
1210520ab710
136725021c1
14389c64c0c
152143cec33
hex13e98583c

5345138748 has 96 divisors (see below), whose sum is σ = 13425350400. Its totient is φ = 1650087936.

The previous prime is 5345138713. The next prime is 5345138783. The reversal of 5345138748 is 8478315435.

It is an interprime number because it is at equal distance from previous prime (5345138713) and next prime (5345138783).

It is a junction number, because it is equal to n+sod(n) for n = 5345138697 and 5345138706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2649036 + ... + 2651052.

It is an arithmetic number, because the mean of its divisors is an integer number (139847400).

Almost surely, 25345138748 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 5345138748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6712675200).

5345138748 is an abundant number, since it is smaller than the sum of its proper divisors (8080211652).

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

5345138748 is a wasteful number, since it uses less digits than its factorization.

5345138748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2299 (or 2297 counting only the distinct ones).

The product of its digits is 1612800, while the sum is 48.

The square root of 5345138748 is about 73110.4558048984. The cubic root of 5345138748 is about 1748.4491019303.

The spelling of 5345138748 in words is "five billion, three hundred forty-five million, one hundred thirty-eight thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 12 19 38 57 59 76 114 118 177 197 228 236 354 394 591 708 788 1121 1182 2017 2242 2364 3363 3743 4034 4484 6051 6726 7486 8068 11229 11623 12102 13452 14972 22458 23246 24204 34869 38323 44916 46492 69738 76646 114969 119003 139476 153292 220837 229938 238006 357009 397349 441674 459876 476012 662511 714018 794698 883348 1192047 1325022 1428036 1589396 2261057 2384094 2650044 4522114 4768188 6783171 7549631 9044228 13566342 15099262 22648893 23443591 27132684 30198524 45297786 46887182 70330773 90595572 93774364 140661546 281323092 445428229 890856458 1336284687 1781712916 2672569374 5345138748