Search a number
-
+
5017890072 = 2331319980819
BaseRepresentation
bin1001010110001011…
…01110110100011000
3110221201001020010110
410223011232310120
540234034440242
62145530444320
7235230235056
oct45305566430
913851036113
105017890072
112145517098
12b805936a0
1361c783830
143585db1d6
151e57dc39c
hex12b16ed18

5017890072 has 64 divisors (see below), whose sum is σ = 13577760000. Its totient is φ = 1536188544.

The previous prime is 5017890067. The next prime is 5017890079. The reversal of 5017890072 is 2700987105.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 5017890072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5017890079) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21679 + ... + 102497.

It is an arithmetic number, because the mean of its divisors is an integer number (212152500).

Almost surely, 25017890072 is an apocalyptic number.

5017890072 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5017890072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6788880000).

5017890072 is an abundant number, since it is smaller than the sum of its proper divisors (8559869928).

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

5017890072 is a wasteful number, since it uses less digits than its factorization.

5017890072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81040 (or 81036 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 39.

The square root of 5017890072 is about 70837.0670764960. The cubic root of 5017890072 is about 1712.0129586392.

The spelling of 5017890072 in words is "five billion, seventeen million, eight hundred ninety thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 199 312 398 597 796 1194 1592 2388 2587 4776 5174 7761 10348 15522 20696 31044 62088 80819 161638 242457 323276 484914 646552 969828 1050647 1939656 2101294 3151941 4202588 6303882 8405176 12607764 16082981 25215528 32165962 48248943 64331924 96497886 128663848 192995772 209078753 385991544 418157506 627236259 836315012 1254472518 1672630024 2508945036 5017890072