Search a number
-
+
5016727300 = 2252136016421
BaseRepresentation
bin1001010110000010…
…10010111100000100
3110221121212011002211
410223001102330010
540233240233200
62145445513204
7235214323054
oct45301227404
913847764084
105016727300
1121448a2522
12b80112804
1361c4674c0
143583b7564
151e565caba
hex12b052f04

5016727300 has 72 divisors (see below), whose sum is σ = 11745041672. Its totient is φ = 1848960000.

The previous prime is 5016727297. The next prime is 5016727351. The reversal of 5016727300 is 37276105.

It can be written as a sum of positive squares in 12 ways, for example, as 1877142276 + 3139585024 = 43326^2 + 56032^2 .

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 778090 + ... + 784510.

Almost surely, 25016727300 is an apocalyptic number.

5016727300 is a gapful number since it is divisible by the number (50) 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 5016727300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5872520836).

5016727300 is an abundant number, since it is smaller than the sum of its proper divisors (6728314372).

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

5016727300 is a wasteful number, since it uses less digits than its factorization.

5016727300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7049 (or 7042 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 31.

The square root of 5016727300 is about 70828.8592312484. The cubic root of 5016727300 is about 1711.8807095274.

The spelling of 5016727300 in words is "five billion, sixteen million, seven hundred twenty-seven thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 601 650 1202 1300 2404 3005 6010 6421 7813 12020 12842 15025 15626 25684 30050 31252 32105 39065 60100 64210 78130 83473 128420 156260 160525 166946 195325 321050 333892 390650 417365 642100 781300 834730 1669460 2086825 3859021 4173650 7718042 8347300 15436084 19295105 38590210 50167273 77180420 96475525 100334546 192951050 200669092 250836365 385902100 501672730 1003345460 1254181825 2508363650 5016727300