Search a number
-
+
5005357075500 = 2235324231377179
BaseRepresentation
bin100100011010110011010…
…0001111100110000101100
3122201111200221101202110220
41020311212201330300230
51124001432402404000
614351232421131340
71024424262103065
oct110654641746054
918644627352426
105005357075500
11165a83a641691
1268a0a3b59b50
132a4006bb5722
1413439103756c
158a302bad1a0
hex48d6687cc2c

5005357075500 has 96 divisors (see below), whose sum is σ = 14581625909760. Its totient is φ = 1334210046400.

The previous prime is 5005357075493. The next prime is 5005357075529. The reversal of 5005357075500 is 55707535005.

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, 2945911 + ... + 4323089.

It is an arithmetic number, because the mean of its divisors is an integer number (151891936560).

Almost surely, 25005357075500 is an apocalyptic number.

5005357075500 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 5005357075500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7290812954880).

5005357075500 is an abundant number, since it is smaller than the sum of its proper divisors (9576268834260).

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

5005357075500 is a wasteful number, since it uses less digits than its factorization.

5005357075500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1379624 (or 1379612 counting only the distinct ones).

The product of its (nonzero) digits is 459375, while the sum is 42.

The spelling of 5005357075500 in words is "five trillion, five billion, three hundred fifty-seven million, seventy-five thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 125 150 250 300 375 500 750 1500 2423 4846 7269 9692 12115 14538 24230 29076 36345 48460 60575 72690 121150 145380 181725 242300 302875 363450 605750 726900 908625 1211500 1377179 1817250 2754358 3634500 4131537 5508716 6885895 8263074 13771790 16526148 20657685 27543580 34429475 41315370 68858950 82630740 103288425 137717900 172147375 206576850 344294750 413153700 516442125 688589500 1032884250 2065768500 3336904717 6673809434 10010714151 13347618868 16684523585 20021428302 33369047170 40042856604 50053570755 66738094340 83422617925 100107141510 166845235850 200214283020 250267853775 333690471700 417113089625 500535707550 834226179250 1001071415100 1251339268875 1668452358500 2502678537750 5005357075500