Search a number
-
+
5288006408925 = 35217139175317021
BaseRepresentation
bin100110011110011010110…
…1111100101101011011101
3200201112021020222121012110
41030330311233211223131
51143114314120041200
615125135425224233
71054021504562622
oct114746557455335
920645236877173
105288006408925
1117596a383a319
12714a26792079
132c4870193506
14143d25a98349
1592846ec8b50
hex4cf35be5add

5288006408925 has 96 divisors (see below), whose sum is σ = 9329586618240. Its totient is φ = 2633617612800.

The previous prime is 5288006408917. The next prime is 5288006408929. The reversal of 5288006408925 is 5298046008825.

It is a happy number.

It is not a de Polignac number, because 5288006408925 - 23 = 5288006408917 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5288006408929) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 310666915 + ... + 310683935.

It is an arithmetic number, because the mean of its divisors is an integer number (97183193940).

Almost surely, 25288006408925 is an apocalyptic number.

It is an amenable number.

5288006408925 is a deficient number, since it is larger than the sum of its proper divisors (4041580209315).

5288006408925 is a wasteful number, since it uses less digits than its factorization.

5288006408925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18943 (or 18938 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 57.

The spelling of 5288006408925 in words is "five trillion, two hundred eighty-eight billion, six million, four hundred eight thousand, nine hundred twenty-five".

Divisors: 1 3 5 15 17 25 51 75 85 139 255 417 425 695 1275 1753 2085 2363 3475 5259 7089 8765 10425 11815 17021 26295 29801 35445 43825 51063 59075 85105 89403 131475 149005 177225 243667 255315 289357 425525 447015 731001 745025 868071 1218335 1276575 1446785 2235075 2365919 3655005 4142339 4340355 6091675 7097757 7233925 11829595 12427017 18275025 20711695 21701775 29837813 35488785 40220623 59147975 62135085 89513439 103558475 120661869 149189065 177443925 201103115 310675425 447567195 507242821 603309345 745945325 1005515575 1521728463 2237835975 2536214105 3016546725 4147456007 7608642315 12442368021 12681070525 20737280035 38043211575 62211840105 70506752119 103686400175 211520256357 311059200525 352533760595 1057601281785 1762668802975 5288006408925