Search a number
-
+
6557116252014 = 235293607128983
BaseRepresentation
bin101111101101011001010…
…0101011011111101101110
3212012212001201001111100000
41133122302211123331232
51324412433230031024
621540144141445130
71244510311343646
oct137326245337556
925185051044300
106557116252014
1120a89481a9409
1289a990b707a6
133874446674a3
1418951a8c1526
15b587408ecc9
hex5f6b295bf6e

6557116252014 has 96 divisors (see below), whose sum is σ = 15245661150720. Its totient is φ = 2109734841312.

The previous prime is 6557116252009. The next prime is 6557116252039. The reversal of 6557116252014 is 4102526117556.

6557116252014 is a `hidden beast` number, since 6 + 5 + 5 + 7 + 1 + 1 + 625 + 2 + 0 + 14 = 666.

It is a super-2 number, since 2×65571162520142 (a number of 26 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50772567 + ... + 50901549.

It is an arithmetic number, because the mean of its divisors is an integer number (158808970320).

Almost surely, 26557116252014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6557116252014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7622830575360).

6557116252014 is an abundant number, since it is smaller than the sum of its proper divisors (8688544898706).

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

6557116252014 is a wasteful number, since it uses less digits than its factorization.

6557116252014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132636 (or 132624 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 6557116252014 in words is "six trillion, five hundred fifty-seven billion, one hundred sixteen million, two hundred fifty-two thousand, fourteen".

Divisors: 1 2 3 6 9 18 27 29 54 58 81 87 162 174 243 261 486 522 783 1566 2349 3607 4698 7047 7214 10821 14094 21642 32463 64926 97389 104603 128983 194778 209206 257966 292167 313809 386949 584334 627618 773898 876501 941427 1160847 1753002 1882854 2321694 2824281 3482541 3740507 5648562 6965082 7481014 8472843 10447623 11221521 16945686 20895246 22443042 25418529 31342869 33664563 50837058 62685738 67329126 100993689 201987378 302981067 465241681 605962134 908943201 930483362 1395725043 1817886402 2791450086 4187175129 8374350258 12561525387 13492008749 25123050774 26984017498 37684576161 40476026247 75369152322 80952052494 113053728483 121428078741 226107456966 242856157482 364284236223 728568472446 1092852708669 2185705417338 3278558126007 6557116252014