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6116544252 = 223571369151
BaseRepresentation
bin1011011001001001…
…10000111011111100
3120210021100122100000
411230210300323330
5100011313404002
62450534434300
7304400524350
oct55444607374
916707318300
106116544252
1126596a2255
121228502990
13766282a70
144204a9460
1525bea961c
hex16c930efc

6116544252 has 144 divisors (see below), whose sum is σ = 19734321152. Its totient is φ = 1613131200.

The previous prime is 6116544209. The next prime is 6116544253. The reversal of 6116544252 is 2524456116.

6116544252 is a `hidden beast` number, since 6 + 1 + 165 + 442 + 52 = 666.

It is a super-2 number, since 2×61165442522 = 74824227173348479008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6116544253) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53877 + ... + 123027.

Almost surely, 26116544252 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6116544252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9867160576).

6116544252 is an abundant number, since it is smaller than the sum of its proper divisors (13617776900).

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

6116544252 is a wasteful number, since it uses less digits than its factorization.

6116544252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69190 (or 69176 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 6116544252 is about 78208.3387625642. The cubic root of 6116544252 is about 1828.8105035357.

The spelling of 6116544252 in words is "six billion, one hundred sixteen million, five hundred forty-four thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 81 84 91 108 117 126 156 162 182 189 234 243 252 273 324 351 364 378 468 486 546 567 702 756 819 972 1053 1092 1134 1404 1638 1701 2106 2268 2457 3159 3276 3402 4212 4914 6318 6804 7371 9828 12636 14742 22113 29484 44226 69151 88452 138302 207453 276604 414906 484057 622359 829812 898963 968114 1244718 1452171 1797926 1867077 1936228 2489436 2696889 2904342 3595852 3734154 4356513 5393778 5601231 5808684 6292741 7468308 8090667 8713026 10787556 11202462 12585482 13069539 16181334 16803693 17426052 18878223 22404924 24272001 25170964 26139078 32362668 33607386 37756446 39208617 48544002 52278156 56634669 67214772 72816003 75512892 78417234 97088004 113269338 117625851 145632006 156834468 169904007 218448009 226538676 235251702 291264012 339808014 436896018 470503404 509712021 679616028 873792036 1019424042 1529136063 2038848084 3058272126 6116544252