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5188172245452 = 22327234432020609
BaseRepresentation
bin100101101111111011100…
…1010011110100111001100
3200100222120122101121220100
41023133313022132213030
51140000334043323302
615011225144451100
71043555513312550
oct113376712364714
920328518347810
105188172245452
111720322a826a9
126b9604479a90
132b831cb38cc1
1413d174a85860
158ee525ead1c
hex4b7f729e9cc

5188172245452 has 144 divisors (see below), whose sum is σ = 15675019476480. Its totient is φ = 1414684237824.

The previous prime is 5188172245387. The next prime is 5188172245493. The reversal of 5188172245452 is 2545422718815.

5188172245452 is a `hidden beast` number, since 5 + 1 + 8 + 8 + 1 + 72 + 24 + 545 + 2 = 666.

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, 1557324 + ... + 3577932.

It is an arithmetic number, because the mean of its divisors is an integer number (108854301920).

Almost surely, 25188172245452 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 5188172245452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7837509738240).

5188172245452 is an abundant number, since it is smaller than the sum of its proper divisors (10486847231028).

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

5188172245452 is a wasteful number, since it uses less digits than its factorization.

5188172245452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2021092 (or 2021087 counting only the distinct ones).

The product of its digits is 7168000, while the sum is 54.

The spelling of 5188172245452 in words is "five trillion, one hundred eighty-eight billion, one hundred seventy-two million, two hundred forty-five thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 63 69 84 92 126 138 161 207 252 276 322 414 443 483 644 828 886 966 1329 1449 1772 1932 2658 2898 3101 3987 5316 5796 6202 7974 9303 10189 12404 15948 18606 20378 27909 30567 37212 40756 55818 61134 71323 91701 111636 122268 142646 183402 213969 285292 366804 427938 641907 855876 1283814 2020609 2567628 4041218 6061827 8082436 12123654 14144263 18185481 24247308 28288526 36370962 42432789 46474007 56577052 72741924 84865578 92948014 127298367 139422021 169731156 185896028 254596734 278844042 325318049 418266063 509193468 557688084 650636098 836532126 895129787 975954147 1301272196 1673064252 1790259574 1951908294 2685389361 2927862441 3580519148 3903816588 5370778722 5855724882 6265908509 8056168083 10741557444 11711449764 12531817018 16112336166 18797725527 20587985101 25063634036 32224672332 37595451054 41175970202 56393176581 61763955303 75190902108 82351940404 112786353162 123527910606 144115895707 185291865909 225572706324 247055821212 288231791414 370583731818 432347687121 576463582828 741167463636 864695374242 1297043061363 1729390748484 2594086122726 5188172245452