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5161536031140 = 22325101448363331
BaseRepresentation
bin100101100011100001110…
…0001011000100110100100
3200021102211022122202000100
41023013003201120212210
51134031311210444030
614551102114144100
71041623450241216
oct113070341304644
920242738582010
105161536031140
11170aaa458a645
126b440bb82030
132b596662a348
1413bb6929c5b6
158e3e3e74360
hex4b1c38589a4

5161536031140 has 144 divisors (see below), whose sum is σ = 15815452476096. Its totient is φ = 1362456288000.

The previous prime is 5161536031123. The next prime is 5161536031177. The reversal of 5161536031140 is 411306351615.

5161536031140 is a `hidden beast` number, since 5 + 1 + 6 + 1 + 5 + 3 + 603 + 1 + 1 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 5161536031095 and 5161536031104.

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, 81469275 + ... + 81532605.

It is an arithmetic number, because the mean of its divisors is an integer number (109829531084).

Almost surely, 25161536031140 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 5161536031140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7907726238048).

5161536031140 is an abundant number, since it is smaller than the sum of its proper divisors (10653916444956).

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

5161536031140 is a wasteful number, since it uses less digits than its factorization.

5161536031140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67930 (or 67925 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 5161536031140 in words is "five trillion, one hundred sixty-one billion, five hundred thirty-six million, thirty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 101 180 202 303 404 505 606 909 1010 1212 1515 1818 2020 3030 3636 4483 4545 6060 8966 9090 13449 17932 18180 22415 26898 40347 44830 53796 63331 67245 80694 89660 126662 134490 161388 189993 201735 253324 268980 316655 379986 403470 452783 569979 633310 759972 806940 905566 949965 1139958 1266620 1358349 1811132 1899930 2263915 2279916 2716698 2849895 3799860 4075047 4527830 5433396 5699790 6396431 6791745 8150094 9055660 11399580 12792862 13583490 16300188 19189293 20375235 25585724 27166980 31982155 38378586 40750470 57567879 63964310 76757172 81500940 95946465 115135758 127928620 191892930 230271516 283912873 287839395 383785860 567825746 575678790 851738619 1135651492 1151357580 1419564365 1703477238 2555215857 2839128730 3406954476 4258693095 5110431714 5678257460 8517386190 10220863428 12776079285 17034772380 25552158570 28675200173 51104317140 57350400346 86025600519 114700800692 143376000865 172051201038 258076801557 286752001730 344102402076 430128002595 516153603114 573504003460 860256005190 1032307206228 1290384007785 1720512010380 2580768015570 5161536031140