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5110665204040 = 23511193791612991
BaseRepresentation
bin100101001011110101101…
…1000100101000101001000
3200002120112001012222011221
41022113223120211011020
51132213120243012130
614511450203531424
71035143022322024
oct112275330450510
920076461188157
105110665204040
1116a046a300280
126a6593529b74
132b0c1a339616
14139501047384
158ce17e1687a
hex4a5eb625148

5110665204040 has 128 divisors (see below), whose sum is σ = 13239438336000. Its totient is φ = 1755965433600.

The previous prime is 5110665204023. The next prime is 5110665204041. The reversal of 5110665204040 is 404025660115.

It is a super-2 number, since 2×51106652040402 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5110665203987 and 5110665204005.

It is not an unprimeable number, because it can be changed into a prime (5110665204041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2361945 + ... + 3974935.

It is an arithmetic number, because the mean of its divisors is an integer number (103433112000).

Almost surely, 25110665204040 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 5110665204040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6619719168000).

5110665204040 is an abundant number, since it is smaller than the sum of its proper divisors (8128773131960).

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

5110665204040 is a wasteful number, since it uses less digits than its factorization.

5110665204040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1613411 (or 1613407 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The spelling of 5110665204040 in words is "five trillion, one hundred ten billion, six hundred sixty-five million, two hundred four thousand, forty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 88 95 110 152 190 209 220 379 380 418 440 758 760 836 1045 1516 1672 1895 2090 3032 3790 4169 4180 7201 7580 8338 8360 14402 15160 16676 20845 28804 33352 36005 41690 57608 72010 79211 83380 144020 158422 166760 288040 316844 396055 633688 792110 1584220 1612991 3168440 3225982 6451964 8064955 12903928 16129910 17742901 30646829 32259820 35485802 61293658 64519640 70971604 88714505 122587316 141943208 153234145 177429010 245174632 306468290 337115119 354858020 611323589 612936580 674230238 709716040 1222647178 1225873160 1348460476 1685575595 2445294356 2696920952 3056617945 3371151190 4890588712 6113235890 6724559479 6742302380 11615148191 12226471780 13449118958 13484604760 23230296382 24452943560 26898237916 33622797395 46460592764 53796475832 58075740955 67245594790 92921185528 116151481910 127766630101 134491189580 232302963820 255533260202 268982379160 464605927640 511066520404 638833150505 1022133040808 1277666301010 2555332602020 5110665204040