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5101060610600 = 23521012411047833
BaseRepresentation
bin100101000111010111011…
…1001111101101000101000
3200001122201200111001212222
41022032232321331220220
51132033433004014400
614503221144053212
71034353015530623
oct112165671755050
920048650431788
105101060610600
111697390804049
126a4752a64208
132b0049542a36
14138c6d610dba
158ca54b11185
hex4a3aee7da28

5101060610600 has 96 divisors (see below), whose sum is σ = 12027101522040. Its totient is φ = 2011837440000.

The previous prime is 5101060610599. The next prime is 5101060610629. The reversal of 5101060610600 is 60160601015.

It can be written as a sum of positive squares in 12 ways, for example, as 2828498330596 + 2272562280004 = 1681814^2 + 1507502^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 5101060610600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4344284 + ... + 5392116.

Almost surely, 25101060610600 is an apocalyptic number.

5101060610600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5101060610600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6013550761020).

5101060610600 is an abundant number, since it is smaller than the sum of its proper divisors (6926040911440).

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

5101060610600 is a wasteful number, since it uses less digits than its factorization.

5101060610600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048191 (or 1048182 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 26.

The spelling of 5101060610600 in words is "five trillion, one hundred one billion, sixty million, six hundred ten thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 200 202 241 404 482 505 808 964 1010 1205 1928 2020 2410 2525 4040 4820 5050 6025 9640 10100 12050 20200 24100 24341 48200 48682 97364 121705 194728 243410 486820 608525 973640 1047833 1217050 2095666 2434100 4191332 4868200 5239165 8382664 10478330 20956660 26195825 41913320 52391650 104783300 105831133 209566600 211662266 252527753 423324532 505055506 529155665 846649064 1010111012 1058311330 1262638765 2020222024 2116622660 2525277530 2645778325 4233245320 5050555060 5291556650 6313193825 10101110120 10583113300 12626387650 21166226600 25252775300 25505303053 50505550600 51010606106 102021212212 127526515265 204042424424 255053030530 510106061060 637632576325 1020212122120 1275265152650 2550530305300 5101060610600