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2125041504500 = 225340946122541
BaseRepresentation
bin11110111011000110010…
…110000001000011110100
321112011002210111102111102
4132323012112001003310
5234304041111121000
64304121450225232
7306346336520225
oct36730626010364
97464083442442
102125041504500
1174a252590952
122a3a20125218
1312551007c8a5
1474bd15bd24c
153a4258873d5
hex1eec65810f4

2125041504500 has 96 divisors (see below), whose sum is σ = 4662736958880. Its totient is φ = 846061440000.

The previous prime is 2125041504473. The next prime is 2125041504541. The reversal of 2125041504500 is 54051405212.

It can be written as a sum of positive squares in 16 ways, for example, as 858520846096 + 1266520658404 = 926564^2 + 1125398^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94263230 + ... + 94285770.

It is an arithmetic number, because the mean of its divisors is an integer number (48570176655).

Almost surely, 22125041504500 is an apocalyptic number.

2125041504500 is a gapful number since it is divisible by the number (20) 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 2125041504500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2331368479440).

2125041504500 is an abundant number, since it is smaller than the sum of its proper divisors (2537695454380).

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

2125041504500 is a wasteful number, since it uses less digits than its factorization.

2125041504500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23430 (or 23418 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 29.

Adding to 2125041504500 its reverse (54051405212), we get a palindrome (2179092909712).

The spelling of 2125041504500 in words is "two trillion, one hundred twenty-five billion, forty-one million, five hundred four thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 409 461 500 818 922 1636 1844 2045 2305 4090 4610 8180 9220 10225 11525 20450 22541 23050 40900 45082 46100 51125 57625 90164 102250 112705 115250 188549 204500 225410 230500 377098 450820 563525 754196 942745 1127050 1885490 2254100 2817625 3770980 4713725 5635250 9219269 9427450 10391401 11270500 18438538 18854900 20782802 23568625 36877076 41565604 46096345 47137250 51957005 92192690 94274500 103914010 184385380 207828020 230481725 259785025 460963450 519570050 921926900 1039140100 1152408625 1298925125 2304817250 2597850250 4250083009 4609634500 5195700500 8500166018 17000332036 21250415045 42500830090 85001660180 106252075225 212504150450 425008300900 531260376125 1062520752250 2125041504500