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2690020121200 = 2452269110922543
BaseRepresentation
bin100111001001010001101…
…100011001101001110000
3100112011102010102212200021
4213021101230121221300
5323033130122334300
65415440030533224
7365230130522026
oct47112154315160
910464363385607
102690020121200
11947916258865
12375416367214
1316688b23a489
14942aa58c716
1549e90d4dd1a
hex27251b19a70

2690020121200 has 120 divisors (see below), whose sum is σ = 6492935764800. Its totient is φ = 1070993863680.

The previous prime is 2690020121143. The next prime is 2690020121209. The reversal of 2690020121200 is 21210200962.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2690020121209) 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 23 ways as a sum of consecutive naturals, for example, 119317129 + ... + 119339671.

It is an arithmetic number, because the mean of its divisors is an integer number (54107798040).

Almost surely, 22690020121200 is an apocalyptic number.

2690020121200 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 2690020121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3246467882400).

2690020121200 is an abundant number, since it is smaller than the sum of its proper divisors (3802915643600).

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

2690020121200 is a wasteful number, since it uses less digits than its factorization.

2690020121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23939 (or 23928 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The spelling of 2690020121200 in words is "two trillion, six hundred ninety billion, twenty million, one hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 269 400 538 1076 1109 1345 2152 2218 2690 4304 4436 5380 5545 6725 8872 10760 11090 13450 17744 21520 22180 22543 26900 27725 44360 45086 53800 55450 88720 90172 107600 110900 112715 180344 221800 225430 298321 360688 443600 450860 563575 596642 901720 1127150 1193284 1491605 1803440 2254300 2386568 2983210 4508600 4773136 5966420 6064067 7458025 9017200 11932840 12128134 14916050 23865680 24256268 25000187 29832100 30320335 48512536 50000374 59664200 60640670 97025072 100000748 119328400 121281340 125000935 151601675 200001496 242562680 250001870 303203350 400002992 485125360 500003740 606406700 625004675 1000007480 1212813400 1250009350 2000014960 2425626800 2500018700 5000037400 6725050303 10000074800 13450100606 26900201212 33625251515 53800402424 67250503030 107600804848 134501006060 168126257575 269002012120 336252515150 538004024240 672505030300 1345010060600 2690020121200