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2653013342200 = 2352132148152999
BaseRepresentation
bin100110100110110011111…
…010101111011111111000
3100101121220001122201110211
4212212303322233133320
5321431332403422300
65350435535120504
7362450100221044
oct46466372573770
910347801581424
102653013342200
1193315595aa91
1236a208973134
13163241337a00
1492599741024
154902701c4ba
hex269b3eaf7f8

2653013342200 has 144 divisors (see below), whose sum is σ = 6683871870000. Its totient is φ = 978894259200.

The previous prime is 2653013342159. The next prime is 2653013342201. The reversal of 2653013342200 is 22433103562.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2653013342201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 50031301 + ... + 50084299.

It is an arithmetic number, because the mean of its divisors is an integer number (46415776875).

Almost surely, 22653013342200 is an apocalyptic number.

2653013342200 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 2653013342200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3341935935000).

2653013342200 is an abundant number, since it is smaller than the sum of its proper divisors (4030858527800).

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

2653013342200 is a wasteful number, since it uses less digits than its factorization.

2653013342200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54522 (or 54500 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 31.

Adding to 2653013342200 its reverse (22433103562), we get a palindrome (2675446445762).

The spelling of 2653013342200 in words is "two trillion, six hundred fifty-three billion, thirteen million, three hundred forty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 169 200 260 325 338 520 650 676 845 1300 1352 1481 1690 2600 2962 3380 4225 5924 6760 7405 8450 11848 14810 16900 19253 29620 33800 37025 38506 52999 59240 74050 77012 96265 105998 148100 154024 192530 211996 250289 264995 296200 385060 423992 481325 500578 529990 688987 770120 962650 1001156 1059980 1251445 1324975 1377974 1925300 2002312 2119960 2502890 2649950 2755948 3444935 3850600 5005780 5299900 5511896 6257225 6889870 8956831 10011560 10599800 12514450 13779740 17224675 17913662 25028900 27559480 34449350 35827324 44784155 50057800 68898700 71654648 78491519 89568310 137797400 156983038 179136620 223920775 313966076 358273240 392457595 447841550 627932152 784915190 895683100 1020389747 1569830380 1791366200 1962287975 2040779494 3139660760 3924575950 4081558988 5101948735 7849151900 8163117976 10203897470 13265066711 15698303800 20407794940 25509743675 26530133422 40815589880 51019487350 53060266844 66325333555 102038974700 106120533688 132650667110 204077949400 265301334220 331626667775 530602668440 663253335550 1326506671100 2653013342200