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2530660660352 = 271121289126761
BaseRepresentation
bin100100110100110111001…
…000010011010010000000
322221221002002111111012122
4210310313020103102000
5312430243112112402
65214323000343412
7350556062456636
oct44646710232200
98857062444178
102530660660352
11896279a72200
1234a561174b68
131548428c1506
148a6adb75356
1545c6573aca2
hex24d37213480

2530660660352 has 96 divisors (see below), whose sum is σ = 5545881866700. Its totient is φ = 1149398835200.

The previous prime is 2530660660309. The next prime is 2530660660357.

2530660660352 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 1846837512256 + 683823148096 = 1358984^2 + 826936^2 .

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (2530660660357) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19900652 + ... + 20027412.

Almost surely, 22530660660352 is an apocalyptic number.

2530660660352 is a gapful number since it is divisible by the number (22) 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 2530660660352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2772940933350).

2530660660352 is an abundant number, since it is smaller than the sum of its proper divisors (3015221206348).

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

2530660660352 is a wasteful number, since it uses less digits than its factorization.

2530660660352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128086 (or 128063 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 44.

The spelling of 2530660660352 in words is "two trillion, five hundred thirty billion, six hundred sixty million, six hundred sixty thousand, three hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 352 484 704 968 1289 1408 1936 2578 3872 5156 7744 10312 14179 15488 20624 28358 41248 56716 82496 113432 126761 155969 164992 226864 253522 311938 453728 507044 623876 907456 1014088 1247752 1394371 1814912 2028176 2495504 2788742 4056352 4991008 5577484 8112704 9982016 11154968 15338081 16225408 19964032 22309936 30676162 44619872 61352324 89239744 122704648 163394929 178479488 245409296 326789858 490818592 653579716 981637184 1307159432 1797344219 1963274368 2614318864 3594688438 5228637728 7189376876 10457275456 14378753752 19770786409 20914550912 28757507504 39541572818 57515015008 79083145636 115030030016 158166291272 230060060032 316332582544 632665165088 1265330330176 2530660660352