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2653238368 = 2511131163353
BaseRepresentation
bin1001111000100101…
…0011010001100000
320211220112110210201
42132021103101200
520413212111433
61115140034544
7122515103554
oct23611232140
96756473721
102653238368
111141758290
12620692a54
133338c3341
141b253d864
15107de9a7d
hex9e253460

2653238368 has 96 divisors (see below), whose sum is σ = 5793524352. Its totient is φ = 1186099200.

The previous prime is 2653238359. The next prime is 2653238369. The reversal of 2653238368 is 8638323562.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2653238369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7516080 + ... + 7516432.

It is an arithmetic number, because the mean of its divisors is an integer number (60349212).

Almost surely, 22653238368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2653238368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2896762176).

2653238368 is an abundant number, since it is smaller than the sum of its proper divisors (3140285984).

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

2653238368 is a wasteful number, since it uses less digits than its factorization.

2653238368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 660 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 46.

The square root of 2653238368 is about 51509.5949120161. The cubic root of 2653238368 is about 1384.3909650916.

The spelling of 2653238368 in words is "two billion, six hundred fifty-three million, two hundred thirty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 131 163 176 262 326 352 353 524 652 706 1048 1304 1412 1441 1793 2096 2608 2824 2882 3586 3883 4192 5216 5648 5764 7172 7766 11296 11528 14344 15532 21353 23056 28688 31064 42706 46112 46243 57376 57539 62128 85412 92486 115078 124256 170824 184972 230156 234883 341648 369944 460312 469766 508673 632929 683296 739888 920624 939532 1017346 1265858 1479776 1841248 1879064 2034692 2531716 3758128 4069384 5063432 7516256 7537609 8138768 10126864 15075218 16277536 20253728 30150436 60300872 82913699 120601744 165827398 241203488 331654796 663309592 1326619184 2653238368