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253235244320 = 2558320879137
BaseRepresentation
bin1110101111010111111…
…1110010110100100000
3220012122101210021222222
43223311333302310200
513122111210304240
6312200142050212
724203256026642
oct3536577626440
9805571707888
10253235244320
119843a76a193
12410b3b79968
131ab5941a746
14c384372892
1568c1d79eb5
hex3af5ff2d20

253235244320 has 96 divisors (see below), whose sum is σ = 605832732288. Its totient is φ = 100014788608.

The previous prime is 253235244271. The next prime is 253235244329. The reversal of 253235244320 is 23442532352.

It is not an unprimeable number, because it can be changed into a prime (253235244329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27710792 + ... + 27719928.

It is an arithmetic number, because the mean of its divisors is an integer number (6310757628).

Almost surely, 2253235244320 is an apocalyptic number.

253235244320 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 253235244320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302916366144).

253235244320 is an abundant number, since it is smaller than the sum of its proper divisors (352597487968).

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

253235244320 is a wasteful number, since it uses less digits than its factorization.

253235244320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11322 (or 11314 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 35.

Adding to 253235244320 its reverse (23442532352), we get a palindrome (276677776672).

The spelling of 253235244320 in words is "two hundred fifty-three billion, two hundred thirty-five million, two hundred forty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 83 160 166 332 415 664 830 1328 1660 2087 2656 3320 4174 6640 8348 9137 10435 13280 16696 18274 20870 33392 36548 41740 45685 66784 73096 83480 91370 146192 166960 173221 182740 292384 333920 346442 365480 692884 730960 758371 866105 1385768 1461920 1516742 1732210 2771536 3033484 3464420 3791855 5543072 6066968 6928840 7583710 12133936 13857680 15167420 19068919 24267872 27715360 30334840 38137838 60669680 76275676 95344595 121339360 152551352 190689190 305102704 381378380 610205408 762756760 1525513520 1582720277 3051027040 3165440554 6330881108 7913601385 12661762216 15827202770 25323524432 31654405540 50647048864 63308811080 126617622160 253235244320