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450253001320 = 235417910931883
BaseRepresentation
bin1101000110101010010…
…10111001001001101000
31121001011220110100011221
412203111022321021220
524334104232020240
6542502100231424
744346455235643
oct6432512711150
91531156410157
10450253001320
11163a51099051
127331899b574
13335c6931895
1417b14350a5a
15baa35b6a4a
hex68d52b9268

450253001320 has 128 divisors (see below), whose sum is σ = 1060589376000. Its totient is φ = 171887339520.

The previous prime is 450253001299. The next prime is 450253001347. The reversal of 450253001320 is 23100352054.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14106099 + ... + 14137981.

It is an arithmetic number, because the mean of its divisors is an integer number (8285854500).

Almost surely, 2450253001320 is an apocalyptic number.

450253001320 is a gapful number since it is divisible by the number (40) 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 450253001320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530294688000).

450253001320 is an abundant number, since it is smaller than the sum of its proper divisors (610336374680).

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

450253001320 is a wasteful number, since it uses less digits than its factorization.

450253001320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32123 (or 32119 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

Adding to 450253001320 its reverse (23100352054), we get a palindrome (473353353374).

The spelling of 450253001320 in words is "four hundred fifty billion, two hundred fifty-three million, one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 79 82 109 158 164 205 218 316 328 395 410 436 545 632 790 820 872 1090 1580 1640 2180 3160 3239 4360 4469 6478 8611 8938 12956 16195 17222 17876 22345 25912 31883 32390 34444 35752 43055 44690 63766 64780 68888 86110 89380 127532 129560 159415 172220 178760 255064 318830 344440 353051 637660 706102 1275320 1307203 1412204 1765255 2518757 2614406 2824408 3475247 3530510 5037514 5228812 6536015 6950494 7061020 10075028 10457624 12593785 13072030 13900988 14122040 17376235 20150056 25187570 26144060 27801976 34752470 50375140 52288120 69504940 100750280 103269037 139009880 142485127 206538074 274544513 284970254 413076148 516345185 549089026 569940508 712425635 826152296 1032690370 1098178052 1139881016 1372722565 1424851270 2065380740 2196356104 2745445130 2849702540 4130761480 5490890260 5699405080 10981780520 11256325033 22512650066 45025300132 56281625165 90050600264 112563250330 225126500660 450253001320