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449353353944 = 231117236914787
BaseRepresentation
bin1101000100111111000…
…11000000101011011000
31120221212012121111222202
412202133203000223120
524330233424311234
6542232521505332
744315252326205
oct6423743005330
91527765544882
10449353353944
1116362a287720
1273107642248
13334b242c861
1417a6aa86cac
15ba4e60977e
hex689f8c0ad8

449353353944 has 96 divisors (see below), whose sum is σ = 976847376960. Its totient is φ = 192144499200.

The previous prime is 449353353929. The next prime is 449353353947.

449353353944 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 449353353944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (449353353947) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93867119 + ... + 93871905.

It is an arithmetic number, because the mean of its divisors is an integer number (10175493510).

Almost surely, 2449353353944 is an apocalyptic number.

449353353944 is a gapful number since it is divisible by the number (44) 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 449353353944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488423688480).

449353353944 is an abundant number, since it is smaller than the sum of its proper divisors (527494023016).

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

449353353944 is a wasteful number, since it uses less digits than its factorization.

449353353944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8529 (or 8508 counting only the distinct ones).

The product of its digits is 41990400, while the sum is 56.

The spelling of 449353353944 in words is "four hundred forty-nine billion, three hundred fifty-three million, three hundred fifty-three thousand, nine hundred forty-four".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 136 187 289 374 578 748 1156 1496 2312 3179 3691 4787 6358 7382 9574 12716 14764 19148 25432 29528 38296 40601 52657 62747 81202 81379 105314 125494 162404 162758 210628 250988 324808 325516 421256 501976 651032 690217 895169 1066699 1380434 1383443 1790338 2133398 2760868 2766886 3580676 4266796 5521736 5533772 7161352 8533592 11067544 11733689 15217873 17668817 23467378 30435746 35337634 46934756 60871492 70675268 93869512 121742984 141350536 194356987 300369889 388713974 600739778 777427948 1201479556 1554855896 2402959112 3304068779 5106288113 6608137558 10212576226 13216275116 20425152452 26432550232 40850304904 56169169243 112338338486 224676676972 449353353944