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449059507416 = 23351317769053
BaseRepresentation
bin1101000100011100000…
…10000100110011011000
31120221002201200120100000
412202032002010303120
524324133213214131
6542143423413000
744305053555612
oct6421602046330
91527081616300
10449059507416
11163499426453
1273045154160
13334665a7880
1417a3da35db2
15ba33913ce6
hex688e084cd8

449059507416 has 96 divisors (see below), whose sum is σ = 1358266487760. Its totient is φ = 138172148352.

The previous prime is 449059507411. The next prime is 449059507417. The reversal of 449059507416 is 614705950944.

449059507416 is a `hidden beast` number, since 4 + 4 + 9 + 0 + 595 + 0 + 7 + 41 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (449059507411) 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, 8859255 + ... + 8909798.

Almost surely, 2449059507416 is an apocalyptic number.

It is an amenable number.

449059507416 is an abundant number, since it is smaller than the sum of its proper divisors (909206980344).

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

449059507416 is a wasteful number, since it uses less digits than its factorization.

449059507416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17769087 (or 17769071 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 449059507416 in words is "four hundred forty-nine billion, fifty-nine million, five hundred seven thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 243 312 324 351 468 486 648 702 936 972 1053 1404 1944 2106 2808 3159 4212 6318 8424 12636 25272 17769053 35538106 53307159 71076212 106614318 142152424 159921477 213228636 230997689 319842954 426457272 461995378 479764431 639685908 692993067 923990756 959528862 1279371816 1385986134 1439293293 1847981512 1919057724 2078979201 2771972268 2878586586 3838115448 4157958402 4317879879 5543944536 5757173172 6236937603 8315916804 8635759758 11514346344 12473875206 16631833608 17271519516 18710812809 24947750412 34543039032 37421625618 49895500824 56132438427 74843251236 112264876854 149686502472 224529753708 449059507416