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449005374246 = 2311132172139291
BaseRepresentation
bin1101000100010101100…
…11100100101100100110
31120220221221211022120210
412202022303210230212
524324030333433441
6542134211240250
744303525465142
oct6421263445446
91526857738523
10449005374246
111634709123a0
127302aba9086
1333458303100
1417a36784222
15ba2dcbe616
hex688ace4b26

449005374246 has 144 divisors (see below), whose sum is σ = 1126881194688. Its totient is φ = 118207065600.

The previous prime is 449005374227. The next prime is 449005374269. The reversal of 449005374246 is 642473500944.

It is a super-2 number, since 2×4490053742462 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 449005374195 and 449005374204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3153861 + ... + 3293151.

It is an arithmetic number, because the mean of its divisors is an integer number (7825563852).

Almost surely, 2449005374246 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 449005374246, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563440597344).

449005374246 is an abundant number, since it is smaller than the sum of its proper divisors (677875820442).

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

449005374246 is a wasteful number, since it uses less digits than its factorization.

449005374246 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139367 (or 139337 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 48.

The spelling of 449005374246 in words is "four hundred forty-nine billion, five million, three hundred seventy-four thousand, two hundred forty-six".

Divisors: 1 2 3 6 11 13 17 22 26 33 34 39 51 66 78 102 143 169 187 221 286 289 338 374 429 442 507 561 578 663 858 867 1014 1122 1326 1734 1859 2431 2873 3179 3718 3757 4862 5577 5746 6358 7293 7514 8619 9537 11154 11271 14586 17238 19074 22542 31603 41327 48841 63206 82654 94809 97682 123981 139291 146523 189618 247962 278582 293046 417873 537251 835746 1074502 1532201 1611753 1810783 2367947 3064402 3223506 3621566 4596603 4735894 5432349 7103841 9193206 10864698 14207682 19918613 23540179 26047417 30783311 39837226 40255099 47080358 52094834 59755839 61566622 70620537 78142251 80510198 92349933 119511678 120765297 141241074 156284502 184699866 241530594 258941969 338616421 400183043 442806089 517883938 523316287 677232842 776825907 800366086 885612178 1015849263 1046632574 1200549129 1328418267 1553651814 1569948861 2031698526 2401098258 2656836534 3139897722 4402013473 5756479157 6803111731 8804026946 11512958314 13206040419 13606223462 17269437471 20409335193 26412080838 34538874942 40818670386 74834229041 149668458082 224502687123 449005374246