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49465308906 = 235133128147
BaseRepresentation
bin101110000100010111…
…001011011011101010
311201200022201001100000
4232010113023123222
51302301104341111
634420221123430
73400540121406
oct560427133352
9151608631300
1049465308906
1119a83971792
1297059b9576
13488405c670
142573708106
151447977c56
hexb845cb6ea

49465308906 has 144 divisors (see below), whose sum is σ = 123694657632. Its totient is φ = 14727316320.

The previous prime is 49465308881. The next prime is 49465308923. The reversal of 49465308906 is 60980356494.

49465308906 is a `hidden beast` number, since 494 + 65 + 3 + 0 + 8 + 90 + 6 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6067525 + ... + 6075671.

It is an arithmetic number, because the mean of its divisors is an integer number (858990678).

Almost surely, 249465308906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49465308906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61847328816).

49465308906 is an abundant number, since it is smaller than the sum of its proper divisors (74229348726).

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

49465308906 is a wasteful number, since it uses less digits than its factorization.

49465308906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8239 (or 8196 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 49465308906 in words is "forty-nine billion, four hundred sixty-five million, three hundred eight thousand, nine hundred six".

Divisors: 1 2 3 6 9 13 18 26 27 31 39 54 62 78 81 93 117 162 186 234 243 279 351 403 486 558 702 806 837 961 1053 1209 1674 1922 2106 2418 2511 2883 3159 3627 5022 5766 6318 7254 7533 8147 8649 10881 12493 15066 16294 17298 21762 24441 24986 25947 32643 37479 48882 51894 65286 73323 74958 77841 97929 105911 112437 146646 155682 195858 211822 219969 224874 233523 252557 317733 337311 439938 467046 505114 635466 659907 674622 757671 953199 1011933 1319814 1515342 1906398 1979721 2023866 2273013 2859597 3035799 3283241 3959442 4546026 5719194 6071598 6566482 6819039 7829267 8578791 9849723 13638078 15658534 17157582 19699446 20457117 23487801 25736373 29549169 40914234 46975602 51472746 59098338 61371351 70463403 88647507 101780471 122742702 140926806 177295014 203560942 211390209 265942521 305341413 422780418 531885042 610682826 634170627 797827563 916024239 1268341254 1595655126 1832048478 1902511881 2748072717 3805023762 5496145434 8244218151 16488436302 24732654453 49465308906