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49095427536 = 24331311814793
BaseRepresentation
bin101101101110010100…
…001100010111010000
311200201112201010111000
4231232110030113100
51301021412140121
634315405222000
73355426151151
oct555624142720
9150645633430
1049095427536
11199040a8401
129621b61900
13482553504c
14253a543928
151425263526
hexb6e50c5d0

49095427536 has 160 divisors (see below), whose sum is σ = 142812109440. Its totient is φ = 16147123200.

The previous prime is 49095427531. The next prime is 49095427571. The reversal of 49095427536 is 63572459094.

49095427536 is a `hidden beast` number, since 4 + 90 + 9 + 542 + 7 + 5 + 3 + 6 = 666.

It is a super-2 number, since 2×490954275362 (a number of 22 digits) contains 22 as substring.

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 (49095427531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10240756 + ... + 10245548.

It is an arithmetic number, because the mean of its divisors is an integer number (892575684).

Almost surely, 249095427536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49095427536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71406054720).

49095427536 is an abundant number, since it is smaller than the sum of its proper divisors (93716681904).

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

49095427536 is a wasteful number, since it uses less digits than its factorization.

49095427536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5122 (or 5110 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 49095427536 in words is "forty-nine billion, ninety-five million, four hundred twenty-seven thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 131 144 181 216 262 362 393 432 524 543 724 786 1048 1086 1179 1448 1572 1629 2096 2172 2358 2896 3144 3258 3537 4344 4716 4793 4887 6288 6516 7074 8688 9432 9586 9774 13032 14148 14379 18864 19172 19548 23711 26064 28296 28758 38344 39096 43137 47422 56592 57516 71133 76688 78192 86274 94844 115032 129411 142266 172548 189688 213399 230064 258822 284532 345096 379376 426798 517644 569064 627883 640197 690192 853596 867533 1035288 1138128 1255766 1280394 1707192 1735066 1883649 2070576 2511532 2560788 2602599 3414384 3470132 3767298 5023064 5121576 5205198 5650947 6940264 7534596 7807797 10046128 10243152 10410396 11301894 13880528 15069192 15615594 16952841 20820792 22603788 23423391 30138384 31231188 33905682 41641584 45207576 46846782 62462376 67811364 90415152 93693564 113646823 124924752 135622728 187387128 227293646 271245456 340940469 374774256 454587292 681880938 909174584 1022821407 1363761876 1818349168 2045642814 2727523752 3068464221 4091285628 5455047504 6136928442 8182571256 12273856884 16365142512 24547713768 49095427536