Search a number
-
+
491509354848 = 25383131470881
BaseRepresentation
bin1110010011100000011…
…11011001000101100000
31201222200010120020201120
413021300033121011200
531023102343323343
61013443555132240
750340026404011
oct7116017310540
91658603506646
10491509354848
1117a4a2243096
127b3115a4080
13374700798a5
1419b0971b008
15cbba51b683
hex72703d9160

491509354848 has 96 divisors (see below), whose sum is σ = 1315727183232. Its totient is φ = 160626585600.

The previous prime is 491509354841. The next prime is 491509354937. The reversal of 491509354848 is 848453905194.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×4915093548482 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 491509354791 and 491509354800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (491509354841) 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 15 ways as a sum of consecutive naturals, for example, 808368 + ... + 1279248.

It is an arithmetic number, because the mean of its divisors is an integer number (13705491492).

Almost surely, 2491509354848 is an apocalyptic number.

491509354848 is a gapful number since it is divisible by the number (48) 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 491509354848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657863591616).

491509354848 is an abundant number, since it is smaller than the sum of its proper divisors (824217828384).

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

491509354848 is a wasteful number, since it uses less digits than its factorization.

491509354848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471108 (or 471100 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 60.

The spelling of 491509354848 in words is "four hundred ninety-one billion, five hundred nine million, three hundred fifty-four thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 83 96 131 166 249 262 332 393 498 524 664 786 996 1048 1328 1572 1992 2096 2656 3144 3984 4192 6288 7968 10873 12576 21746 32619 43492 65238 86984 130476 173968 260952 347936 470881 521904 941762 1043808 1412643 1883524 2825286 3767048 5650572 7534096 11301144 15068192 22602288 39083123 45204576 61685411 78166246 117249369 123370822 156332492 185056233 234498738 246741644 312664984 370112466 468997476 493483288 625329968 740224932 937994952 986966576 1250659936 1480449864 1875989904 1973933152 2960899728 3751979808 5119889113 5921799456 10239778226 15359667339 20479556452 30719334678 40959112904 61438669356 81918225808 122877338712 163836451616 245754677424 491509354848