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99781080448 = 2772917772161
BaseRepresentation
bin101110011101101101…
…0100111010110000000
3100112112220201002002011
41130323122213112000
53113322424033243
6113501102502304
710131445122040
oct1347332472600
9315486632064
1099781080448
1139353900655
1217408594994
13954235ca4a
144b87d55720
1528dede489d
hex173b6a7580

99781080448 has 128 divisors (see below), whose sum is σ = 235255003200. Its totient is φ = 41246392320.

The previous prime is 99781080401. The next prime is 99781080467. The reversal of 99781080448 is 84408018799.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a junction number, because it is equal to n+sod(n) for n = 99781080392 and 99781080401.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 46172488 + ... + 46174648.

Almost surely, 299781080448 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 99781080448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117627501600).

99781080448 is an abundant number, since it is smaller than the sum of its proper divisors (135473922752).

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

99781080448 is a wasteful number, since it uses less digits than its factorization.

99781080448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3988 (or 3976 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 58.

The spelling of 99781080448 in words is "ninety-nine billion, seven hundred eighty-one million, eighty thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 128 203 224 232 406 448 464 812 896 928 1624 1777 1856 2161 3248 3554 3712 4322 6496 7108 8644 12439 12992 14216 15127 17288 24878 25984 28432 30254 34576 49756 51533 56864 60508 62669 69152 99512 103066 113728 121016 125338 138304 199024 206132 227456 242032 250676 276608 360731 398048 412264 438683 484064 501352 721462 796096 824528 877366 968128 1002704 1442924 1592192 1649056 1754732 1936256 2005408 2885848 3298112 3509464 3840097 4010816 5771696 6596224 7018928 7680194 8021632 11543392 14037856 15360388 23086784 26880679 28075712 30720776 46173568 53761358 56151424 61441552 107522716 111362813 122883104 215045432 222725626 245766208 430090864 445451252 491532416 779539691 860181728 890902504 1559079382 1720363456 1781805008 3118158764 3440726912 3563610016 6236317528 7127220032 12472635056 14254440064 24945270112 49890540224 99781080448