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96480016276 = 227210929315413
BaseRepresentation
bin101100111011010101…
…0000011011110010100
3100020000212011122100011
41121312222003132110
53040042341010101
6112153341330004
76653602415200
oct1316652033624
9306025148304
1096480016276
1137a0a4aa246
1216846b66904
139137497237
14495377db00
15279a1d1751
hex1676a83794

96480016276 has 72 divisors (see below), whose sum is σ = 198897015240. Its totient is φ = 40826757888.

The previous prime is 96480016249. The next prime is 96480016357. The reversal of 96480016276 is 67261008469.

It can be written as a sum of positive squares in 4 ways, for example, as 66177562500 + 30302453776 = 257250^2 + 174076^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

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 23 ways as a sum of consecutive naturals, for example, 6251946 + ... + 6267358.

It is an arithmetic number, because the mean of its divisors is an integer number (2762458545).

Almost surely, 296480016276 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 96480016276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99448507620).

96480016276 is an abundant number, since it is smaller than the sum of its proper divisors (102416998964).

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

96480016276 is a wasteful number, since it uses less digits than its factorization.

96480016276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15833 (or 15824 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 49.

The spelling of 96480016276 in words is "ninety-six billion, four hundred eighty million, sixteen thousand, two hundred seventy-six".

Divisors: 1 2 4 7 14 28 49 98 109 196 218 293 436 586 763 1172 1526 2051 3052 4102 5341 8204 10682 14357 15413 21364 28714 30826 31937 57428 61652 63874 107891 127748 215782 223559 431564 447118 755237 894236 1510474 1564913 1680017 3020948 3129826 3360034 4516009 6259652 6720068 9032018 11760119 18064036 23520238 31612063 47040476 63224126 82320833 126448252 164641666 221284441 329283332 442568882 492244981 885137764 984489962 1968979924 3445714867 6891429734 13782859468 24120004069 48240008138 96480016276