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96421174848 = 2633317176023
BaseRepresentation
bin101100111001100100…
…1100101111001000000
3100012212202110012002000
41121303021211321000
53034432310043343
6112143440224000
76652256314635
oct1316311457100
9305782405060
1096421174848
113798a26a869
121682b30b000
13912823471b
144949a2418c
152794e5bed3
hex1673265e40

96421174848 has 112 divisors (see below), whose sum is σ = 284356210560. Its totient is φ = 32038820352.

The previous prime is 96421174847. The next prime is 96421174919. The reversal of 96421174848 is 84847112469.

96421174848 is a `hidden beast` number, since 9 + 6 + 42 + 117 + 484 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 96421174794 and 96421174803.

It is not an unprimeable number, because it can be changed into a prime (96421174847) 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, 459765 + ... + 635787.

Almost surely, 296421174848 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 96421174848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142178105280).

96421174848 is an abundant number, since it is smaller than the sum of its proper divisors (187935035712).

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

96421174848 is a wasteful number, since it uses less digits than its factorization.

96421174848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176361 (or 176345 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The spelling of 96421174848 in words is "ninety-six billion, four hundred twenty-one million, one hundred seventy-four thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 317 432 576 634 864 951 1268 1728 1902 2536 2853 3804 5072 5706 7608 8559 10144 11412 15216 17118 20288 22824 30432 34236 45648 60864 68472 91296 136944 176023 182592 273888 352046 528069 547776 704092 1056138 1408184 1584207 2112276 2816368 3168414 4224552 4752621 5632736 6336828 8449104 9505242 11265472 12673656 16898208 19010484 25347312 33796416 38020968 50694624 55799291 76041936 101389248 111598582 152083872 167397873 223197164 304167744 334795746 446394328 502193619 669591492 892788656 1004387238 1339182984 1506580857 1785577312 2008774476 2678365968 3013161714 3571154624 4017548952 5356731936 6026323428 8035097904 10713463872 12052646856 16070195808 24105293712 32140391616 48210587424 96421174848