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99273640283136 = 210331117253101211
BaseRepresentation
bin10110100100100111110010…
…000100001000110000000000
3111000111110121200100202212000
4112210213302010020300000
5101002444403403030021
6551045403013104000
726624166231336234
oct2644476204106000
9430443550322760
1099273640283136
11296a4794977110
12b173a91328000
134351605859707
141a72c26b3a5c4
15b725064aab26
hex5a49f2108c00

99273640283136 has 2112 divisors, whose sum is σ = 352230734200320. Its totient is φ = 27373731840000.

The previous prime is 99273640283117. The next prime is 99273640283159. The reversal of 99273640283136 is 63138204637299.

99273640283136 is a `hidden beast` number, since 9 + 9 + 273 + 6 + 40 + 2 + 8 + 313 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 470491186071 + ... + 470491186281.

Almost surely, 299273640283136 is an apocalyptic number.

99273640283136 is a gapful number since it is divisible by the number (96) 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 99273640283136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176115367100160).

99273640283136 is an abundant number, since it is smaller than the sum of its proper divisors (252957093917184).

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

99273640283136 is a wasteful number, since it uses less digits than its factorization.

99273640283136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 70543872, while the sum is 63.

The spelling of 99273640283136 in words is "ninety-nine trillion, two hundred seventy-three billion, six hundred forty million, two hundred eighty-three thousand, one hundred thirty-six".