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99436216320 = 214325719267
BaseRepresentation
bin101110010011011011…
…1000100000000000000
3100111122212210011102200
41130212313010000000
53112121132410240
6113402543113200
710120056615210
oct1344667040000
9314585704380
1099436216320
1139197174081
1217330ba2800
1394b8a8442c
144b54224240
1528be9c2930
hex1726dc4000

99436216320 has 360 divisors, whose sum is σ = 393965242944. Its totient is φ = 22727098368.

The previous prime is 99436216309. The next prime is 99436216333. The reversal of 99436216320 is 2361263499.

99436216320 is a `hidden beast` number, since 9 + 9 + 4 + 3 + 6 + 2 + 1 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×994362163202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5151327 + ... + 5170593.

Almost surely, 299436216320 is an apocalyptic number.

99436216320 is a gapful number since it is divisible by the number (90) 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 99436216320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196982621472).

99436216320 is an abundant number, since it is smaller than the sum of its proper divisors (294529026624).

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

99436216320 is a wasteful number, since it uses less digits than its factorization.

99436216320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19313 (or 19284 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 99436216320 in words is "ninety-nine billion, four hundred thirty-six million, two hundred sixteen thousand, three hundred twenty".