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99893993472 = 213337213709
BaseRepresentation
bin101110100001000100…
…1010110000000000000
3100112211210011122122000
41131002021112000000
53114040330242342
6113520214544000
710134315635400
oct1350211260000
9315753148560
1099893993472
11394016118a9
121743a368000
13955c874ca0
144b98d48800
1528e9c9a44c
hex1742256000

99893993472 has 672 divisors, whose sum is σ = 371291205600. Its totient is φ = 26308509696.

The previous prime is 99893993467. The next prime is 99893993489. The reversal of 99893993472 is 27439939899.

It is a happy number.

99893993472 is a `hidden beast` number, since 99 + 89 + 399 + 3 + 4 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×998939934722 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 99893993472.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 140893854 + ... + 140894562.

It is an arithmetic number, because the mean of its divisors is an integer number (552516675).

Almost surely, 299893993472 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 99893993472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185645602800).

99893993472 is an abundant number, since it is smaller than the sum of its proper divisors (271397212128).

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

99893993472 is a wasteful number, since it uses less digits than its factorization.

99893993472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 734 counting only the distinct ones).

The product of its digits is 238085568, while the sum is 72.

The spelling of 99893993472 in words is "ninety-nine billion, eight hundred ninety-three million, nine hundred ninety-three thousand, four hundred seventy-two".