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99337094400 = 2835231475367
BaseRepresentation
bin101110010000011110…
…0111100010100000000
3100111101222021020201110
41130200330330110000
53111420244010100
6113345042403320
710114444241055
oct1344074742400
9314358236643
1099337094400
1139146222335
1217303960540
1394a138a4cb
144b44dc102c
1528b5e43250
hex1720f3c500

99337094400 has 864 divisors, whose sum is σ = 357385125888. Its totient is φ = 24249139200.

The previous prime is 99337094399. The next prime is 99337094407. The reversal of 99337094400 is 449073399.

It is a super-2 number, since 2×993370944002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 99337094400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99337094407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1482643167 + ... + 1482643233.

It is an arithmetic number, because the mean of its divisors is an integer number (413640192).

Almost surely, 299337094400 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 99337094400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178692562944).

99337094400 is an abundant number, since it is smaller than the sum of its proper divisors (258048031488).

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

99337094400 is a wasteful number, since it uses less digits than its factorization.

99337094400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 48.

The spelling of 99337094400 in words is "ninety-nine billion, three hundred thirty-seven million, ninety-four thousand, four hundred".