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99999900000 = 2533557111337
BaseRepresentation
bin101110100100001110…
…1010110000101100000
3100120010011110021002000
41131020131112011200
53114244433300000
6113534520524000
710140043060650
oct1351035260540
9316104407060
1099999900000
1139456377a60
1217469920600
1395787a6080
144ba9036360
15290421a000
hex1748756160

99999900000 has 2304 divisors, whose sum is σ = 502707824640. Its totient is φ = 18662400000.

The previous prime is 99999899983. The next prime is 99999900067. The reversal of 99999900000 is 999999.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 99999900000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2702699982 + ... + 2702700018.

It is an arithmetic number, because the mean of its divisors is an integer number (218189160).

Almost surely, 299999900000 is an apocalyptic number.

99999900000 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 99999900000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251353912320).

99999900000 is an abundant number, since it is smaller than the sum of its proper divisors (402707924640).

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

99999900000 is a wasteful number, since it uses less digits than its factorization.

99999900000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 531441, while the sum is 54.

99999900000 divided by its reverse (999999) gives a 5-th power (100000 = 105).

It can be divided in two parts, 99999 and 900000, that added together give a palindrome (999999).

The spelling of 99999900000 in words is "ninety-nine billion, nine hundred ninety-nine million, nine hundred thousand".