Search a number
-
+
9909099900 = 223352729101179
BaseRepresentation
bin10010011101010000…
…01101110101111100
3221120120201102122000
421032220031311330
5130243212144100
64315134222300
7500361650040
oct111650156574
927516642560
109909099900
114225479467
121b06654990
13c1bc1192b
146a0060020
153cee04900
hex24ea0dd7c

9909099900 has 576 divisors, whose sum is σ = 38247552000. Its totient is φ = 2153088000.

The previous prime is 9909099899. The next prime is 9909099901. The reversal of 9909099900 is 99909099.

It is an interprime number because it is at equal distance from previous prime (9909099899) and next prime (9909099901).

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (9909099901) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 55358011 + ... + 55358189.

It is an arithmetic number, because the mean of its divisors is an integer number (66402000).

Almost surely, 29909099900 is an apocalyptic number.

9909099900 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 9909099900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19123776000).

9909099900 is an abundant number, since it is smaller than the sum of its proper divisors (28338452100).

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

9909099900 is a wasteful number, since it uses less digits than its factorization.

9909099900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 326 counting only the distinct ones).

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

The square root of 9909099900 is about 99544.4619253126. The cubic root of 9909099900 is about 2147.8868655497.

The spelling of 9909099900 in words is "nine billion, nine hundred nine million, ninety-nine thousand, nine hundred".