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11949039900 = 223252717315961
BaseRepresentation
bin10110010000011011…
…11110000100011100
31010211202020010020100
423020031332010130
5143432423234100
65253405221100
7602052110010
oct131015760434
933752203210
1011949039900
115081a15596
122395861790
131185731415
14814d54540
1549e056400
hex2c837e11c

11949039900 has 864 divisors, whose sum is σ = 48356904960. Its totient is φ = 2405376000.

The previous prime is 11949039887. The next prime is 11949039901. The reversal of 11949039900 is 993094911.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11949039901) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 195885870 + ... + 195885930.

It is an arithmetic number, because the mean of its divisors is an integer number (55968640).

Almost surely, 211949039900 is an apocalyptic number.

11949039900 is a gapful number since it is divisible by the number (10) 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 11949039900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24178452480).

11949039900 is an abundant number, since it is smaller than the sum of its proper divisors (36407865060).

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

11949039900 is a wasteful number, since it uses less digits than its factorization.

11949039900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 78732, while the sum is 45.

The spelling of 11949039900 in words is "eleven billion, nine hundred forty-nine million, thirty-nine thousand, nine hundred".