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6930189900 = 223552535381
BaseRepresentation
bin1100111010001001…
…00100111001001100
3122212222101010100000
412131010210321030
5103143112034100
63103402004300
7333510433164
oct63504447114
918788333300
106930189900
112a36a03277
121414aa6690
13865a029aa
1449a5875a4
152a8629900
hex19d124e4c

6930189900 has 216 divisors, whose sum is σ = 22956124464. Its totient is φ = 1812844800.

The previous prime is 6930189899. The next prime is 6930189923. The reversal of 6930189900 is 99810396.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1285210 + ... + 1290590.

It is an arithmetic number, because the mean of its divisors is an integer number (106278354).

Almost surely, 26930189900 is an apocalyptic number.

6930189900 is a gapful number since it is divisible by the number (60) 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 6930189900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11478062232).

6930189900 is an abundant number, since it is smaller than the sum of its proper divisors (16025934564).

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

6930189900 is a wasteful number, since it uses less digits than its factorization.

6930189900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5463 (or 5444 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 6930189900 is about 83247.7621320838. The cubic root of 6930189900 is about 1906.5507863268.

It can be divided in two parts, 69301 and 89900, that added together give a square (159201 = 3992).

The spelling of 6930189900 in words is "six billion, nine hundred thirty million, one hundred eighty-nine thousand, nine hundred".