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109089473220 = 223457213611733
BaseRepresentation
bin110010110011000111…
…1010100001011000100
3101102120122002102110000
41211212033110023010
53241403401120340
6122040502001300
710611224136300
oct1454617241304
9342518072400
10109089473220
11422a0188942
1219185a16230
13a396988c70
1453cc2c6d00
152c871dbd30
hex19663d42c4

109089473220 has 720 divisors, whose sum is σ = 435991813488. Its totient is φ = 22626293760.

The previous prime is 109089473189. The next prime is 109089473299. The reversal of 109089473220 is 22374980901.

109089473220 is a `hidden beast` number, since 10 + 90 + 89 + 473 + 2 + 2 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 34399862784 + 74689610436 = 185472^2 + 273294^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 62947474 + ... + 62949206.

Almost surely, 2109089473220 is an apocalyptic number.

109089473220 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 109089473220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217995906744).

109089473220 is an abundant number, since it is smaller than the sum of its proper divisors (326902340268).

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

109089473220 is a wasteful number, since it uses less digits than its factorization.

109089473220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1842 (or 1824 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 109089473220 in words is "one hundred nine billion, eighty-nine million, four hundred seventy-three thousand, two hundred twenty".