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109271195424 = 25342937101389
BaseRepresentation
bin110010111000100010…
…0100001111100100000
3101110001022000212110000
41211301010201330200
53242241411223144
6122110512540000
710615561556526
oct1456104417440
9343038025400
10109271195424
1142383817486
1219216851600
13a3c55139b1
1454084ac316
152c98135769
hex1971121f20

109271195424 has 480 divisors, whose sum is σ = 345696951600. Its totient is φ = 33791385600.

The previous prime is 109271195417. The next prime is 109271195483. The reversal of 109271195424 is 424591172901.

109271195424 is a `hidden beast` number, since 1 + 0 + 92 + 7 + 1 + 19 + 542 + 4 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 93349803024 + 15921392400 = 305532^2 + 126180^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 109271195424.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 280902622 + ... + 280903010.

Almost surely, 2109271195424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109271195424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172848475800).

109271195424 is an abundant number, since it is smaller than the sum of its proper divisors (236425756176).

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

109271195424 is a wasteful number, since it uses less digits than its factorization.

109271195424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 109271195424 in words is "one hundred nine billion, two hundred seventy-one million, one hundred ninety-five thousand, four hundred twenty-four".