Search a number
-
+
109666036480 = 28571121331251
BaseRepresentation
bin110011000100010011…
…0101110101100000000
3101111001210222212112211
41212020212232230000
53244044001131410
6122214015431504
710631424633610
oct1461046565400
9344053885484
10109666036480
1142566689400
1219306b25594
13a45926a060
145444acca40
152cbcb2a68a
hex19889aeb00

109666036480 has 864 divisors, whose sum is σ = 368292040704. Its totient is φ = 30412800000.

The previous prime is 109666036453. The next prime is 109666036523. The reversal of 109666036480 is 84630666901.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 436916355 + ... + 436916605.

It is an arithmetic number, because the mean of its divisors is an integer number (426263936).

Almost surely, 2109666036480 is an apocalyptic number.

109666036480 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 109666036480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184146020352).

109666036480 is an abundant number, since it is smaller than the sum of its proper divisors (258626004224).

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

109666036480 is a wasteful number, since it uses less digits than its factorization.

109666036480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 49.

The spelling of 109666036480 in words is "one hundred nine billion, six hundred sixty-six million, thirty-six thousand, four hundred eighty".