Search a number
-
+
10066440120 = 2335112739497
BaseRepresentation
bin10010110000000000…
…11010111110111000
3221222112210010211120
421120000122332320
5131104002040440
64342514425240
7504312220632
oct113000327670
927875703746
1010066440120
1142a6274500
121b4b292220
13c456b0859
146b6cd9a52
153ddb33dd0
hex25801afb8

10066440120 has 192 divisors, whose sum is σ = 33652553760. Its totient is φ = 2406666240.

The previous prime is 10066440091. The next prime is 10066440203. The reversal of 10066440120 is 2104466001.

It is a super-2 number, since 2×100664401202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1055212 + ... + 1064708.

Almost surely, 210066440120 is an apocalyptic number.

10066440120 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 10066440120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16826276880).

10066440120 is an abundant number, since it is smaller than the sum of its proper divisors (23586113640).

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

10066440120 is a wasteful number, since it uses less digits than its factorization.

10066440120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9606 (or 9591 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The spelling of 10066440120 in words is "ten billion, sixty-six million, four hundred forty thousand, one hundred twenty".