Search a number
-
+
10406182007249 = 72336380246479
BaseRepresentation
bin1001011101101110000011…
…0010000011000111010001
31100211211011201100010111122
42113123200302003013101
52330443330043212444
634044311203052025
72122551614422130
oct227334062030721
940754151303448
1010406182007249
1133522674aaa16
121200955371015
135a63b648a002
1427d93a35b917
15130a4e4274ee
hex976e0c831d1

10406182007249 has 8 divisors (see below), whose sum is σ = 11943821410560. Its totient is φ = 8881303097376.

The previous prime is 10406182007227. The next prime is 10406182007279. The reversal of 10406182007249 is 94270028160401.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10406182007249 - 224 = 10406165230033 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10406182007279) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3190121609 + ... + 3190124870.

It is an arithmetic number, because the mean of its divisors is an integer number (1492977676320).

Almost surely, 210406182007249 is an apocalyptic number.

It is an amenable number.

10406182007249 is a deficient number, since it is larger than the sum of its proper divisors (1537639403311).

10406182007249 is an equidigital number, since it uses as much as digits as its factorization.

10406182007249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6380246719.

The product of its (nonzero) digits is 193536, while the sum is 44.

The spelling of 10406182007249 in words is "ten trillion, four hundred six billion, one hundred eighty-two million, seven thousand, two hundred forty-nine".

Divisors: 1 7 233 1631 6380246479 44661725353 1486597429607 10406182007249