Search a number
-
+
10270414722 = 234325691627
BaseRepresentation
bin10011001000010101…
…00001011110000010
3222111202121010101110
421210022201132002
5132013211232342
64415042344150
7512340041031
oct114412413602
928452533343
1010270414722
1143a0421657
121ba765b056
13c78a29c99
146d6034718
154019c5c9c
hex2642a1782

10270414722 has 48 divisors (see below), whose sum is σ = 21079539360. Its totient is φ = 3335927616.

The previous prime is 10270414703. The next prime is 10270414727. The reversal of 10270414722 is 22741407201.

It is a self number, because there is not a number n which added to its sum of digits gives 10270414722.

It is not an unprimeable number, because it can be changed into a prime (10270414727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6311673 + ... + 6313299.

It is an arithmetic number, because the mean of its divisors is an integer number (439157070).

Almost surely, 210270414722 is an apocalyptic number.

10270414722 is an abundant number, since it is smaller than the sum of its proper divisors (10809124638).

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

10270414722 is a wasteful number, since it uses less digits than its factorization.

10270414722 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2287 (or 2244 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 30.

The spelling of 10270414722 in words is "ten billion, two hundred seventy million, four hundred fourteen thousand, seven hundred twenty-two".

Divisors: 1 2 3 6 43 86 129 258 569 1138 1627 1707 1849 3254 3414 3698 4881 5547 9762 11094 24467 48934 69961 73401 139922 146802 209883 419766 925763 1052081 1851526 2104162 2777289 3008323 3156243 5554578 6016646 6312486 9024969 18049938 39807809 79615618 119423427 238846854 1711735787 3423471574 5135207361 10270414722