Search a number
-
+
10648751684872 = 2376117871744441
BaseRepresentation
bin1001101011110101101100…
…0011111011110100001000
31101201000021210222111111211
42122331123003323310020
52343432120412403442
634351545145102504
72146226664600340
oct232753303736410
941630253874454
1010648751684872
113436123793a74
12123b971487a34
135c3233045a32
1428b58bdd7d20
15136ee9c74617
hex9af5b0fbd08

10648751684872 has 64 divisors (see below), whose sum is σ = 23205823482240. Its totient is φ = 4486420569600.

The previous prime is 10648751684773. The next prime is 10648751684881. The reversal of 10648751684872 is 27848615784601.

It is a super-2 number, since 2×106487516848722 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10648751684798 and 10648751684807.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5232172 + ... + 6976612.

It is an arithmetic number, because the mean of its divisors is an integer number (362590991910).

Almost surely, 210648751684872 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 10648751684872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11602911741120).

10648751684872 is an abundant number, since it is smaller than the sum of its proper divisors (12557071797368).

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

10648751684872 is a wasteful number, since it uses less digits than its factorization.

10648751684872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1746302 (or 1746298 counting only the distinct ones).

The product of its (nonzero) digits is 144506880, while the sum is 67.

The spelling of 10648751684872 in words is "ten trillion, six hundred forty-eight billion, seven hundred fifty-one million, six hundred eighty-four thousand, eight hundred seventy-two".

Divisors: 1 2 4 7 8 14 28 56 61 122 244 427 488 854 1708 1787 3416 3574 7148 12509 14296 25018 50036 100072 109007 218014 436028 763049 872056 1526098 1744441 3052196 3488882 6104392 6977764 12211087 13955528 24422174 48844348 97688696 106410901 212821802 425643604 744876307 851287208 1489752614 2979505228 3117316067 5959010456 6234632134 12469264268 21821212469 24938528536 43642424938 87284849876 174569699752 190156280087 380312560174 760625120348 1331093960609 1521250240696 2662187921218 5324375842436 10648751684872