Search a number
-
+
10504997830656 = 2173373773157
BaseRepresentation
bin1001100011011110001010…
…1010100000000000000000
31101012021020100202001212000
42120313202222200000000
52334103213421040111
634201532425104000
72132650432154550
oct230674252400000
941167210661760
1010504997830656
11339016545767a
121217b32628000
135b2803855634
1428463200b160
151333d46eec56
hex98de2aa0000

10504997830656 has 1152 divisors, whose sum is σ = 37270107624960. Its totient is φ = 2861958168576.

The previous prime is 10504997830573. The next prime is 10504997830661. The reversal of 10504997830656 is 65603879940501.

10504997830656 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 499 + 7 + 83 + 0 + 65 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×105049978306562 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 10504997830593 and 10504997830602.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66910814130 + ... + 66910814286.

It is an arithmetic number, because the mean of its divisors is an integer number (32352523980).

Almost surely, 210504997830656 is an apocalyptic number.

10504997830656 is a gapful number since it is divisible by the number (16) 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 10504997830656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18635053812480).

10504997830656 is an abundant number, since it is smaller than the sum of its proper divisors (26765109794304).

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

10504997830656 is an frugal number, since it uses more digits than its factorization.

10504997830656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 10504997830656 in words is "ten trillion, five hundred four billion, nine hundred ninety-seven million, eight hundred thirty thousand, six hundred fifty-six".