Search a number
-
+
7008118273152 = 273231792484049
BaseRepresentation
bin110010111111011010001…
…1001100111010010000000
3220210222011210220222112200
41211332310121213102000
51404310111234220102
622523252440153200
71322214463310103
oct145766431472200
926728153828480
107008118273152
1122621430780a7
12952278768800
133bab2a50c659
141a32a24ca73a
15c246d2ad51c
hex65fb4667480

7008118273152 has 192 divisors, whose sum is σ = 21080641920000. Its totient is φ = 2232066170880.

The previous prime is 7008118273133. The next prime is 7008118273241. The reversal of 7008118273152 is 2513728118007.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×70081182731522 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 7008118273098 and 7008118273107.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1579224 + ... + 4063272.

It is an arithmetic number, because the mean of its divisors is an integer number (109795010000).

Almost surely, 27008118273152 is an apocalyptic number.

7008118273152 is a gapful number since it is divisible by the number (72) 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 7008118273152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10540320960000).

7008118273152 is an abundant number, since it is smaller than the sum of its proper divisors (14072523646848).

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

7008118273152 is a wasteful number, since it uses less digits than its factorization.

7008118273152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2484179 (or 2484164 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

The spelling of 7008118273152 in words is "seven trillion, eight billion, one hundred eighteen million, two hundred seventy-three thousand, one hundred fifty-two".