Search a number
-
+
2675106639360 = 293351723312103
BaseRepresentation
bin100110111011011000110…
…001111110111000000000
3100110201220210002111121000
4212323120301332320000
5322312104244424420
65404532123132000
7364161431154111
oct46733061767000
910421823074530
102675106639360
11941562a5a161
12372553974000
131653525c45cc
1493693a4a208
15498bb929690
hex26ed8c7ee00

2675106639360 has 1920 divisors, whose sum is σ = 10953507502080. Its totient is φ = 615457751040.

The previous prime is 2675106639353. The next prime is 2675106639437. The reversal of 2675106639360 is 639366015762.

2675106639360 is a `hidden beast` number, since 2 + 6 + 7 + 510 + 6 + 63 + 9 + 3 + 60 = 666.

2675106639360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2675106639297 and 2675106639306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 25971909069 + ... + 25971909171.

It is an arithmetic number, because the mean of its divisors is an integer number (5704951824).

Almost surely, 22675106639360 is an apocalyptic number.

2675106639360 is a gapful number since it is divisible by the number (20) 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 2675106639360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5476753751040).

2675106639360 is an abundant number, since it is smaller than the sum of its proper divisors (8278400862720).

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

2675106639360 is a wasteful number, since it uses less digits than its factorization.

2675106639360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 54.

The spelling of 2675106639360 in words is "two trillion, six hundred seventy-five billion, one hundred six million, six hundred thirty-nine thousand, three hundred sixty".