Search a number
-
+
2694326638080 = 293572111738287
BaseRepresentation
bin100111001101010010011…
…000011101011000000000
3100112120112020220121020110
4213031102120131120000
5323120440104404310
65421431230311320
7365441632356600
oct47152230353000
910476466817213
102694326638080
11949726167720
12376218658540
131670c64cc00c
14945984d0c00
154a143e6dd20
hex2735261d600

2694326638080 has 960 divisors, whose sum is σ = 11573858368512. Its totient is φ = 526913372160.

The previous prime is 2694326638057. The next prime is 2694326638109. The reversal of 2694326638080 is 808366234962.

It is a tau number, because it is divible by the number of its divisors (960).

It is a self number, because there is not a number n which added to its sum of digits gives 2694326638080.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 70352697 + ... + 70390983.

Almost surely, 22694326638080 is an apocalyptic number.

2694326638080 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 2694326638080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5786929184256).

2694326638080 is an abundant number, since it is smaller than the sum of its proper divisors (8879531730432).

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

2694326638080 is a wasteful number, since it uses less digits than its factorization.

2694326638080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38355 (or 38332 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 57.

The spelling of 2694326638080 in words is "two trillion, six hundred ninety-four billion, three hundred twenty-six million, six hundred thirty-eight thousand, eighty".