Search a number
-
+
121594039352448 = 273131731372275503
BaseRepresentation
bin11011101001011011010001…
…100001011011110010000000
3120221112021110200001020122120
4123221123101201123302000
5111414144043033234243
61110335310332204240
734416610435133055
oct3351332141336200
9527467420036576
10121594039352448
113581a81929a9a3
12117798a5909680
1352b0365484b10
14220527bc7302c
15e0ce177c6c83
hex6e96d185bc80

121594039352448 has 1024 divisors, whose sum is σ = 392236097863680. Its totient is φ = 33003802460160.

The previous prime is 121594039352377. The next prime is 121594039352483. The reversal of 121594039352448 is 844253930495121.

121594039352448 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1215940393524482 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121594039352391 and 121594039352400.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 22095952065 + ... + 22095957567.

It is an arithmetic number, because the mean of its divisors is an integer number (383043064320).

Almost surely, 2121594039352448 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 121594039352448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196118048931840).

121594039352448 is an abundant number, since it is smaller than the sum of its proper divisors (270642058511232).

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

121594039352448 is a wasteful number, since it uses less digits than its factorization.

121594039352448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5845 (or 5833 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 60.

The spelling of 121594039352448 in words is "one hundred twenty-one trillion, five hundred ninety-four billion, thirty-nine million, three hundred fifty-two thousand, four hundred forty-eight".