Search a number
-
+
70344415236096 = 212352371113383
BaseRepresentation
bin11111111111010010101011…
…11000011101000000000000
3100020001212020020122120100000
433333221111320131000000
533210010330300023341
6405335440033200000
720550134120602551
oct1777512570350000
9306055206576300
1070344415236096
1120460998586711
127a81276400000
1330335b0553ab1
14135298b6d8328
1581ec465d48b6
hex3ffa55e1d000

70344415236096 has 1248 divisors, whose sum is σ = 225537168310272. Its totient is φ = 21859844751360.

The previous prime is 70344415235999. The next prime is 70344415236097. The reversal of 70344415236096 is 69063251444307.

70344415236096 is a `hidden beast` number, since 7 + 0 + 3 + 4 + 4 + 4 + 1 + 5 + 23 + 609 + 6 = 666.

70344415236096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70344415236097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 183666880321 + ... + 183666880703.

It is an arithmetic number, because the mean of its divisors is an integer number (180718884864).

Almost surely, 270344415236096 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 70344415236096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112768584155136).

70344415236096 is an abundant number, since it is smaller than the sum of its proper divisors (155192753074176).

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

70344415236096 is a wasteful number, since it uses less digits than its factorization.

70344415236096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 70344415236096 in words is "seventy trillion, three hundred forty-four billion, four hundred fifteen million, two hundred thirty-six thousand, ninety-six".