Search a number
-
+
70328332800 = 293252111923127
BaseRepresentation
bin100000101111111100…
…1010011001000000000
320201112022011110210200
41001133321103020000
52123013023122200
652150340125200
75036541652065
oct1013771231000
9221468143720
1070328332800
112790a5683a0
1211768996800
13682a48560b
143592482c6c
151c69369800
hex105fe53200

70328332800 has 1440 divisors, whose sum is σ = 303957688320. Its totient is φ = 15328051200.

The previous prime is 70328332799. The next prime is 70328332859. The reversal of 70328332800 is 823382307.

70328332800 is a `hidden beast` number, since 7 + 0 + 328 + 3 + 328 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 553766337 + ... + 553766463.

It is an arithmetic number, because the mean of its divisors is an integer number (211081728).

Almost surely, 270328332800 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 70328332800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151978844160).

70328332800 is an abundant number, since it is smaller than the sum of its proper divisors (233629355520).

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

70328332800 is a wasteful number, since it uses less digits than its factorization.

70328332800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 70328332800 in words is "seventy billion, three hundred twenty-eight million, three hundred thirty-two thousand, eight hundred".