Search a number
-
+
70866385920 = 21033511291607
BaseRepresentation
bin100000111111111110…
…1110011110000000000
320202220210121101221000
41001333331303300000
52130113243322140
652320000332000
75056064225061
oct1017775636000
9222823541830
1070866385920
11280662556a0
1211899014000
1368b4aa2045
143603b02568
151c9b6eca30
hex107ff73c00

70866385920 has 704 divisors, whose sum is σ = 284392166400. Its totient is φ = 16577003520.

The previous prime is 70866385901. The next prime is 70866385921. The reversal of 70866385920 is 2958366807.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (704).

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 (70866385921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44097757 + ... + 44099363.

Almost surely, 270866385920 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 70866385920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142196083200).

70866385920 is an abundant number, since it is smaller than the sum of its proper divisors (213525780480).

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

70866385920 is a wasteful number, since it uses less digits than its factorization.

70866385920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1681 (or 1657 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 70866385920 in words is "seventy billion, eight hundred sixty-six million, three hundred eighty-five thousand, nine hundred twenty".