Search a number
-
+
69964382880 = 25335710092293
BaseRepresentation
bin100000100101000110…
…0111100001010100000
320200120221022220101000
41001022030330022200
52121241340223010
652050255312000
75024532304440
oct1011214741240
9220527286330
1069964382880
1127743085437
1211686b1b600
13679cc56a32
143559dc4120
151c474277c0
hex104a33c2a0

69964382880 has 384 divisors, whose sum is σ = 280257062400. Its totient is φ = 15969042432.

The previous prime is 69964382869. The next prime is 69964382897. The reversal of 69964382880 is 8828346996.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30511014 + ... + 30513306.

It is an arithmetic number, because the mean of its divisors is an integer number (729836100).

Almost surely, 269964382880 is an apocalyptic number.

69964382880 is a gapful number since it is divisible by the number (60) 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 69964382880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140128531200).

69964382880 is an abundant number, since it is smaller than the sum of its proper divisors (210292679520).

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

69964382880 is a wasteful number, since it uses less digits than its factorization.

69964382880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3333 (or 3319 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 69964382880 in words is "sixty-nine billion, nine hundred sixty-four million, three hundred eighty-two thousand, eight hundred eighty".