Search a number
-
+
69319968480 = 253657591439
BaseRepresentation
bin100000010001111001…
…0101100011011100000
320121221000202021000000
41000203302230123200
52113431402442410
651502315300000
75002546003320
oct1004362543340
9217830667000
1069319968480
1127442351354
121152714a600
1366c95aa239
1434d8599280
151c0aa84dc0
hex1023cac6e0

69319968480 has 672 divisors, whose sum is σ = 285572044800. Its totient is φ = 15565188096.

The previous prime is 69319968461. The next prime is 69319968481. The reversal of 69319968480 is 8486991396.

It is a happy number.

69319968480 is a `hidden beast` number, since 6 + 9 + 3 + 1 + 99 + 68 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (69319968481) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 48171601 + ... + 48173039.

It is an arithmetic number, because the mean of its divisors is an integer number (424958400).

Almost surely, 269319968480 is an apocalyptic number.

69319968480 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 69319968480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142786022400).

69319968480 is an abundant number, since it is smaller than the sum of its proper divisors (216252076320).

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

69319968480 is a wasteful number, since it uses less digits than its factorization.

69319968480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1538 (or 1515 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 63.

The spelling of 69319968480 in words is "sixty-nine billion, three hundred nineteen million, nine hundred sixty-eight thousand, four hundred eighty".