Search a number
-
+
69335378640 = 243251123380629
BaseRepresentation
bin100000010010010110…
…1011110101011010000
320121222002202011202200
41000210231132223100
52113444324104030
651504025443200
75003123665023
oct1004455365320
9217862664680
1069335378640
1127450017220
1211530340500
1366cc844488
1434da64b1ba
151c0c0cad60
hex1024b5ead0

69335378640 has 240 divisors, whose sum is σ = 265064641920. Its totient is φ = 16077726720.

The previous prime is 69335378561. The next prime is 69335378641. The reversal of 69335378640 is 4687353396.

69335378640 is a `hidden beast` number, since 69 + 3 + 3 + 537 + 8 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (69335378641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8155 + ... + 372474.

It is an arithmetic number, because the mean of its divisors is an integer number (1104436008).

Almost surely, 269335378640 is an apocalyptic number.

69335378640 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 69335378640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132532320960).

69335378640 is an abundant number, since it is smaller than the sum of its proper divisors (195729263280).

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

69335378640 is a wasteful number, since it uses less digits than its factorization.

69335378640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380682 (or 380673 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 69335378640 in words is "sixty-nine billion, three hundred thirty-five million, three hundred seventy-eight thousand, six hundred forty".