Search a number
-
+
69260766240 = 25351779107441
BaseRepresentation
bin100000010000001000…
…0110110110000100000
320121202220100110210110
41000200100312300200
52113321224004430
651452402331320
75001226541121
oct1004020666040
9217686313713
1069260766240
1127411995886
121150b359b40
1366ba24c423
1434d0788048
151c0578d7b0
hex1020436c20

69260766240 has 192 divisors, whose sum is σ = 233931317760. Its totient is φ = 17162895360.

The previous prime is 69260766233. The next prime is 69260766271. The reversal of 69260766240 is 4266706296.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 69260766240.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 590920 + ... + 698360.

It is an arithmetic number, because the mean of its divisors is an integer number (1218392280).

Almost surely, 269260766240 is an apocalyptic number.

69260766240 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 69260766240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116965658880).

69260766240 is an abundant number, since it is smaller than the sum of its proper divisors (164670551520).

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

69260766240 is a wasteful number, since it uses less digits than its factorization.

69260766240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107555 (or 107547 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 48.

The spelling of 69260766240 in words is "sixty-nine billion, two hundred sixty million, seven hundred sixty-six thousand, two hundred forty".