Search a number
-
+
1069067155296 = 253719731146989
BaseRepresentation
bin11111000111010010101…
…11100011011101100000
310210012110010110102222210
433203221113203131200
5120003422142432141
62135042255202120
7140144323612560
oct17435127433540
93705403412883
101069067155296
113824305a1a28
12153238516340
1379a74389a7a
1439a591d2da0
151cc2000d916
hexf8e95e3760

1069067155296 has 192 divisors, whose sum is σ = 3422251123200. Its totient is φ = 285407318016.

The previous prime is 1069067155291. The next prime is 1069067155309. The reversal of 1069067155296 is 6925517609601.

It is a super-2 number, since 2×10690671552962 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1069067155291) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 358570 + ... + 1505558.

It is an arithmetic number, because the mean of its divisors is an integer number (17824224600).

Almost surely, 21069067155296 is an apocalyptic number.

1069067155296 is a gapful number since it is divisible by the number (16) 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 1069067155296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1711125561600).

1069067155296 is an abundant number, since it is smaller than the sum of its proper divisors (2353183967904).

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

1069067155296 is a wasteful number, since it uses less digits than its factorization.

1069067155296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1147101 (or 1147093 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 57.

The spelling of 1069067155296 in words is "one trillion, sixty-nine billion, sixty-seven million, one hundred fifty-five thousand, two hundred ninety-six".