Search a number
-
+
117773323127712 = 253572476576529
BaseRepresentation
bin11010110001110100111101…
…000101101100101110100000
3120110000000112101101222100000
4122301310331011230232200
5110414044231210041322
61054252152343500000
733543561511102200
oct3261647505545640
9513000471358300
10117773323127712
113458742761a23a
1211261313757600
135093c90b00605
14211238b570400
15d9384b1ea3ac
hex6b1d3d16cba0

117773323127712 has 432 divisors, whose sum is σ = 412624329586560. Its totient is φ = 32933568632832.

The previous prime is 117773323127693. The next prime is 117773323127731. The reversal of 117773323127712 is 217721323377711.

117773323127712 is a `hidden beast` number, since 1 + 1 + 7 + 7 + 7 + 332 + 31 + 277 + 1 + 2 = 666.

117773323127712 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (117773323127693) and next prime (117773323127731).

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14619864 + ... + 21196392.

It is an arithmetic number, because the mean of its divisors is an integer number (955148911080).

Almost surely, 2117773323127712 is an apocalyptic number.

117773323127712 is a gapful number since it is divisible by the number (12) 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 117773323127712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206312164793280).

117773323127712 is an abundant number, since it is smaller than the sum of its proper divisors (294851006458848).

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

117773323127712 is an equidigital number, since it uses as much as digits as its factorization.

117773323127712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6576615 (or 6576588 counting only the distinct ones).

The product of its digits is 3630312, while the sum is 54.

The spelling of 117773323127712 in words is "one hundred seventeen trillion, seven hundred seventy-three billion, three hundred twenty-three million, one hundred twenty-seven thousand, seven hundred twelve".