Search a number
-
+
1716216948732 = 223111319167315199
BaseRepresentation
bin11000111110010110100…
…000000110011111111100
320002001212002222011201210
4120332112200012133330
5211104303014324412
63352230313204420
7234664312240326
oct30762640063774
96061762864653
101716216948732
116019307a9160
12238745700710
13c5ab942b620
145d0cb434616
152e9993ba83c
hex18f968067fc

1716216948732 has 192 divisors, whose sum is σ = 4981874688000. Its totient is φ = 452069579520.

The previous prime is 1716216948701. The next prime is 1716216948773. The reversal of 1716216948732 is 2378496126171.

It is a super-2 number, since 2×17162169487322 (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 an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5287269 + ... + 5602467.

It is an arithmetic number, because the mean of its divisors is an integer number (25947264000).

Almost surely, 21716216948732 is an apocalyptic number.

1716216948732 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 1716216948732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2490937344000).

1716216948732 is an abundant number, since it is smaller than the sum of its proper divisors (3265657739268).

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

1716216948732 is a wasteful number, since it uses less digits than its factorization.

1716216948732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315416 (or 315414 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 57.

The spelling of 1716216948732 in words is "one trillion, seven hundred sixteen billion, two hundred sixteen million, nine hundred forty-eight thousand, seven hundred thirty-two".