Search a number
-
+
1676134828368 = 24327211134993329
BaseRepresentation
bin11000011001000001011…
…010111100100101010000
312221020101201101111021100
4120121001122330211100
5204430211004001433
63322001122224400
7232045116652500
oct30310132744520
95836351344240
101676134828368
11596932460950
12230a1a1b5100
13c209c355840
145b1a7daba00
152d9005b1b13
hex186416bc950

1676134828368 has 720 divisors, whose sum is σ = 6425448120000. Its totient is φ = 400944660480.

The previous prime is 1676134828363. The next prime is 1676134828369. The reversal of 1676134828368 is 8638284316761.

1676134828368 is a `hidden beast` number, since 1 + 6 + 7 + 6 + 1 + 348 + 283 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1676134828363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 503493328 + ... + 503496656.

It is an arithmetic number, because the mean of its divisors is an integer number (8924233500).

Almost surely, 21676134828368 is an apocalyptic number.

1676134828368 is a gapful number since it is divisible by the number (18) 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 1676134828368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3212724060000).

1676134828368 is an abundant number, since it is smaller than the sum of its proper divisors (4749313291632).

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

1676134828368 is a wasteful number, since it uses less digits than its factorization.

1676134828368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3880 (or 3864 counting only the distinct ones).

The product of its digits is 55738368, while the sum is 63.

The spelling of 1676134828368 in words is "one trillion, six hundred seventy-six billion, one hundred thirty-four million, eight hundred twenty-eight thousand, three hundred sixty-eight".