Search a number
-
+
1663672689630 = 23257217792571093
BaseRepresentation
bin11000001101011010100…
…111101010001111011110
312220001020012200020202100
4120031122213222033132
5204224200202032010
63312140343305530
7231124234351500
oct30153247521736
95801205606670
101663672689630
11591617952636
1222a52074b2a6
13c0b64534153
145a744c51d70
152d4214a62c0
hex1835a9ea3de

1663672689630 has 576 divisors, whose sum is σ = 5421135133440. Its totient is φ = 351671943168.

The previous prime is 1663672689619. The next prime is 1663672689733. The reversal of 1663672689630 is 369862763661.

It is a happy number.

1663672689630 is a `hidden beast` number, since 1 + 6 + 6 + 367 + 268 + 9 + 6 + 3 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1522115364 + ... + 1522116456.

It is an arithmetic number, because the mean of its divisors is an integer number (9411692940).

Almost surely, 21663672689630 is an apocalyptic number.

1663672689630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1663672689630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2710567566720).

1663672689630 is an abundant number, since it is smaller than the sum of its proper divisors (3757462443810).

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

1663672689630 is a wasteful number, since it uses less digits than its factorization.

1663672689630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1473 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 70543872, while the sum is 63.

The spelling of 1663672689630 in words is "one trillion, six hundred sixty-three billion, six hundred seventy-two million, six hundred eighty-nine thousand, six hundred thirty".