Search a number
-
+
881421168960 = 263351923436189
BaseRepresentation
bin11001101001110001100…
…10111011000101000000
310010021002202102200022000
430310320302323011000
5103420122304401320
61512530322344000
7120452303214243
oct14647062730500
93107082380260
10881421168960
1130a8992a9082
121229aa1bb000
136516b662467
1430937b6325a
1517ddb437c90
hexcd38cbb140

881421168960 has 1792 divisors, whose sum is σ = 3592055808000. Its totient is φ = 202330275840.

The previous prime is 881421168911. The next prime is 881421168989. The reversal of 881421168960 is 69861124188.

It is a happy number.

881421168960 is a `hidden beast` number, since 8 + 81 + 421 + 1 + 6 + 89 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 881421168897 and 881421168906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 9903608596 + ... + 9903608684.

Almost surely, 2881421168960 is an apocalyptic number.

881421168960 is a gapful number since it is divisible by the number (80) 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 881421168960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1796027904000).

881421168960 is an abundant number, since it is smaller than the sum of its proper divisors (2710634639040).

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

881421168960 is a wasteful number, since it uses less digits than its factorization.

881421168960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The spelling of 881421168960 in words is "eight hundred eighty-one billion, four hundred twenty-one million, one hundred sixty-eight thousand, nine hundred sixty".