Search a number
-
+
421176622968 = 233347307337401
BaseRepresentation
bin1100010000100000001…
…01010011111101111000
31111021010112010021112000
412020100011103331320
523400032203413333
6521252540421000
742300102140403
oct6102005237570
91437115107460
10421176622968
111526902506a2
1269763247760
1330941a13b8a
1416556850d3a
15ae50ad3713
hex6210153f78

421176622968 has 256 divisors, whose sum is σ = 1205274470400. Its totient is φ = 136210636800.

The previous prime is 421176622949. The next prime is 421176622991. The reversal of 421176622968 is 869226671124.

421176622968 is a `hidden beast` number, since 4 + 2 + 1 + 1 + 7 + 6 + 622 + 9 + 6 + 8 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1050315568 + ... + 1050315968.

It is an arithmetic number, because the mean of its divisors is an integer number (4708103400).

Almost surely, 2421176622968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 421176622968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602637235200).

421176622968 is an abundant number, since it is smaller than the sum of its proper divisors (784097847432).

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

421176622968 is a wasteful number, since it uses less digits than its factorization.

421176622968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107 (or 1097 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The spelling of 421176622968 in words is "four hundred twenty-one billion, one hundred seventy-six million, six hundred twenty-two thousand, nine hundred sixty-eight".