Search a number
-
+
19773231072 = 25373677887
BaseRepresentation
bin10010011010100100…
…111000111111100000
31220001000211012202120
4102122210320333200
5310443421343242
613030024544240
71266666456000
oct223244707740
956030735676
1019773231072
118427523191
1239ba022080
131b3170a23a
14d58136000
157aadc51ec
hex49a938fe0

19773231072 has 192 divisors, whose sum is σ = 60688051200. Its totient is φ = 5634789888.

The previous prime is 19773231061. The next prime is 19773231083. The reversal of 19773231072 is 27013237791.

It is an interprime number because it is at equal distance from previous prime (19773231061) and next prime (19773231083).

It is a Harshad number since it is a multiple of its sum of digits (42).

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 31 ways as a sum of consecutive naturals, for example, 22291813 + ... + 22292699.

It is an arithmetic number, because the mean of its divisors is an integer number (316083600).

Almost surely, 219773231072 is an apocalyptic number.

19773231072 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 19773231072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30344025600).

19773231072 is an abundant number, since it is smaller than the sum of its proper divisors (40914820128).

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

19773231072 is an equidigital number, since it uses as much as digits as its factorization.

19773231072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1598 (or 1576 counting only the distinct ones).

The product of its (nonzero) digits is 111132, while the sum is 42.

The spelling of 19773231072 in words is "nineteen billion, seven hundred seventy-three million, two hundred thirty-one thousand, seventy-two".