Search a number
-
+
673157422080 = 2103251121337251
BaseRepresentation
bin10011100101110110100…
…11110001110000000000
32101100112111110011012100
421302323103301300000
542012111300001310
61233124431430400
766430316451603
oct11627323616000
92340474404170
10673157422080
1123a5368a7600
12aa567085400
134b62b286640
142481c36033a
151279c76aec0
hex9cbb4f1c00

673157422080 has 1584 divisors, whose sum is σ = 2846926528992. Its totient is φ = 145981440000.

The previous prime is 673157422051. The next prime is 673157422097. The reversal of 673157422080 is 80224751376.

673157422080 is a `hidden beast` number, since 6 + 73 + 1 + 574 + 2 + 2 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2681901955 + ... + 2681902205.

Almost surely, 2673157422080 is an apocalyptic number.

673157422080 is a gapful number since it is divisible by the number (60) 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 673157422080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1423463264496).

673157422080 is an abundant number, since it is smaller than the sum of its proper divisors (2173769106912).

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

673157422080 is a wasteful number, since it uses less digits than its factorization.

673157422080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 673157422080 in words is "six hundred seventy-three billion, one hundred fifty-seven million, four hundred twenty-two thousand, eighty".