Search a number
-
+
672094194240 = 26357891995647
BaseRepresentation
bin10011100011110111110…
…11111000101001000000
32101020210101210120210110
421301323323320221000
542002422103203430
61232431131031320
766362056251150
oct11617373705100
92336711716713
10672094194240
1123a040718807
12aa30ab9b540
134b4bbc0c241
142475b074760
151273924a7b0
hex9c7bef8a40

672094194240 has 448 divisors, whose sum is σ = 2478974976000. Its totient is φ = 151105388544.

The previous prime is 672094194209. The next prime is 672094194241. The reversal of 672094194240 is 42491490276.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×6720941942402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 672094194240.

It is not an unprimeable number, because it can be changed into a prime (672094194241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 119015097 + ... + 119020743.

Almost surely, 2672094194240 is an apocalyptic number.

672094194240 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 672094194240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1239487488000).

672094194240 is an abundant number, since it is smaller than the sum of its proper divisors (1806880781760).

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

672094194240 is a wasteful number, since it uses less digits than its factorization.

672094194240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5962 (or 5952 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 672094194240 in words is "six hundred seventy-two billion, ninety-four million, one hundred ninety-four thousand, two hundred forty".