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672517894560 = 253528331115919
BaseRepresentation
bin10011100100101010011…
…00001011000110100000
32101021212221001210100220
421302111030023012200
542004304040111220
61232541144243040
766405422533101
oct11622514130640
92337787053326
10672517894560
1123a238901066
12aa408a70480
134b55892b2a5
142479b4483a8
1512761541540
hex9c9530b1a0

672517894560 has 192 divisors, whose sum is σ = 2132886712320. Its totient is φ = 178118599680.

The previous prime is 672517894553. The next prime is 672517894691. The reversal of 672517894560 is 65498715276.

It is a happy number.

672517894560 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 672517894494 and 672517894503.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42238281 + ... + 42254199.

It is an arithmetic number, because the mean of its divisors is an integer number (11108784960).

Almost surely, 2672517894560 is an apocalyptic number.

672517894560 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 672517894560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1066443356160).

672517894560 is an abundant number, since it is smaller than the sum of its proper divisors (1460368817760).

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

672517894560 is a wasteful number, since it uses less digits than its factorization.

672517894560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16531 (or 16523 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 60.

The spelling of 672517894560 in words is "six hundred seventy-two billion, five hundred seventeen million, eight hundred ninety-four thousand, five hundred sixty".