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672613881400 = 2352192314275393
BaseRepresentation
bin10011100100110101110…
…10010101011000111000
32101022010121200102120001
421302122322111120320
542010003123201100
61232554453442344
766410666442106
oct11623272253070
92338117612501
10672613881400
1123a28800142a
12aa4350403b4
134b572798236
14247aa0b2c76
1512769ba1d6a
hex9c9ae95638

672613881400 has 192 divisors, whose sum is σ = 1719227462400. Its totient is φ = 243587266560.

The previous prime is 672613881383. The next prime is 672613881413. The reversal of 672613881400 is 4188316276.

It is a happy number.

672613881400 is digitally balanced in base 2, 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 (46).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 124717104 + ... + 124722496.

It is an arithmetic number, because the mean of its divisors is an integer number (8954309700).

Almost surely, 2672613881400 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 672613881400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (859613731200).

672613881400 is an abundant number, since it is smaller than the sum of its proper divisors (1046613581000).

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

672613881400 is a wasteful number, since it uses less digits than its factorization.

672613881400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6878 (or 6869 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 46.

The spelling of 672613881400 in words is "six hundred seventy-two billion, six hundred thirteen million, eight hundred eighty-one thousand, four hundred".