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672526513344 = 263747103910247
BaseRepresentation
bin10011100100101011011…
…01000011010011000000
32101021220112021200010010
421302111231003103000
542004313241411334
61232542053104520
766405556020540
oct11622555032300
92337815250103
10672526513344
1123a242758524
12aa40b928140
134b55a65826a
142479c64d320
15127621950e9
hex9c95b434c0

672526513344 has 224 divisors, whose sum is σ = 2079061770240. Its totient is φ = 187862787072.

The previous prime is 672526513343. The next prime is 672526513357. The reversal of 672526513344 is 443315625276.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×6725265133442 (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 junction number, because it is equal to n+sod(n) for n = 672526513293 and 672526513302.

It is not an unprimeable number, because it can be changed into a prime (672526513343) by changing a digit.

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, 65626429 + ... + 65636675.

It is an arithmetic number, because the mean of its divisors is an integer number (9281525760).

Almost surely, 2672526513344 is an apocalyptic number.

672526513344 is a gapful number since it is divisible by the number (64) 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 672526513344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1039530885120).

672526513344 is an abundant number, since it is smaller than the sum of its proper divisors (1406535256896).

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

672526513344 is a wasteful number, since it uses less digits than its factorization.

672526513344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11355 (or 11345 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 48.

The spelling of 672526513344 in words is "six hundred seventy-two billion, five hundred twenty-six million, five hundred thirteen thousand, three hundred forty-four".