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671321891149056 = 283272173181113913
BaseRepresentation
bin1001100010100100000100111…
…0110110100001010100000000
310021000221202010211220222210100
42120221001032312201110000
51200442414213113232211
610335441004055002400
7261255256166265600
oct23051011666412400
93230852124828710
10671321891149056
111849a4019256584
126336281b069400
1322a784c8a3a6a4
14bbac21d7a6c00
1552929528b5156
hex262904eda1500

671321891149056 has 1296 divisors, whose sum is σ = 2464164064147968. Its totient is φ = 174472239513600.

The previous prime is 671321891149037. The next prime is 671321891149097. The reversal of 671321891149056 is 650941198123176.

671321891149056 is a `hidden beast` number, since 6 + 7 + 1 + 3 + 2 + 1 + 8 + 91 + 1 + 490 + 56 = 666.

It is a super-2 number, since 2×6713218911490562 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 671321891148984 and 671321891149002.

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, 48251404756 + ... + 48251418668.

It is an arithmetic number, because the mean of its divisors is an integer number (1901361160608).

It is a 1-persistent number, because it is pandigital, but 2⋅671321891149056 = 1342643782298112 is not.

Almost surely, 2671321891149056 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 671321891149056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1232082032073984).

671321891149056 is an abundant number, since it is smaller than the sum of its proper divisors (1792842172998912).

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

671321891149056 is a wasteful number, since it uses less digits than its factorization.

671321891149056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14808 (or 14784 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The spelling of 671321891149056 in words is "six hundred seventy-one trillion, three hundred twenty-one billion, eight hundred ninety-one million, one hundred forty-nine thousand, fifty-six".