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673212045025 = 521349712
BaseRepresentation
bin10011100101111101001…
…00001001011011100001
32101100200022020021210101
421302332210021123201
542012214240420100
61233134102302401
766431551652302
oct11627644113341
92340608207711
10673212045025
1123a564715633
12aa581427a01
134b6396a0000
14248256dc7a9
15127a245a86a
hex9cbe9096e1

673212045025 has 45 divisors (see below), whose sum is σ = 905278059023. Its totient is φ = 496629213600.

The previous prime is 673212044987. The next prime is 673212045031. The reversal of 673212045025 is 520540212376.

The square root of 673212045025 is 820495.

It is a perfect power (a square), and thus also a powerful number.

673212045025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 7 ways, for example, as 660525176529 + 12686868496 = 812727^2 + 112636^2 .

It is not a de Polignac number, because 673212045025 - 211 = 673212042977 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 693317790 + ... + 693318760.

Almost surely, 2673212045025 is an apocalyptic number.

673212045025 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

673212045025 is the 820495-th square number.

673212045025 is the 410248-th centered octagonal number.

It is an amenable number.

673212045025 is a deficient number, since it is larger than the sum of its proper divisors (232066013998).

673212045025 is an frugal number, since it uses more digits than its factorization.

673212045025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2004 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 37.

The spelling of 673212045025 in words is "six hundred seventy-three billion, two hundred twelve million, forty-five thousand, twenty-five".

Divisors: 1 5 13 25 65 169 325 845 971 2197 4225 4855 10985 12623 24275 28561 54925 63115 142805 164099 315575 714025 820495 942841 2133287 4102475 4714205 10666435 12256933 23571025 27732731 53332175 61284665 138663655 159340129 306423325 693318275 796700645 2071421677 3983503225 10357108385 26928481801 51785541925 134642409005 673212045025