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73221654025 = 521322321812
BaseRepresentation
bin100010000110001011…
…0011100011000001001
320222222221110102101001
41010030112130120021
52144424220412100
653345414055001
75201333534662
oct1041426343011
9228887412331
1073221654025
1129064795463
121223594a461
136b9ba28400
14378883a369
151d88389d6a
hex110c59c609

73221654025 has 81 divisors (see below), whose sum is σ = 103347758367. Its totient is φ = 51434697600.

The previous prime is 73221654019. The next prime is 73221654047. The reversal of 73221654025 is 52045612237.

The square root of 73221654025 is 270595.

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

It can be written as a sum of positive squares in 13 ways, for example, as 60644480121 + 12577173904 = 246261^2 + 112148^2 .

It is not a de Polignac number, because 73221654025 - 215 = 73221621257 is a prime.

It is a super-2 number, since 2×732216540252 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 404539435 + ... + 404539615.

Almost surely, 273221654025 is an apocalyptic number.

73221654025 is the 270595-th square number.

73221654025 is the 135298-th centered octagonal number.

It is an amenable number.

73221654025 is a deficient number, since it is larger than the sum of its proper divisors (30126104342).

73221654025 is a wasteful number, since it uses less digits than its factorization.

73221654025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 222 counting only the distinct ones).

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

The spelling of 73221654025 in words is "seventy-three billion, two hundred twenty-one million, six hundred fifty-four thousand, twenty-five".

Divisors: 1 5 13 23 25 65 115 169 181 299 325 529 575 845 905 1495 2353 2645 3887 4163 4225 4525 6877 7475 11765 13225 19435 20815 30589 32761 34385 54119 58825 89401 95749 97175 104075 152945 163805 171925 270595 425893 447005 478745 703547 753503 764725 819025 1244737 1352975 2129465 2235025 2393725 3517735 3767515 5536609 6223685 9795539 10647325 16181581 17330569 17588675 18837575 27683045 31118425 48977695 80907905 86652845 127342007 138415225 225297397 244888475 404539525 433264225 636710035 1126486985 2928866161 3183550175 5632434925 14644330805 73221654025