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73758412225 = 5229218732
BaseRepresentation
bin100010010110001011…
…0000000110111000001
321001101100110120012101
41010230112000313001
52202024123142400
653514550430401
75220542105461
oct1045426006701
9231340416171
1073758412225
112930a778883
1212365662401
136c55cb0604
1437d9c3dba1
151dba56456a
hex112c580dc1

73758412225 has 27 divisors (see below), whose sum is σ = 94773591003. Its totient is φ = 56941597440.

The previous prime is 73758412219. The next prime is 73758412303. The reversal of 73758412225 is 52221485737.

The square root of 73758412225 is 271585.

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 73602062209 + 156350016 = 271297^2 + 12504^2 .

It is not a de Polignac number, because 73758412225 - 217 = 73758281153 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 39378889 + ... + 39380761.

Almost surely, 273758412225 is an apocalyptic number.

73758412225 is the 271585-th square number.

73758412225 is the 135793-rd centered octagonal number.

It is an amenable number.

73758412225 is a deficient number, since it is larger than the sum of its proper divisors (21015178778).

73758412225 is an frugal number, since it uses more digits than its factorization.

73758412225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3814 (or 1907 counting only the distinct ones).

The product of its digits is 940800, while the sum is 46.

The spelling of 73758412225 in words is "seventy-three billion, seven hundred fifty-eight million, four hundred twelve thousand, two hundred twenty-five".

Divisors: 1 5 25 29 145 725 841 1873 4205 9365 21025 46825 54317 271585 1357925 1575193 3508129 7875965 17540645 39379825 87703225 101735741 508678705 2543393525 2950336489 14751682445 73758412225