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73108048225 = 5217231812
BaseRepresentation
bin100010000010110010…
…1000100100101100001
320222201000200122111211
41010011211010211201
52144211130020400
653330235110121
75165454104512
oct1040545044541
9228630618454
1073108048225
1129006650773
12122038a2341
136b8132ca44
143777706a09
151d7d3e8dba
hex1105944961

73108048225 has 27 divisors (see below), whose sum is σ = 96330531531. Its totient is φ = 55028755200.

The previous prime is 73108048219. The next prime is 73108048231. The reversal of 73108048225 is 52284080137.

It is a happy number.

The square root of 73108048225 is 270385.

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

It is an interprime number because it is at equal distance from previous prime (73108048219) and next prime (73108048231).

It can be written as a sum of positive squares in 13 ways, for example, as 60389622049 + 12718426176 = 245743^2 + 112776^2 .

It is not a de Polignac number, because 73108048225 - 211 = 73108046177 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 22981135 + ... + 22984315.

Almost surely, 273108048225 is an apocalyptic number.

73108048225 is the 270385-th square number.

73108048225 is the 135193-rd centered octagonal number.

It is an amenable number.

73108048225 is a deficient number, since it is larger than the sum of its proper divisors (23222483306).

73108048225 is an frugal number, since it uses more digits than its factorization.

73108048225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6406 (or 3203 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 40.

The spelling of 73108048225 in words is "seventy-three billion, one hundred eight million, forty-eight thousand, two hundred twenty-five".

Divisors: 1 5 17 25 85 289 425 1445 3181 7225 15905 54077 79525 270385 919309 1351925 4596545 10118761 22982725 50593805 172018937 252969025 860094685 2924321929 4300473425 14621609645 73108048225