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73079390224 = 2419235572
BaseRepresentation
bin100010000001111011…
…1110000000000010000
320222122000202200010101
41010003313300000100
52144131310441344
653323332542144
75164655365501
oct1040367600020
9228560680111
1073079390224
1128aa1457575
12121b6181954
136b78407849
1437739a6ba8
151d7ab379d4
hex1103df0010

73079390224 has 45 divisors (see below), whose sum is σ = 149477736477. Its totient is φ = 34606821312.

The previous prime is 73079390183. The next prime is 73079390227. The reversal of 73079390224 is 42209397037.

It is a happy number.

The square root of 73079390224 is 270332.

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

It can be written as a sum of positive squares in only one way, i.e., 8952944400 + 64126445824 = 94620^2 + 253232^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (73079390227) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 20543454 + ... + 20547010.

Almost surely, 273079390224 is an apocalyptic number.

73079390224 is the 270332-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73079390224

73079390224 is an abundant number, since it is smaller than the sum of its proper divisors (76398346253).

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

73079390224 is an frugal number, since it uses more digits than its factorization.

73079390224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7160 (or 3578 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 46.

The spelling of 73079390224 in words is "seventy-three billion, seventy-nine million, three hundred ninety thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 19 38 76 152 304 361 722 1444 2888 3557 5776 7114 14228 28456 56912 67583 135166 270332 540664 1081328 1284077 2568154 5136308 10272616 12652249 20545232 25304498 50608996 101217992 202435984 240392731 480785462 961570924 1923141848 3846283696 4567461889 9134923778 18269847556 36539695112 73079390224