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73525034025 = 3252180772
BaseRepresentation
bin100010001111001101…
…1101111110000101001
321000210002022201111100
41010132123233300221
52201034402042100
653435452352013
75212006322532
oct1043633576051
9230702281440
1073525034025
11291aaa68333
12122bb475609
136c1983a7c1
1437b6c4d689
151da4d15400
hex111e6efc29

73525034025 has 27 divisors (see below), whose sum is σ = 131698790821. Its totient is φ = 39211182240.

The previous prime is 73525033993. The next prime is 73525034101. The reversal of 73525034025 is 52043052537.

The square root of 73525034025 is 271155.

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

73525034025 is a `hidden beast` number, since 73 + 525 + 0 + 3 + 40 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15659769321 + 57865264704 = 125139^2 + 240552^2 .

It is not a de Polignac number, because 73525034025 - 25 = 73525033993 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, 4058287 + ... + 4076363.

Almost surely, 273525034025 is an apocalyptic number.

73525034025 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

73525034025 is the 271155-th square number.

73525034025 is the 135578-th centered octagonal number.

It is an amenable number.

73525034025 is a deficient number, since it is larger than the sum of its proper divisors (58173756796).

73525034025 is an frugal number, since it uses more digits than its factorization.

73525034025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36170 (or 18085 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 36.

Multiplying 73525034025 by its sum of digits (36), we get a square (2646901224900 = 16269302).

The spelling of 73525034025 in words is "seventy-three billion, five hundred twenty-five million, thirty-four thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 18077 54231 90385 162693 271155 451925 813465 1355775 4067325 326777929 980333787 1633889645 2941001361 4901668935 8169448225 14705006805 24508344675 73525034025