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725089716484 = 227486892
BaseRepresentation
bin10101000110100101011…
…01110000100100000100
32120022120202020001102121
422203102231300210010
543334440431411414
61313033541015324
7103246253620000
oct12432255604404
92508522201377
10725089716484
1125a566272a81
12b863b0b4544
13534b6456323
1427147563700
1513cdba9c724
hexa8d2b70904

725089716484 has 45 divisors (see below), whose sum is σ = 1480473807477. Its totient is φ = 310716971712.

The previous prime is 725089716367. The next prime is 725089716493. The reversal of 725089716484 is 484617980527.

The square root of 725089716484 is 851522.

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., 651930286084 + 73159430400 = 807422^2 + 270480^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 83444812 + ... + 83453500.

Almost surely, 2725089716484 is an apocalyptic number.

725089716484 is the 851522-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 725089716484

725089716484 is an abundant number, since it is smaller than the sum of its proper divisors (755384090993).

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

725089716484 is an frugal number, since it uses more digits than its factorization.

725089716484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17410 (or 8698 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 61.

The spelling of 725089716484 in words is "seven hundred twenty-five billion, eighty-nine million, seven hundred sixteen thousand, four hundred eighty-four".

Divisors: 1 2 4 7 14 28 49 98 196 343 686 1372 2401 4802 8689 9604 17378 34756 60823 121646 243292 425761 851522 1703044 2980327 5960654 11921308 20862289 41724578 75498721 83449156 150997442 301994884 528491047 1056982094 2113964188 3699437329 7398874658 14797749316 25896061303 51792122606 103584245212 181272429121 362544858242 725089716484