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70450430625 = 325435392
BaseRepresentation
bin100000110011100101…
…1000100001010100001
320201211210220200112100
41001213023010022201
52123240302240000
652210421121013
75042553531321
oct1014713041241
9221753820470
1070450430625
1127972482293
12117a1859169
136849865353
1435a4787281
151c74e36a00
hex10672c42a1

70450430625 has 45 divisors (see below), whose sum is σ = 127197403333. Its totient is φ = 37562946000.

The previous prime is 70450430599. The next prime is 70450430629. The reversal of 70450430625 is 52603405407.

The square root of 70450430625 is 265425.

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

It can be written as a sum of positive squares in 2 ways, for example, as 5523313761 + 64927116864 = 74319^2 + 254808^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 70450430625 - 213 = 70450422433 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 70450430625.

It is not an unprimeable number, because it can be changed into a prime (70450430629) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 19905106 + ... + 19908644.

Almost surely, 270450430625 is an apocalyptic number.

70450430625 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

70450430625 is the 265425-th square number.

70450430625 is the 132713-rd centered octagonal number.

It is an amenable number.

70450430625 is a deficient number, since it is larger than the sum of its proper divisors (56746972708).

70450430625 is an frugal number, since it uses more digits than its factorization.

70450430625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7104 (or 3547 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

Multiplying 70450430625 by its sum of digits (36), we get a square (2536215502500 = 15925502).

The spelling of 70450430625 in words is "seventy billion, four hundred fifty million, four hundred thirty thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 375 625 1125 1875 3539 5625 10617 17695 31851 53085 88475 159255 265425 442375 796275 1327125 2211875 3981375 6635625 12524521 19906875 37573563 62622605 112720689 187867815 313113025 563603445 939339075 1565565125 2818017225 4696695375 7827825625 14090086125 23483476875 70450430625