Search a number
-
+
701297379225 = 3252558292
BaseRepresentation
bin10100011010010001001…
…01001100011110011001
32111001011121202002110100
422031020211030132121
542442224112113400
61254101020410013
7101444542240152
oct12151045143631
92431147662410
10701297379225
112504670a6933
12b3abb0a6909
1351194198061
1425d2b742929
1513397e2b100
hexa34894c799

701297379225 has 27 divisors (see below), whose sum is σ = 1256124027613. Its totient is φ = 374018569440.

The previous prime is 701297379199. The next prime is 701297379229. The reversal of 701297379225 is 522973792107.

It is a happy number.

The square root of 701297379225 is 837435.

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

It can be written as a sum of positive squares in 4 ways, for example, as 31008040281 + 670289338944 = 176091^2 + 818712^2 .

It is not a de Polignac number, because 701297379225 - 29 = 701297378713 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (701297379229) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 12533611 + ... + 12589439.

Almost surely, 2701297379225 is an apocalyptic number.

701297379225 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

701297379225 is the 837435-th square number.

701297379225 is the 418718-th centered octagonal number.

It is an amenable number.

701297379225 is a deficient number, since it is larger than the sum of its proper divisors (554826648388).

701297379225 is an frugal number, since it uses more digits than its factorization.

701297379225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111674 (or 55837 counting only the distinct ones).

The product of its (nonzero) digits is 3333960, while the sum is 54.

The spelling of 701297379225 in words is "seven hundred one billion, two hundred ninety-seven million, three hundred seventy-nine thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 55829 167487 279145 502461 837435 1395725 2512305 4187175 12561525 3116877241 9350631723 15584386205 28051895169 46753158615 77921931025 140259475845 233765793075 701297379225