Search a number
-
+
70164063225 = 3252176592
BaseRepresentation
bin100000101011000011…
…0101010001111111001
320201002212001201022100
41001112012222033321
52122144000010400
652122151214013
75032505461044
oct1012606521771
9221085051270
1070164063225
112783586a213
1211721977309
13680242b699
143578721c5b
151c59c1c100
hex10561aa3f9

70164063225 has 27 divisors (see below), whose sum is σ = 125678750223. Its totient is φ = 37418714640.

The previous prime is 70164063173. The next prime is 70164063247. The reversal of 70164063225 is 52236046107.

The square root of 70164063225 is 264885.

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

70164063225 is a `hidden beast` number, since 7 + 0 + 1 + 640 + 6 + 3 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 25259062761 + 44905000464 = 158931^2 + 211908^2 .

It is not a de Polignac number, because 70164063225 - 29 = 70164062713 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 70164063225.

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, 3964446 + ... + 3982104.

Almost surely, 270164063225 is an apocalyptic number.

70164063225 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

70164063225 is the 264885-th square number.

70164063225 is the 132443-rd centered octagonal number.

It is an amenable number.

70164063225 is a deficient number, since it is larger than the sum of its proper divisors (55514686998).

70164063225 is an frugal number, since it uses more digits than its factorization.

70164063225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35334 (or 17667 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

Multiplying 70164063225 by its sum of digits (36), we get a square (2525906276100 = 15893102).

The spelling of 70164063225 in words is "seventy billion, one hundred sixty-four million, sixty-three thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 17659 52977 88295 158931 264885 441475 794655 1324425 3973275 311840281 935520843 1559201405 2806562529 4677604215 7796007025 14032812645 23388021075 70164063225