Search a number
-
+
70106300676 = 22322967151629
BaseRepresentation
bin100000101001010101…
…0010100000100000100
320200221211101001222200
41001102222110010010
52122034203110201
652112325154500
75031204503106
oct1012252240404
9220854331880
1070106300676
11278061a7375
121170655ba30
1367c3485c69
143570ba7576
151c54b0c386
hex1052a94104

70106300676 has 36 divisors (see below), whose sum is σ = 183323949900. Its totient is φ = 22562947008.

The previous prime is 70106300653. The next prime is 70106300711. The reversal of 70106300676 is 67600360107.

70106300676 is a `hidden beast` number, since 7 + 0 + 10 + 630 + 0 + 6 + 7 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 53627443776 + 16478856900 = 231576^2 + 128370^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 70106300676.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33574771 + ... + 33576858.

Almost surely, 270106300676 is an apocalyptic number.

It is an amenable number.

70106300676 is an abundant number, since it is smaller than the sum of its proper divisors (113217649224).

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

70106300676 is a wasteful number, since it uses less digits than its factorization.

70106300676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67151668 (or 67151663 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The spelling of 70106300676 in words is "seventy billion, one hundred six million, three hundred thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 67151629 134303258 201454887 268606516 402909774 604364661 805819548 1208729322 1947397241 2417458644 3894794482 5842191723 7789588964 11684383446 17526575169 23368766892 35053150338 70106300676