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5035179681 = 32723121092
BaseRepresentation
bin1001011000001111…
…01011111010100001
3110222220120122000100
410230013223322201
540303001222211
62151345213013
7235530215100
oct45407537241
913886518010
105035179681
112154256024
12b86331169
1362322837c
1435aa1c037
151e70a5156
hex12c1ebea1

5035179681 has 81 divisors (see below), whose sum is σ = 8823133683. Its totient is φ = 2758885920.

The previous prime is 5035179679. The next prime is 5035179691. The reversal of 5035179681 is 1869715305.

It is a happy number.

The square root of 5035179681 is 70959.

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

5035179681 is a `hidden beast` number, since 50 + 3 + 517 + 9 + 6 + 81 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3509496081 + 1525683600 = 59241^2 + 39060^2 .

It is not a de Polignac number, because 5035179681 - 21 = 5035179679 is a prime.

It is a super-2 number, since 2×50351796812 = 50706068839910523522, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5035179601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 46194255 + ... + 46194363.

Almost surely, 25035179681 is an apocalyptic number.

5035179681 is the 70959-th square number.

5035179681 is the 35480-th centered octagonal number.

It is an amenable number.

5035179681 is a deficient number, since it is larger than the sum of its proper divisors (3787954002).

5035179681 is a wasteful number, since it uses less digits than its factorization.

5035179681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The cubic root of 5035179681 is about 1713.9770047887.

The spelling of 5035179681 in words is "five billion, thirty-five million, one hundred seventy-nine thousand, six hundred eighty-one".

Divisors: 1 3 7 9 21 31 49 63 93 109 147 217 279 327 441 651 763 961 981 1519 1953 2289 2883 3379 4557 5341 6727 6867 8649 10137 11881 13671 16023 20181 23653 30411 35643 47089 48069 60543 70959 83167 104749 106929 141267 165571 212877 249501 314247 368311 423801 496713 582169 733243 748503 942741 1104933 1490139 1746507 2199729 2578177 3314799 5132701 5239521 6599187 7734531 11417641 15398103 18047239 23203593 34252923 46194309 54141717 79923487 102758769 162425151 239770461 559464409 719311383 1678393227 5035179681