Search a number
-
+
4129604644 = 221122321272
BaseRepresentation
bin1111011000100100…
…1100010000100100
3101122210120122121011
43312021030100210
531424134322034
61521435432004
7204223026454
oct36611142044
911583518534
104129604644
11182a066100
12972bb5604
1350a72c259
142b264dd64
15192826864
hexf624c424

4129604644 has 81 divisors (see below), whose sum is σ = 8369802651. Its totient is φ = 1781342640.

The previous prime is 4129604639. The next prime is 4129604707. The reversal of 4129604644 is 4464069214.

The square root of 4129604644 is 64262.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4129604597 and 4129604606.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 32516509 + ... + 32516635.

Almost surely, 24129604644 is an apocalyptic number.

4129604644 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

4129604644 is the 64262-nd square number.

It is an amenable number.

4129604644 is an abundant number, since it is smaller than the sum of its proper divisors (4240198007).

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

4129604644 is a wasteful number, since it uses less digits than its factorization.

4129604644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 40.

The cubic root of 4129604644 is about 1604.3636927342.

The spelling of 4129604644 in words is "four billion, one hundred twenty-nine million, six hundred four thousand, six hundred forty-four".

Divisors: 1 2 4 11 22 23 44 46 92 121 127 242 253 254 484 506 508 529 1012 1058 1397 2116 2783 2794 2921 5566 5588 5819 5842 11132 11638 11684 15367 16129 23276 30734 32131 32258 61468 64009 64262 64516 67183 128018 128524 134366 177419 256036 268732 353441 354838 370967 706882 709676 739013 741934 1413764 1478026 1483868 1951609 2956052 3903218 4080637 7806436 8129143 8161274 8532241 16258286 16322548 17064482 32516572 34128964 44887007 89774014 93854651 179548028 187709302 375418604 1032401161 2064802322 4129604644