Search a number
-
+
4212777696 = 253478271129
BaseRepresentation
bin1111101100011001…
…1110001011100000
3101212121002021120120
43323012132023200
532111432341241
61534010240240
7206253006501
oct37306361340
911777067516
104212777696
111872004266
12996a26080
13521a3098a
142bd700ba8
15199ca5666
hexfb19e2e0

4212777696 has 96 divisors (see below), whose sum is σ = 11317501440. Its totient is φ = 1371503616.

The previous prime is 4212777691. The next prime is 4212777707. The reversal of 4212777696 is 6967772124.

It is a tau number, because it is divible by the number of its divisors (96).

Its product of digits (1778112) is a multiple of the sum of its prime factors (2016).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4212777691) 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 15 ways as a sum of consecutive naturals, for example, 3730860 + ... + 3731988.

It is an arithmetic number, because the mean of its divisors is an integer number (117890640).

Almost surely, 24212777696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4212777696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5658750720).

4212777696 is an abundant number, since it is smaller than the sum of its proper divisors (7104723744).

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

4212777696 is a wasteful number, since it uses less digits than its factorization.

4212777696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2016 (or 2008 counting only the distinct ones).

The product of its digits is 1778112, while the sum is 51.

The square root of 4212777696 is about 64905.9141835318. The cubic root of 4212777696 is about 1615.0631721656.

The spelling of 4212777696 in words is "four billion, two hundred twelve million, seven hundred seventy-seven thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 188 282 376 564 752 827 1128 1129 1504 1654 2256 2258 2481 3308 3387 4512 4516 4962 6616 6774 9032 9924 13232 13548 18064 19848 26464 27096 36128 38869 39696 53063 54192 77738 79392 106126 108384 116607 155476 159189 212252 233214 310952 318378 424504 466428 621904 636756 849008 932856 933683 1243808 1273512 1698016 1865712 1867366 2547024 2801049 3731424 3734732 5094048 5602098 7469464 11204196 14938928 22408392 29877856 43883101 44816784 87766202 89633568 131649303 175532404 263298606 351064808 526597212 702129616 1053194424 1404259232 2106388848 4212777696