Search a number
-
+
838474156668 = 22319231571018421
BaseRepresentation
bin11000011001110001111…
…01000100101001111100
32222011020201001101221010
430030320331010221330
5102214143341003133
61441104551035220
7114402112511001
oct14147075045174
92864221041833
10838474156668
112a365a891095
1211660336bb10
13610b5b8b955
142c8220238a8
1516c25d77263
hexc338f44a7c

838474156668 has 96 divisors (see below), whose sum is σ = 2162639485440. Its totient is φ = 251655655680.

The previous prime is 838474156607. The next prime is 838474156711. The reversal of 838474156668 is 866651474838.

838474156668 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×8384741566682 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 838474156599 and 838474156608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 314098 + ... + 1332518.

It is an arithmetic number, because the mean of its divisors is an integer number (22527494640).

Almost surely, 2838474156668 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 838474156668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1081319742720).

838474156668 is an abundant number, since it is smaller than the sum of its proper divisors (1324165328772).

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

838474156668 is a wasteful number, since it uses less digits than its factorization.

838474156668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1018627 (or 1018625 counting only the distinct ones).

The product of its digits is 185794560, while the sum is 66.

The spelling of 838474156668 in words is "eight hundred thirty-eight billion, four hundred seventy-four million, one hundred fifty-six thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 12 19 23 38 46 57 69 76 92 114 138 157 228 276 314 437 471 628 874 942 1311 1748 1884 2622 2983 3611 5244 5966 7222 8949 10833 11932 14444 17898 21666 35796 43332 68609 137218 205827 274436 411654 823308 1018421 2036842 3055263 4073684 6110526 12221052 19349999 23423683 38699998 46847366 58049997 70271049 77399996 93694732 116099994 140542098 159892097 232199988 281084196 319784194 445049977 479676291 639568388 890099954 959352582 1335149931 1780199908 1918705164 2670299862 3037949843 3677518231 5340599724 6075899686 7355036462 9113849529 11032554693 12151799372 14710072924 18227699058 22065109386 36455398116 44130218772 69872846389 139745692778 209618539167 279491385556 419237078334 838474156668