Search a number
-
+
213788438892 = 223273783276251
BaseRepresentation
bin1100011100011011001…
…0001011000101101100
3202102211021122221210100
43013012302023011230
512000314320021032
6242114004111100
721305606514210
oct3070662130554
9672737587710
10213788438892
1182738000446
1235525395490
1317210b56762
14a4c1446940
155863c1797c
hex31c6c8b16c

213788438892 has 144 divisors (see below), whose sum is σ = 641947767552. Its totient is φ = 58715280000.

The previous prime is 213788438861. The next prime is 213788438911. The reversal of 213788438892 is 298834887312.

213788438892 is a `hidden beast` number, since 2 + 1 + 37 + 88 + 438 + 8 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 635767 + ... + 912017.

It is an arithmetic number, because the mean of its divisors is an integer number (4457970608).

Almost surely, 2213788438892 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 213788438892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320973883776).

213788438892 is an abundant number, since it is smaller than the sum of its proper divisors (428159328660).

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

213788438892 is a wasteful number, since it uses less digits than its factorization.

213788438892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276388 (or 276383 counting only the distinct ones).

The product of its digits is 37158912, while the sum is 63.

The spelling of 213788438892 in words is "two hundred thirteen billion, seven hundred eighty-eight million, four hundred thirty-eight thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 37 42 63 74 83 84 111 126 148 166 222 249 252 259 332 333 444 498 518 581 666 747 777 996 1036 1162 1332 1494 1554 1743 2324 2331 2988 3071 3108 3486 4662 5229 6142 6972 9213 9324 10458 12284 18426 20916 21497 27639 36852 42994 55278 64491 85988 110556 128982 193473 257964 276251 386946 552502 773892 828753 1105004 1657506 1933757 2486259 3315012 3867514 4972518 5801271 7735028 9945036 10221287 11602542 17403813 20442574 22928833 23205084 30663861 34807626 40885148 45857666 61327722 68786499 69615252 71549009 91715332 91991583 122655444 137572998 143098018 160501831 183983166 206359497 214647027 275145996 286196036 321003662 367966332 412718994 429294054 481505493 642007324 643941081 825437988 848366821 858588108 963010986 1287882162 1444516479 1696733642 1926021972 2545100463 2575764324 2889032958 3393467284 5090200926 5778065916 5938567747 7635301389 10180401852 11877135494 15270602778 17815703241 23754270988 30541205556 35631406482 53447109723 71262812964 106894219446 213788438892