Search a number
-
+
21196367906392 = 23731127347277063
BaseRepresentation
bin1001101000111001010011…
…11110101100011001011000
32210001100112022202010212201
410310130221332230121120
510234240130141001032
6113025251010215544
74315246520314510
oct464345176543130
983040468663781
1021196367906392
116832369105478
122463bb88845b4
13ba9a69262713
14533ca4240840
1526b575c708e7
hex134729fac658

21196367906392 has 128 divisors (see below), whose sum is σ = 47391509053440. Its totient is φ = 8696732365440.

The previous prime is 21196367906339. The next prime is 21196367906453. The reversal of 21196367906392 is 29360976369112.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76365253 + ... + 76642315.

It is an arithmetic number, because the mean of its divisors is an integer number (370246164480).

Almost surely, 221196367906392 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 21196367906392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23695754526720).

21196367906392 is an abundant number, since it is smaller than the sum of its proper divisors (26195141147048).

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

21196367906392 is a wasteful number, since it uses less digits than its factorization.

21196367906392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277581 (or 277577 counting only the distinct ones).

The product of its (nonzero) digits is 39680928, while the sum is 64.

The spelling of 21196367906392 in words is "twenty-one trillion, one hundred ninety-six billion, three hundred sixty-seven million, nine hundred six thousand, three hundred ninety-two".

Divisors: 1 2 4 7 8 14 28 31 56 62 124 127 217 248 254 347 434 508 694 868 889 1016 1388 1736 1778 2429 2776 3556 3937 4858 7112 7874 9716 10757 15748 19432 21514 27559 31496 43028 44069 55118 75299 86056 88138 110236 150598 176276 220472 277063 301196 308483 352552 554126 602392 616966 1108252 1233932 1366139 1939441 2216504 2467864 2732278 3878882 5464556 7757764 8588953 9562973 10929112 15515528 17177906 19125946 34355812 35187001 38251892 60122671 68711624 70374002 76503784 96140861 120245342 140748004 192281722 240490684 246309007 281496008 384563444 480981368 492618014 672986027 769126888 985236028 1090797031 1345972054 1970472056 2181594062 2691944108 2980366691 4363188124 5383888216 5960733382 7635579217 8726376248 11921466764 12209889347 15271158434 20862566837 23842933528 24419778694 30542316868 41725133674 48839557388 61084633736 83450267348 85469225429 97679114776 166900534696 170938450858 341876901716 378506569757 683753803432 757013139514 1514026279028 2649545988299 3028052558056 5299091976598 10598183953196 21196367906392