Search a number
-
+
81203651934336 = 2732179393794867
BaseRepresentation
bin10010011101101010110010…
…110100111111100010000000
3101122111222211010022121201200
4102131222302310333202000
541120420034343344321
6444412235342501200
723050525123550301
oct2235526264774200
9348458733277650
1081203651934336
11239683035a6588
12913598a894800
133640618c119c9
14160a3c610a7a8
1595c460043d26
hex49dab2d3f880

81203651934336 has 96 divisors (see below), whose sum is σ = 234977397735600. Its totient is φ = 26916666680832.

The previous prime is 81203651934329. The next prime is 81203651934337. The reversal of 81203651934336 is 63343915630218.

81203651934336 is a `hidden beast` number, since 8 + 1 + 20 + 36 + 519 + 3 + 43 + 36 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (81203651934337) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 196691226 + ... + 197103641.

Almost surely, 281203651934336 is an apocalyptic number.

It is an amenable number.

81203651934336 is an abundant number, since it is smaller than the sum of its proper divisors (153773745801264).

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

81203651934336 is a wasteful number, since it uses less digits than its factorization.

81203651934336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393795066 (or 393795051 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 81203651934336 in words is "eighty-one trillion, two hundred three billion, six hundred fifty-one million, nine hundred thirty-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 179 192 288 358 384 537 576 716 1074 1152 1432 1611 2148 2864 3222 4296 5728 6444 8592 11456 12888 17184 22912 25776 34368 51552 68736 103104 206208 393794867 787589734 1181384601 1575179468 2362769202 3150358936 3544153803 4725538404 6300717872 7088307606 9451076808 12601435744 14176615212 18902153616 25202871488 28353230424 37804307232 50405742976 56706460848 70489281193 75608614464 113412921696 140978562386 151217228928 211467843579 226825843392 281957124772 422935687158 453651686784 563914249544 634403530737 845871374316 1127828499088 1268807061474 1691742748632 2255656998176 2537614122948 3383485497264 4511313996352 5075228245896 6766970994528 9022627992704 10150456491792 13533941989056 20300912983584 27067883978112 40601825967168 81203651934336