Search a number
-
+
11111109999936 = 263593044932213
BaseRepresentation
bin1010000110110000000111…
…0000111011110101000000
31110100012201100201111100020
42201230001300323311000
52424021023124444221
635344212400253440
72224515443456232
oct241540160736500
943305640644306
1011111109999936
1135a4216a24441
1212b54a8311280
13627a0889344b
142a5acdd3c252
1514405ae60ac6
hexa1b01c3bd40

11111109999936 has 112 divisors (see below), whose sum is σ = 29898328824000. Its totient is φ = 3640696102912.

The previous prime is 11111109999881. The next prime is 11111109999937. The reversal of 11111109999936 is 63999990111111.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 11111109999936.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11111109999937) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 344910166 + ... + 344942378.

It is an arithmetic number, because the mean of its divisors is an integer number (266949364500).

Almost surely, 211111109999936 is an apocalyptic number.

11111109999936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11111109999936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14949164412000).

11111109999936 is an abundant number, since it is smaller than the sum of its proper divisors (18787218824064).

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

11111109999936 is a wasteful number, since it uses less digits than its factorization.

11111109999936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62736 (or 62726 counting only the distinct ones).

The product of its (nonzero) digits is 1062882, while the sum is 60.

The spelling of 11111109999936 in words is "eleven trillion, one hundred eleven billion, one hundred nine million, nine hundred ninety-nine thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 96 118 177 192 236 354 472 708 944 1416 1888 2832 3776 5664 11328 30449 32213 60898 64426 91347 96639 121796 128852 182694 193278 243592 257704 365388 386556 487184 515408 730776 773112 974368 1030816 1461552 1546224 1796491 1900567 1948736 2061632 2923104 3092448 3592982 3801134 5389473 5701701 5846208 6184896 7185964 7602268 10778946 11403402 14371928 15204536 21557892 22806804 28743856 30409072 43115784 45613608 57487712 60818144 86231568 91227216 114975424 121636288 172463136 182454432 344926272 364908864 980853637 1961707274 2942560911 3923414548 5885121822 7846829096 11770243644 15693658192 23540487288 31387316384 47080974576 57870364583 62774632768 94161949152 115740729166 173611093749 188323898304 231481458332 347222187498 462962916664 694444374996 925925833328 1388888749992 1851851666656 2777777499984 3703703333312 5555554999968 11111109999936