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1138716036 = 2233611271361
BaseRepresentation
bin100001111011111…
…0110110110000100
32221100200202202000
41003313312312010
54313002403121
6304554345300
740134632553
oct10367666604
92840622660
101138716036
11534859237
1227942b230
13151bb7c93
14ab339d9a
1569e82526
hex43df6d84

1138716036 has 96 divisors (see below), whose sum is σ = 3026472960. Its totient is φ = 370137600.

The previous prime is 1138716023. The next prime is 1138716071. The reversal of 1138716036 is 6306178311.

1138716036 is a `hidden beast` number, since 11 + 38 + 7 + 1 + 603 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 835996 + ... + 837356.

It is an arithmetic number, because the mean of its divisors is an integer number (31525760).

Almost surely, 21138716036 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 1138716036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1513236480).

1138716036 is an abundant number, since it is smaller than the sum of its proper divisors (1887756924).

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

1138716036 is a wasteful number, since it uses less digits than its factorization.

1138716036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1562 (or 1554 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 1138716036 is about 33744.8668096349. The cubic root of 1138716036 is about 1044.2515908380.

The spelling of 1138716036 in words is "one billion, one hundred thirty-eight million, seven hundred sixteen thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 61 108 122 127 183 244 254 366 381 508 549 732 762 1098 1143 1361 1524 1647 2196 2286 2722 3294 3429 4083 4572 5444 6588 6858 7747 8166 12249 13716 15494 16332 23241 24498 30988 36747 46482 48996 69723 73494 83021 92964 139446 146988 166042 172847 209169 249063 278892 332084 345694 418338 498126 518541 691388 747189 836676 996252 1037082 1494378 1555623 2074164 2241567 2988756 3111246 4483134 4666869 6222492 8966268 9333738 10543667 18667476 21087334 31631001 42174668 63262002 94893003 126524004 189786006 284679009 379572012 569358018 1138716036