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1116384864 = 25371031272
BaseRepresentation
bin100001010001010…
…1010111001100000
32212210200020010120
41002202222321200
54241243303424
6302440000240
736444054240
oct10242527140
92783606116
101116384864
11523196521
12271a60080
1314a39977a
14a83a5b20
1568020a79
hex428aae60

1116384864 has 144 divisors (see below), whose sum is σ = 3408507648. Its totient is φ = 313383168.

The previous prime is 1116384853. The next prime is 1116384889. The reversal of 1116384864 is 4684836111.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8790369 + ... + 8790495.

It is an arithmetic number, because the mean of its divisors is an integer number (23670192).

Almost surely, 21116384864 is an apocalyptic number.

1116384864 is a gapful number since it is divisible by the number (14) 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 1116384864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1704253824).

1116384864 is an abundant number, since it is smaller than the sum of its proper divisors (2292122784).

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

1116384864 is a wasteful number, since it uses less digits than its factorization.

1116384864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 242 counting only the distinct ones).

The product of its digits is 110592, while the sum is 42.

The square root of 1116384864 is about 33412.3459816877. The cubic root of 1116384864 is about 1037.3802605123.

The spelling of 1116384864 in words is "one billion, one hundred sixteen million, three hundred eighty-four thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 103 112 127 168 206 224 254 309 336 381 412 508 618 672 721 762 824 889 1016 1236 1442 1524 1648 1778 2032 2163 2472 2667 2884 3048 3296 3556 4064 4326 4944 5334 5768 6096 7112 8652 9888 10668 11536 12192 13081 14224 16129 17304 21336 23072 26162 28448 32258 34608 39243 42672 48387 52324 64516 69216 78486 85344 91567 96774 104648 112903 129032 156972 183134 193548 209296 225806 258064 274701 313944 338709 366268 387096 418592 451612 516128 549402 627888 677418 732536 774192 903224 1098804 1255776 1354836 1465072 1548384 1661287 1806448 2197608 2709672 2930144 3322574 3612896 4395216 4983861 5419344 6645148 8790432 9967722 10838688 11629009 13290296 19935444 23258018 26580592 34887027 39870888 46516036 53161184 69774054 79741776 93032072 139548108 159483552 186064144 279096216 372128288 558192432 1116384864