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1116788624 = 247103131739
BaseRepresentation
bin100001010010000…
…1101011110010000
32212211102201222122
41002210031132100
54241344213444
6302452353412
736450355340
oct10244153620
92784381878
101116788624
11523441906
12272015868
1314a4ab493
14a846cd20
15680a04ee
hex4290d790

1116788624 has 80 divisors (see below), whose sum is σ = 2519362560. Its totient is φ = 469722240.

The previous prime is 1116788623. The next prime is 1116788653. The reversal of 1116788624 is 4268876111.

It is not an unprimeable number, because it can be changed into a prime (1116788623) 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, 1510847 + ... + 1511585.

It is an arithmetic number, because the mean of its divisors is an integer number (31492032).

Almost surely, 21116788624 is an apocalyptic number.

1116788624 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 1116788624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1259681280).

1116788624 is an abundant number, since it is smaller than the sum of its proper divisors (1402573936).

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

1116788624 is a wasteful number, since it uses less digits than its factorization.

1116788624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 988 (or 982 counting only the distinct ones).

The product of its digits is 129024, while the sum is 44.

The square root of 1116788624 is about 33418.3875134633. The cubic root of 1116788624 is about 1037.5053076421.

The spelling of 1116788624 in words is "one billion, one hundred sixteen million, seven hundred eighty-eight thousand, six hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 56 103 112 131 206 262 412 524 721 739 824 917 1048 1442 1478 1648 1834 2096 2884 2956 3668 5173 5768 5912 7336 10346 11536 11824 13493 14672 20692 26986 41384 53972 76117 82768 94451 96809 107944 152234 188902 193618 215888 304468 377804 387236 532819 608936 677663 755608 774472 1065638 1217872 1355326 1511216 1548944 2131276 2710652 4262552 5421304 8525104 9971327 10842608 19942654 39885308 69799289 79770616 139598578 159541232 279197156 558394312 1116788624