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1116017568 = 25335921893
BaseRepresentation
bin100001010000101…
…0001001110100000
32212202222120022000
41002201101032200
54241200030233
6302424044000
736440664351
oct10241211640
92782876260
101116017568
11522a65576
12271903600
1314a29b533
14a830bd28
1567e9bd13
hex428513a0

1116017568 has 96 divisors (see below), whose sum is σ = 3310372800. Its totient is φ = 365683968.

The previous prime is 1116017563. The next prime is 1116017587. The reversal of 1116017568 is 8657106111.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1116017563) 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, 40030 + ... + 61922.

It is an arithmetic number, because the mean of its divisors is an integer number (34483050).

Almost surely, 21116017568 is an apocalyptic number.

1116017568 is a gapful number since it is divisible by the number (18) 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 1116017568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1655186400).

1116017568 is an abundant number, since it is smaller than the sum of its proper divisors (2194355232).

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

1116017568 is a wasteful number, since it uses less digits than its factorization.

1116017568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21971 (or 21957 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

The square root of 1116017568 is about 33406.8491181075. The cubic root of 1116017568 is about 1037.2664803317.

The spelling of 1116017568 in words is "one billion, one hundred sixteen million, seventeen thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 59 72 96 108 118 144 177 216 236 288 354 432 472 531 708 864 944 1062 1416 1593 1888 2124 2832 3186 4248 5664 6372 8496 12744 16992 21893 25488 43786 50976 65679 87572 131358 175144 197037 262716 350288 394074 525432 591111 700576 788148 1050864 1182222 1291687 1576296 2101728 2364444 2583374 3152592 3875061 4728888 5166748 6305184 7750122 9457776 10333496 11625183 15500244 18915552 20666992 23250366 31000488 34875549 41333984 46500732 62000976 69751098 93001464 124001952 139502196 186002928 279004392 372005856 558008784 1116017568