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1128641616 = 243225213109
BaseRepresentation
bin100001101000101…
…1011010001010000
32220122201221020100
41003101123101100
54302413012431
6303554412400
736653203224
oct10321332120
92818657210
101128641616
1152a0a8173
12275b91100
1314ca9b59b
14a9c76784
15691424e6
hex4345b450

1128641616 has 60 divisors (see below), whose sum is σ = 3160898260. Its totient is φ = 375943680.

The previous prime is 1128641603. The next prime is 1128641623. The reversal of 1128641616 is 6161468211.

1128641616 is a `hidden beast` number, since 1 + 1 + 2 + 8 + 641 + 6 + 1 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 59351616 + 1069290000 = 7704^2 + 32700^2 .

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

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 11 ways as a sum of consecutive naturals, for example, 361470 + ... + 364578.

Almost surely, 21128641616 is an apocalyptic number.

1128641616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1128641616 is an abundant number, since it is smaller than the sum of its proper divisors (2032256644).

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

1128641616 is a wasteful number, since it uses less digits than its factorization.

1128641616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5644 (or 5635 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 1128641616 is about 33595.2618087730. The cubic root of 1128641616 is about 1041.1629052944.

The spelling of 1128641616 in words is "one billion, one hundred twenty-eight million, six hundred forty-one thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 2521 3109 5042 6218 7563 9327 10084 12436 15126 18654 20168 22689 24872 27981 30252 37308 40336 45378 49744 55962 60504 74616 90756 111924 121008 149232 181512 223848 363024 447696 7837789 15675578 23513367 31351156 47026734 62702312 70540101 94053468 125404624 141080202 188106936 282160404 376213872 564320808 1128641616