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1116746696 = 23134724861
BaseRepresentation
bin100001010010000…
…0011001111001000
32212211100121110202
41002210003033020
54241341343241
6302451431332
736450122162
oct10244031710
92784317422
101116746696
1152341335a
12271bb5548
1314a495380
14a845b932
1568092d9b
hex429033c8

1116746696 has 48 divisors (see below), whose sum is σ = 2304442140. Its totient is φ = 504351360.

The previous prime is 1116746693. The next prime is 1116746713. The reversal of 1116746696 is 6966476111.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1113556900 + 3189796 = 33370^2 + 1786^2 .

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a self number, because there is not a number n which added to its sum of digits gives 1116746696.

It is not an unprimeable number, because it can be changed into a prime (1116746693) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 227306 + ... + 232166.

Almost surely, 21116746696 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 1116746696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1152221070).

1116746696 is an abundant number, since it is smaller than the sum of its proper divisors (1187695444).

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

1116746696 is a wasteful number, since it uses less digits than its factorization.

1116746696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4974 (or 4923 counting only the distinct ones).

The product of its digits is 326592, while the sum is 47.

The square root of 1116746696 is about 33417.7601882592. The cubic root of 1116746696 is about 1037.4923236670.

The spelling of 1116746696 in words is "one billion, one hundred sixteen million, seven hundred forty-six thousand, six hundred ninety-six".

Divisors: 1 2 4 8 13 26 47 52 94 104 188 376 611 1222 2209 2444 4418 4861 4888 8836 9722 17672 19444 28717 38888 57434 63193 114868 126386 228467 229736 252772 456934 505544 913868 1827736 2970071 5940142 10737949 11880284 21475898 23760568 42951796 85903592 139593337 279186674 558373348 1116746696