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1231516768 = 25192278923
BaseRepresentation
bin100100101100111…
…0111010001100000
310011211022112102011
41021121313101200
510010232014033
6322111402304
742342501616
oct11131672140
93154275364
101231516768
11582182859
122a4523394
131681aa961
14b97b56b6
15731b3ccd
hex49677460

1231516768 has 48 divisors (see below), whose sum is σ = 2563686720. Its totient is φ = 580715136.

The previous prime is 1231516747. The next prime is 1231516777. The reversal of 1231516768 is 8676151321.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1231516768.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 133555 + ... + 142477.

It is an arithmetic number, because the mean of its divisors is an integer number (53410140).

Almost surely, 21231516768 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 1231516768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1281843360).

1231516768 is an abundant number, since it is smaller than the sum of its proper divisors (1332169952).

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

1231516768 is a wasteful number, since it uses less digits than its factorization.

1231516768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9179 (or 9171 counting only the distinct ones).

The product of its digits is 60480, while the sum is 40.

The square root of 1231516768 is about 35092.9731997732. The cubic root of 1231516768 is about 1071.8815028298.

The spelling of 1231516768 in words is "one billion, two hundred thirty-one million, five hundred sixteen thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 19 32 38 76 152 227 304 454 608 908 1816 3632 4313 7264 8626 8923 17252 17846 34504 35692 69008 71384 138016 142768 169537 285536 339074 678148 1356296 2025521 2712592 4051042 5425184 8102084 16204168 32408336 38484899 64816672 76969798 153939596 307879192 615758384 1231516768