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1155116312 = 23783257967
BaseRepresentation
bin100010011011001…
…1010110100011000
32222111112222200122
41010312122310120
54331202210222
6310342052412
740424220020
oct10466326430
92874488618
101155116312
1154303aa89
12282a1a108
1315540aa9c
14ad5a8a80
156b621a42
hex44d9ad18

1155116312 has 64 divisors (see below), whose sum is σ = 2517419520. Its totient is φ = 486678528.

The previous prime is 1155116311. The next prime is 1155116351. The reversal of 1155116312 is 2136115511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1155116311) 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, 1194053 + ... + 1195019.

It is an arithmetic number, because the mean of its divisors is an integer number (39334680).

Almost surely, 21155116312 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 1155116312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1258709760).

1155116312 is an abundant number, since it is smaller than the sum of its proper divisors (1362303208).

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

1155116312 is a wasteful number, since it uses less digits than its factorization.

1155116312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1320 (or 1316 counting only the distinct ones).

The product of its digits is 900, while the sum is 26.

The square root of 1155116312 is about 33987.0021037455. The cubic root of 1155116312 is about 1049.2409667795.

The spelling of 1155116312 in words is "one billion, one hundred fifty-five million, one hundred sixteen thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 28 56 83 166 257 332 514 581 664 967 1028 1162 1799 1934 2056 2324 3598 3868 4648 6769 7196 7736 13538 14392 21331 27076 42662 54152 80261 85324 149317 160522 170648 248519 298634 321044 497038 561827 597268 642088 994076 1123654 1194536 1739633 1988152 2247308 3479266 4494616 6958532 13917064 20627077 41254154 82508308 144389539 165016616 288779078 577558156 1155116312