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1216776912 = 2431323149569
BaseRepresentation
bin100100010000110…
…1000101011010000
310010210120200010120
41020201220223100
54442443330122
6320423430240
742103301361
oct11041505320
93123520116
101216776912
1157492555a
1229b5b5380
13165119850
14b7859b68
1571c5175c
hex48868ad0

1216776912 has 160 divisors (see below), whose sum is σ = 3562272000. Its totient is φ = 355086336.

The previous prime is 1216776893. The next prime is 1216776923. The reversal of 1216776912 is 2196776121.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2138164 + ... + 2138732.

It is an arithmetic number, because the mean of its divisors is an integer number (22264200).

Almost surely, 21216776912 is an apocalyptic number.

1216776912 is a gapful number since it is divisible by the number (12) 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 1216776912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1781136000).

1216776912 is an abundant number, since it is smaller than the sum of its proper divisors (2345495088).

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

1216776912 is a wasteful number, since it uses less digits than its factorization.

1216776912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 759 counting only the distinct ones).

The product of its digits is 63504, while the sum is 42.

The square root of 1216776912 is about 34882.3295093662. The cubic root of 1216776912 is about 1067.5879261455.

It can be divided in two parts, 1216 and 776912, that added together give a triangular number (778128 = T1247).

The spelling of 1216776912 in words is "one billion, two hundred sixteen million, seven hundred seventy-six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 39 46 48 52 69 78 92 104 138 149 156 184 208 276 298 299 312 368 447 552 569 596 598 624 894 897 1104 1138 1192 1196 1707 1788 1794 1937 2276 2384 2392 3414 3427 3576 3588 3874 4552 4784 5811 6828 6854 7152 7176 7397 7748 9104 10281 11622 13087 13656 13708 14352 14794 15496 20562 22191 23244 26174 27312 27416 29588 30992 39261 41124 44382 44551 46488 52348 54832 59176 78522 82248 84781 88764 89102 92976 104696 118352 133653 157044 164496 169562 170131 177528 178204 209392 254343 267306 314088 339124 340262 355056 356408 508686 510393 534612 628176 678248 680524 712816 1017372 1020786 1069224 1102153 1356496 1361048 1949963 2034744 2041572 2138448 2204306 2722096 3306459 3899926 4069488 4083144 4408612 5849889 6612918 7799852 8166288 8817224 11699778 13225836 15599704 17634448 23399556 25349519 26451672 31199408 46799112 50699038 52903344 76048557 93598224 101398076 152097114 202796152 304194228 405592304 608388456 1216776912