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1216240463648 = 25722415875483
BaseRepresentation
bin10001101100101101100…
…101001010111100100000
311022021022220000010220002
4101230231211022330200
5124411330024314043
62330422210035132
7153604400236400
oct21545545127440
94267286003802
101216240463648
11429894041881
12177870578aa8
138a8ca124b02
1442c1b3b2800
152198587ebb8
hex11b2d94af20

1216240463648 has 144 divisors (see below), whose sum is σ = 2802241389024. Its totient is φ = 518104258560.

The previous prime is 1216240463593. The next prime is 1216240463651. The reversal of 1216240463648 is 8463640426121.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 221817515 + ... + 221822997.

It is an arithmetic number, because the mean of its divisors is an integer number (19460009646).

Almost surely, 21216240463648 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 1216240463648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1401120694512).

1216240463648 is an abundant number, since it is smaller than the sum of its proper divisors (1586000925376).

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

1216240463648 is a wasteful number, since it uses less digits than its factorization.

1216240463648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6335 (or 6320 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 47.

Adding to 1216240463648 its reverse (8463640426121), we get a palindrome (9679880889769).

The spelling of 1216240463648 in words is "one trillion, two hundred sixteen billion, two hundred forty million, four hundred sixty-three thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 241 392 482 587 784 964 1174 1568 1687 1928 2348 3374 3856 4109 4696 5483 6748 7712 8218 9392 10966 11809 13496 16436 18784 21932 23618 26992 28763 32872 38381 43864 47236 53984 57526 65744 76762 87728 94472 115052 131488 141467 153524 175456 188944 230104 268667 282934 307048 377888 460208 537334 565868 614096 920416 990269 1074668 1131736 1228192 1321403 1980538 2149336 2263472 2642806 3218521 3961076 4298672 4526944 5285612 6437042 6931883 7922152 8597344 9249821 10571224 12874084 13863766 15844304 18499642 21142448 22529647 25748168 27727532 31688608 36999284 42284896 45059294 51496336 55455064 64748747 73998568 90118588 102992672 110910128 129497494 147997136 157707529 180237176 221820256 258994988 295994272 315415058 360474352 517989976 630830116 720948704 775663561 1035979952 1261660232 1551327122 2071959904 2523320464 3102654244 5046640928 5429644927 6205308488 10859289854 12410616976 21718579708 24821233952 38007514489 43437159416 76015028978 86874318832 152030057956 173748637664 304060115912 608120231824 1216240463648