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11804755664 = 24131797127271
BaseRepresentation
bin10101111111001111…
…00100011011010000
31010110200201201110202
422333213210123100
5143134004140124
65231212514332
7565350524162
oct127747443320
933420651422
1011804755664
115008527719
12235547b9a8
131161884030
147ddb16932
154915555ae
hex2bf9e46d0

11804755664 has 160 divisors (see below), whose sum is σ = 26654294016. Its totient is φ = 5016453120.

The previous prime is 11804755663. The next prime is 11804755717. The reversal of 11804755664 is 46655740811.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11804755663) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 43559849 + ... + 43560119.

Almost surely, 211804755664 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 11804755664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13327147008).

11804755664 is an abundant number, since it is smaller than the sum of its proper divisors (14849538352).

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

11804755664 is a wasteful number, since it uses less digits than its factorization.

11804755664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 47.

The spelling of 11804755664 in words is "eleven billion, eight hundred four million, seven hundred fifty-five thousand, six hundred sixty-four".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 97 104 127 136 194 208 221 254 271 272 388 442 508 542 776 884 1016 1084 1261 1552 1649 1651 1768 2032 2159 2168 2522 3298 3302 3523 3536 4318 4336 4607 5044 6596 6604 7046 8636 9214 10088 12319 13192 13208 14092 17272 18428 20176 21437 24638 26287 26384 26416 28067 28184 34417 34544 36856 42874 49276 52574 56134 56368 59891 68834 73712 85748 98552 105148 112268 119782 137668 160147 171496 197104 209423 210296 224536 239564 275336 320294 341731 342992 418846 420592 446879 447421 449072 479128 550672 585089 640588 683462 837692 893758 894842 958256 1170178 1281176 1366924 1675384 1787516 1789684 2340356 2562352 2722499 2733848 3338449 3350768 3575032 3579368 4680712 5444998 5467696 5809427 6676898 7150064 7158736 7606157 9361424 10889996 11618854 13353796 15212314 21779992 23237708 26707592 30424628 43399837 43559984 46475416 53415184 56753633 60849256 86799674 92950832 113507266 121698512 173599348 227014532 347198696 454029064 694397392 737797229 908058128 1475594458 2951188916 5902377832 11804755664