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55234399968 = 25321173238837
BaseRepresentation
bin110011011100001110…
…100000111011100000
312021120101021020111100
4303130032200323200
51401110001244333
641212504514400
73663521440026
oct633416407340
9167511236440
1055234399968
1121474419240
12a855a7ba00
13529333b507
14295d9aa716
15168419d213
hexcdc3a0ee0

55234399968 has 144 divisors (see below), whose sum is σ = 173700189936. Its totient is φ = 16508344320.

The previous prime is 55234399963. The next prime is 55234399999. The reversal of 55234399968 is 86999343255.

55234399968 is a `hidden beast` number, since 5 + 5 + 234 + 399 + 9 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55234399963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111846 + ... + 350682.

It is an arithmetic number, because the mean of its divisors is an integer number (1206251319).

Almost surely, 255234399968 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 55234399968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86850094968).

55234399968 is an abundant number, since it is smaller than the sum of its proper divisors (118465789968).

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

55234399968 is a wasteful number, since it uses less digits than its factorization.

55234399968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238937 (or 238926 counting only the distinct ones).

The product of its digits is 62985600, while the sum is 63.

The spelling of 55234399968 in words is "fifty-five billion, two hundred thirty-four million, three hundred ninety-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 73 88 96 99 132 144 146 176 198 219 264 288 292 352 396 438 528 584 657 792 803 876 1056 1168 1314 1584 1606 1752 2336 2409 2628 3168 3212 3504 4818 5256 6424 7008 7227 9636 10512 12848 14454 19272 21024 25696 28908 38544 57816 77088 115632 231264 238837 477674 716511 955348 1433022 1910696 2149533 2627207 2866044 3821392 4299066 5254414 5732088 7642784 7881621 8598132 10508828 11464176 15763242 17196264 17435101 21017656 22928352 23644863 31526484 34392528 34870202 42035312 47289726 52305303 63052968 68785056 69740404 84070624 94579452 104610606 126105936 139480808 156915909 189158904 191786111 209221212 252211872 278961616 313831818 378317808 383572222 418442424 557923232 575358333 627663636 756635616 767144444 836884848 1150716666 1255327272 1534288888 1673769696 1726074999 2301433332 2510654544 3068577776 3452149998 4602866664 5021309088 6137155552 6904299996 9205733328 13808599992 18411466656 27617199984 55234399968