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53110120304352 = 2538912834844951
BaseRepresentation
bin11000001001101101010011…
…10110101100111011100000
320222001021111121012121111210
430010312221312230323200
523430124011244214402
6304542241421110120
714121036202005216
oct1404665166547340
9228037447177453
1053110120304352
1115a1696a374361
125b5911b9b8340
132383355652387
14d1878767ccb6
156217b1d1206c
hex304da9dacee0

53110120304352 has 96 divisors (see below), whose sum is σ = 141090428586240. Its totient is φ = 17490812134400.

The previous prime is 53110120304299. The next prime is 53110120304383. The reversal of 53110120304352 is 25340302101135.

53110120304352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×531101203043522 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8539477 + ... + 13384427.

It is an arithmetic number, because the mean of its divisors is an integer number (1469691964440).

Almost surely, 253110120304352 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 53110120304352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70545214293120).

53110120304352 is an abundant number, since it is smaller than the sum of its proper divisors (87980308281888).

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

53110120304352 is a wasteful number, since it uses less digits than its factorization.

53110120304352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4846336 (or 4846328 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 53110120304352 its reverse (25340302101135), we get a palindrome (78450422405487).

The spelling of 53110120304352 in words is "fifty-three trillion, one hundred ten billion, one hundred twenty million, three hundred four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 89 96 178 267 356 534 712 1068 1283 1424 2136 2566 2848 3849 4272 5132 7698 8544 10264 15396 20528 30792 41056 61584 114187 123168 228374 342561 456748 685122 913496 1370244 1826992 2740488 3653984 4844951 5480976 9689902 10961952 14534853 19379804 29069706 38759608 58139412 77519216 116278824 155038432 232557648 431200639 465115296 862401278 1293601917 1724802556 2587203834 3449605112 5174407668 6216072133 6899210224 10348815336 12432144266 13798420448 18648216399 20697630672 24864288532 37296432798 41395261344 49728577064 74592865596 99457154128 149185731192 198914308256 298371462384 553230419837 596742924768 1106460839674 1659691259511 2212921679348 3319382519022 4425843358696 6638765038044 8851686717392 13277530076088 17703373434784 26555060152176 53110120304352