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52306163712 = 2113211257981
BaseRepresentation
bin110000101101101100…
…001011100000000000
312000000022021102111200
4300231230023200000
51324110334214322
640010142341200
73531124025055
oct605554134000
9160008242450
1052306163712
1120201513a80
12a17928a800
134c1779253a
142762b2502c
1515620828ac
hexc2db0b800

52306163712 has 144 divisors (see below), whose sum is σ = 164804061240. Its totient is φ = 15850291200.

The previous prime is 52306163683. The next prime is 52306163719. The reversal of 52306163712 is 21736160325.

52306163712 is a `hidden beast` number, since 5 + 2 + 3 + 0 + 6 + 1 + 637 + 12 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52306163719) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73762 + ... + 331742.

Almost surely, 252306163712 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 52306163712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82402030620).

52306163712 is an abundant number, since it is smaller than the sum of its proper divisors (112497897528).

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

52306163712 is a wasteful number, since it uses less digits than its factorization.

52306163712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258020 (or 257997 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 52306163712 in words is "fifty-two billion, three hundred six million, one hundred sixty-three thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 512 528 576 704 768 792 1024 1056 1152 1408 1536 1584 2048 2112 2304 2816 3072 3168 4224 4608 5632 6144 6336 8448 9216 11264 12672 16896 18432 22528 25344 33792 50688 67584 101376 202752 257981 515962 773943 1031924 1547886 2063848 2321829 2837791 3095772 4127696 4643658 5675582 6191544 8255392 8513373 9287316 11351164 12383088 16510784 17026746 18574632 22702328 24766176 25540119 33021568 34053492 37149264 45404656 49532352 51080238 66043136 68106984 74298528 90809312 99064704 102160476 132086272 136213968 148597056 181618624 198129408 204320952 264172544 272427936 297194112 363237248 396258816 408641904 528345088 544855872 594388224 726474496 792517632 817283808 1089711744 1188776448 1452948992 1585035264 1634567616 2179423488 2377552896 2905897984 3269135232 4358846976 4755105792 5811795968 6538270464 8717693952 13076540928 17435387904 26153081856 52306163712