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54268230733632 = 263358753501237
BaseRepresentation
bin11000101011011010011101…
…00111011000111101000000
321010010222210022022001021000
430111231032213120331000
524103112314031434012
6311230251522532000
714300515230146016
oct1425551647307500
9233128708261230
1054268230733632
111632303352aa13
126105668807000
13243861a566036
14d5884c6888b6
156419941b7ddc
hex315b4e9d8f40

54268230733632 has 112 divisors (see below), whose sum is σ = 159810337955520. Its totient is φ = 18058593194496.

The previous prime is 54268230733601. The next prime is 54268230733699. The reversal of 54268230733632 is 23633703286245.

54268230733632 is a `hidden beast` number, since 5 + 42 + 6 + 8 + 230 + 7 + 3 + 363 + 2 = 666.

54268230733632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×542682307336322 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 25736283 + ... + 27764954.

It is an arithmetic number, because the mean of its divisors is an integer number (1426878017460).

Almost surely, 254268230733632 is an apocalyptic number.

It is an amenable number.

54268230733632 is an abundant number, since it is smaller than the sum of its proper divisors (105542107221888).

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

54268230733632 is a wasteful number, since it uses less digits than its factorization.

54268230733632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53501845 (or 53501829 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 54.

The spelling of 54268230733632 in words is "fifty-four trillion, two hundred sixty-eight billion, two hundred thirty million, seven hundred thirty-three thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 587 864 1174 1728 1761 2348 3522 4696 5283 7044 9392 10566 14088 15849 18784 21132 28176 31698 37568 42264 56352 63396 84528 112704 126792 169056 253584 338112 507168 1014336 53501237 107002474 160503711 214004948 321007422 428009896 481511133 642014844 856019792 963022266 1284029688 1444533399 1712039584 1926044532 2568059376 2889066798 3424079168 3852089064 5136118752 5778133596 7704178128 10272237504 11556267192 15408356256 23112534384 30816712512 31405226119 46225068768 62810452238 92450137536 94215678357 125620904476 188431356714 251241808952 282647035071 376862713428 502483617904 565294070142 753725426856 847941105213 1004967235808 1130588140284 1507450853712 1695882210426 2009934471616 2261176280568 3014901707424 3391764420852 4522352561136 6029803414848 6783528841704 9044705122272 13567057683408 18089410244544 27134115366816 54268230733632