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53660367072 = 25321314332363
BaseRepresentation
bin110001111110011010…
…000011100011100000
312010111200110002021200
4301332122003203200
51334344023221242
640352355521200
73606516410604
oct617632034340
9163450402250
1053660367072
1120836973004
12a4968b9200
1350a21c7bc0
142850915504
1515e0dcd04c
hexc7e6838e0

53660367072 has 72 divisors (see below), whose sum is σ = 164334885624. Its totient is φ = 16510881024.

The previous prime is 53660367071. The next prime is 53660367107. The reversal of 53660367072 is 27076306635.

53660367072 is a `hidden beast` number, since 5 + 36 + 603 + 6 + 7 + 0 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53660367071) 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 11 ways as a sum of consecutive naturals, for example, 7162438 + ... + 7169925.

It is an arithmetic number, because the mean of its divisors is an integer number (2282428967).

Almost surely, 253660367072 is an apocalyptic number.

53660367072 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

53660367072 is an abundant number, since it is smaller than the sum of its proper divisors (110674518552).

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

53660367072 is a wasteful number, since it uses less digits than its factorization.

53660367072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14332392 (or 14332381 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 45.

The spelling of 53660367072 in words is "fifty-three billion, six hundred sixty million, three hundred sixty-seven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 14332363 28664726 42997089 57329452 85994178 114658904 128991267 171988356 186320719 229317808 257982534 343976712 372641438 458635616 515965068 558962157 687953424 745282876 1031930136 1117924314 1375906848 1490565752 1676886471 2063860272 2235848628 2981131504 3353772942 4127720544 4471697256 5962263008 6707545884 8943394512 13415091768 17886789024 26830183536 53660367072