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65135853156 = 223112108741269
BaseRepresentation
bin111100101010011001…
…100011111001100100
320020010102121011210210
4330222121203321210
52031344234300111
645531211215420
74464061421343
oct745231437144
9206112534723
1065135853156
1125695544600
1210759a47570
1361b07a375a
14321c9d9b5a
151a635920a6
hexf2a663e64

65135853156 has 72 divisors (see below), whose sum is σ = 167214154240. Its totient is φ = 19719501120.

The previous prime is 65135853121. The next prime is 65135853157.

65135853156 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (65135853157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1557690 + ... + 1598958.

Almost surely, 265135853156 is an apocalyptic number.

65135853156 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65135853156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83607077120).

65135853156 is an abundant number, since it is smaller than the sum of its proper divisors (102078301084).

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

65135853156 is a wasteful number, since it uses less digits than its factorization.

65135853156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42385 (or 42372 counting only the distinct ones).

The product of its digits is 1620000, while the sum is 48.

Adding to 65135853156 its product of digits (1620000), we get a palindrome (65137473156).

The spelling of 65135853156 in words is "sixty-five billion, one hundred thirty-five million, eight hundred fifty-three thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 484 726 1087 1452 2174 3261 4348 6522 11957 13044 23914 35871 41269 47828 71742 82538 123807 131527 143484 165076 247614 263054 394581 453959 495228 526108 789162 907918 1361877 1578324 1815836 2723754 4993549 5447508 9987098 14980647 19974196 29961294 44859403 59922588 89718806 134578209 179437612 269156418 493453433 538312836 986906866 1480360299 1973813732 2960720598 5427987763 5921441196 10855975526 16283963289 21711951052 32567926578 65135853156