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65494049456 = 24112131258241
BaseRepresentation
bin111100111111101111…
…111110001010110000
320021001101121102202102
4330333233332022300
52033112434040311
650030524435532
74506001143413
oct747757761260
9207041542672
1065494049456
1125859757800
12108399a8ba8
136239a69524
1432543dbb7a
151a84c4943b
hexf3fbfe2b0

65494049456 has 60 divisors (see below), whose sum is σ = 140544593112. Its totient is φ = 29542656000.

The previous prime is 65494049443. The next prime is 65494049521.

65494049456 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 124496 + ... + 382736.

Almost surely, 265494049456 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 65494049456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70272296556).

65494049456 is an abundant number, since it is smaller than the sum of its proper divisors (75050543656).

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

65494049456 is a wasteful number, since it uses less digits than its factorization.

65494049456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258402 (or 258385 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 56.

The spelling of 65494049456 in words is "sixty-five billion, four hundred ninety-four million, forty-nine thousand, four hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 44 88 121 131 176 242 262 484 524 968 1048 1441 1936 2096 2882 5764 11528 15851 23056 31702 63404 126808 253616 258241 516482 1032964 2065928 2840651 4131856 5681302 11362604 22725208 31247161 33829571 45450416 62494322 67659142 124988644 135318284 249977288 270636568 372125281 499954576 541273136 744250562 1488501124 2977002248 4093378091 5954004496 8186756182 16373512364 32747024728 65494049456