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46993428261 = 341344628137
BaseRepresentation
bin101011110001000001…
…101100111100100101
311111022001102111120000
4223301001230330211
51232220304201021
633331040131513
73252353356323
oct536101547445
9144261374500
1046993428261
1118a2562421a
129136006b99
13457bbc71b0
1423bb2d6d13
151350953b26
hexaf106cf25

46993428261 has 20 divisors (see below), whose sum is σ = 75600065772. Its totient is φ = 28919032128.

The previous prime is 46993428199. The next prime is 46993428269. The reversal of 46993428261 is 16282439964.

46993428261 is a `hidden beast` number, since 469 + 9 + 3 + 42 + 82 + 61 = 666.

46993428261 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 8745803361 + 38247624900 = 93519^2 + 195570^2 .

It is a de Polignac number, because none of the positive numbers 2k-46993428261 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 46993428198 and 46993428207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46993428269) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 22313016 + ... + 22315121.

Almost surely, 246993428261 is an apocalyptic number.

It is an amenable number.

46993428261 is a deficient number, since it is larger than the sum of its proper divisors (28606637511).

46993428261 is a wasteful number, since it uses less digits than its factorization.

46993428261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44628162 (or 44628153 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The spelling of 46993428261 in words is "forty-six billion, nine hundred ninety-three million, four hundred twenty-eight thousand, two hundred sixty-one".

Divisors: 1 3 9 13 27 39 81 117 351 1053 44628137 133884411 401653233 580165781 1204959699 1740497343 3614879097 5221492029 15664476087 46993428261