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47661657149 = 1923731494049
BaseRepresentation
bin101100011000110110…
…110010110000111101
311120000121211001021002
4230120312302300331
51240102341012044
633521230420045
73305046254441
oct543066626075
9146017731232
1047661657149
11192388434a7
1292a1961625
1346574913c2
142441d60821
15138e44c74e
hexb18db2c3d

47661657149 has 16 divisors (see below), whose sum is σ = 53068656000. Its totient is φ = 42598296576.

The previous prime is 47661657143. The next prime is 47661657161. The reversal of 47661657149 is 94175616674.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-47661657149 is a prime.

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 47661657094 and 47661657103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47661657143) 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 15 ways as a sum of consecutive naturals, for example, 715124 + ... + 778925.

It is an arithmetic number, because the mean of its divisors is an integer number (3316791000).

Almost surely, 247661657149 is an apocalyptic number.

It is an amenable number.

47661657149 is a deficient number, since it is larger than the sum of its proper divisors (5406998851).

47661657149 is a wasteful number, since it uses less digits than its factorization.

47661657149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1494164.

The product of its digits is 7620480, while the sum is 56.

The spelling of 47661657149 in words is "forty-seven billion, six hundred sixty-one million, six hundred fifty-seven thousand, one hundred forty-nine".

Divisors: 1 19 23 73 437 1387 1679 31901 1494049 28386931 34363127 109065577 652899413 2072245963 2508508271 47661657149