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47457457056 = 2532433832159
BaseRepresentation
bin101100001100101011…
…110101001110100000
311112111101120121101200
4230030223311032200
51234143102111211
633445054001200
73300016505052
oct541453651640
9145441517350
1047457457056
1119143551999
1292454a6200
134624096449
142422ba78d2
15137b563b56
hexb0caf53a0

47457457056 has 72 divisors (see below), whose sum is σ = 138095717760. Its totient is φ = 15451261056.

The previous prime is 47457457051. The next prime is 47457457079. The reversal of 47457457056 is 65075475474.

47457457056 is a `hidden beast` number, since 474 + 5 + 74 + 57 + 0 + 56 = 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 (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 47457456993 and 47457457011.

It is not an unprimeable number, because it can be changed into a prime (47457457051) 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, 1903696 + ... + 1928463.

It is an arithmetic number, because the mean of its divisors is an integer number (1917996080).

Almost surely, 247457457056 is an apocalyptic number.

It is an amenable number.

47457457056 is an abundant number, since it is smaller than the sum of its proper divisors (90638260704).

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

47457457056 is a wasteful number, since it uses less digits than its factorization.

47457457056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3832218 (or 3832207 counting only the distinct ones).

The product of its (nonzero) digits is 16464000, while the sum is 54.

The spelling of 47457457056 in words is "forty-seven billion, four hundred fifty-seven million, four hundred fifty-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 72 86 96 129 144 172 258 288 344 387 516 688 774 1032 1376 1548 2064 3096 4128 6192 12384 3832159 7664318 11496477 15328636 22992954 30657272 34489431 45985908 61314544 68978862 91971816 122629088 137957724 164782837 183943632 275915448 329565674 367887264 494348511 551830896 659131348 988697022 1103661792 1318262696 1483045533 1977394044 2636525392 2966091066 3954788088 5273050784 5932182132 7909576176 11864364264 15819152352 23728728528 47457457056