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47947652640 = 2532533296981
BaseRepresentation
bin101100101001111001…
…110001111000100000
311120202112222010022200
4230221321301320200
51241144044341030
634005444333200
73315121215516
oct545171617040
9146675863280
1047947652640
1119375222108
1293616a4200
1346a17c79c4
14246bd2a4b6
1513a95e1d60
hexb29e71e20

47947652640 has 72 divisors (see below), whose sum is σ = 163621369548. Its totient is φ = 12786040320.

The previous prime is 47947652603. The next prime is 47947652651. The reversal of 47947652640 is 4625674974.

47947652640 is a `hidden beast` number, since 4 + 7 + 9 + 4 + 76 + 526 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 46557555984 + 1390096656 = 215772^2 + 37284^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

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, 16647051 + ... + 16649930.

Almost surely, 247947652640 is an apocalyptic number.

47947652640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47947652640 is an abundant number, since it is smaller than the sum of its proper divisors (115673716908).

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

47947652640 is a wasteful number, since it uses less digits than its factorization.

47947652640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33297002 (or 33296991 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 47947652640 in words is "forty-seven billion, nine hundred forty-seven million, six hundred fifty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 33296981 66593962 99890943 133187924 166484905 199781886 266375848 299672829 332969810 399563772 499454715 532751696 599345658 665939620 799127544 998909430 1065503392 1198691316 1331879240 1498364145 1598255088 1997818860 2397382632 2663758480 2996728290 3196510176 3995637720 4794765264 5327516960 5993456580 7991275440 9589530528 11986913160 15982550880 23973826320 47947652640