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47631753009 = 3223231632
BaseRepresentation
bin101100010111000100…
…101101111100110001
311112221112112202111100
4230113010231330301
51240022212044014
633514241435013
73304234135401
oct542704557461
9145845482440
1047631753009
1119222979035
12929393ba69
134651220c49
14243bdb8801
15138b9e2009
hexb1712df31

47631753009 has 27 divisors (see below), whose sum is σ = 71945592537. Its totient is φ = 30364268616.

The previous prime is 47631752977. The next prime is 47631753017. The reversal of 47631753009 is 90035713674.

The square root of 47631753009 is 218247.

It is a perfect power (a square), and thus also a powerful number.

47631753009 is a `hidden beast` number, since 4 + 7 + 631 + 7 + 5 + 3 + 0 + 0 + 9 = 666.

It is not a de Polignac number, because 47631753009 - 25 = 47631752977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (47631753509) 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 26 ways as a sum of consecutive naturals, for example, 15057462 + ... + 15060624.

Almost surely, 247631753009 is an apocalyptic number.

47631753009 is the 218247-th square number.

47631753009 is the 109124-th centered octagonal number.

It is an amenable number.

47631753009 is a deficient number, since it is larger than the sum of its proper divisors (24313839528).

47631753009 is an frugal number, since it uses more digits than its factorization.

47631753009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6378 (or 3189 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The spelling of 47631753009 in words is "forty-seven billion, six hundred thirty-one million, seven hundred fifty-three thousand, nine".

Divisors: 1 3 9 23 69 207 529 1587 3163 4761 9489 28467 72749 218247 654741 1673227 5019681 10004569 15059043 30013707 90041121 230105087 690315261 2070945783 5292417001 15877251003 47631753009