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47480785668 = 22322335660561
BaseRepresentation
bin101100001110000100…
…110100101100000100
311112120000110211020100
4230032010310230010
51234220040120133
633451250004100
73300422006361
oct541604645404
9145500424210
1047480785668
1119155736038
129251276630
134628b73964
142425d1b468
15137d620e13
hexb0e134b04

47480785668 has 36 divisors (see below), whose sum is σ = 120536007228. Its totient is φ = 15758999040.

The previous prime is 47480785591. The next prime is 47480785669. The reversal of 47480785668 is 86658708474.

47480785668 is a `hidden beast` number, since 47 + 480 + 7 + 8 + 56 + 68 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 30353305284 + 17127480384 = 174222^2 + 130872^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (47480785669) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2821893 + ... + 2838668.

It is an arithmetic number, because the mean of its divisors is an integer number (3348222423).

Almost surely, 247480785668 is an apocalyptic number.

It is an amenable number.

47480785668 is an abundant number, since it is smaller than the sum of its proper divisors (73055221560).

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

47480785668 is a wasteful number, since it uses less digits than its factorization.

47480785668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5660804 (or 5660799 counting only the distinct ones).

The product of its (nonzero) digits is 72253440, while the sum is 63.

The spelling of 47480785668 in words is "forty-seven billion, four hundred eighty million, seven hundred eighty-five thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 233 466 699 932 1398 2097 2796 4194 8388 5660561 11321122 16981683 22642244 33963366 50945049 67926732 101890098 203780196 1318910713 2637821426 3956732139 5275642852 7913464278 11870196417 15826928556 23740392834 47480785668