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47742093630 = 233571119120863
BaseRepresentation
bin101100011101101001…
…101000100100111110
311120020020011122101000
4230131221220210332
51240233433444010
633533222431130
73310044046230
oct543551504476
9146206148330
1047742093630
111927a192630
1293048924a6
13466b04535a
14244c8dc250
15139653a7c0
hexb1da6893e

47742093630 has 256 divisors, whose sum is σ = 167082393600. Its totient is φ = 9398229120.

The previous prime is 47742093629. The next prime is 47742093643. The reversal of 47742093630 is 3639024774.

47742093630 is a `hidden beast` number, since 4 + 7 + 7 + 4 + 2 + 0 + 9 + 3 + 630 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 334579 + ... + 455441.

It is an arithmetic number, because the mean of its divisors is an integer number (652665600).

Almost surely, 247742093630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47742093630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83541196800).

47742093630 is an abundant number, since it is smaller than the sum of its proper divisors (119340299970).

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

47742093630 is a wasteful number, since it uses less digits than its factorization.

47742093630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120916 (or 120910 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The spelling of 47742093630 in words is "forty-seven billion, seven hundred forty-two million, ninety-three thousand, six hundred thirty".