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47608420950 = 233521773157181
BaseRepresentation
bin101100010101101011…
…101101101001010110
311112212220122100221000
4230111223231221112
51240000223432300
633512045404130
73303531621036
oct542553555126
9145786570830
1047608420950
1119210792342
129287b69646
134649441cac
142438c638c6
151389933c00
hexb15aeda56

47608420950 has 384 divisors, whose sum is σ = 142487130240. Its totient is φ = 11645337600.

The previous prime is 47608420943. The next prime is 47608420957. The reversal of 47608420950 is 5902480674.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (47608420943) and next prime (47608420957).

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

It is a junction number, because it is equal to n+sod(n) for n = 47608420896 and 47608420905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47608420957) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 263029860 + ... + 263030040.

It is an arithmetic number, because the mean of its divisors is an integer number (371060235).

Almost surely, 247608420950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47608420950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71243565120).

47608420950 is an abundant number, since it is smaller than the sum of its proper divisors (94878709290).

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

47608420950 is a wasteful number, since it uses less digits than its factorization.

47608420950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 47608420950 in words is "forty-seven billion, six hundred eight million, four hundred twenty thousand, nine hundred fifty".