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47919769440 = 25357910312269
BaseRepresentation
bin101100101000001111…
…011010011101100000
311120200121111111202120
4230220033122131200
51241114430110230
634003010544240
73314332214424
oct545017323540
9146617444676
1047919769440
1119360508044
129354298080
134698ab437a
14246834cb84
1513a6e35310
hexb283da760

47919769440 has 192 divisors, whose sum is σ = 154354636800. Its totient is φ = 12493338624.

The previous prime is 47919769433. The next prime is 47919769453. The reversal of 47919769440 is 4496791974.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 3899626 + ... + 3911894.

It is an arithmetic number, because the mean of its divisors is an integer number (803930400).

Almost surely, 247919769440 is an apocalyptic number.

47919769440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47919769440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77177318400).

47919769440 is an abundant number, since it is smaller than the sum of its proper divisors (106434867360).

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

47919769440 is a wasteful number, since it uses less digits than its factorization.

47919769440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12469 (or 12461 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 60.

The spelling of 47919769440 in words is "forty-seven billion, nine hundred nineteen million, seven hundred sixty-nine thousand, four hundred forty".