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48943234984 = 23719151304631
BaseRepresentation
bin101101100101001111…
…100111111110101000
311200022221022221112211
4231211033213332220
51300213432004414
634252331214504
73351600430120
oct554517477650
9150287287484
1048943234984
11198361a8936
12959aba7434
1347ccb49197
142524247c80
151416bee3c4
hexb653e7fa8

48943234984 has 64 divisors (see below), whose sum is σ = 111129753600. Its totient is φ = 19740024000.

The previous prime is 48943234979. The next prime is 48943234987.

It is a happy number.

48943234984 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (48943234987) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8349 + ... + 312979.

It is an arithmetic number, because the mean of its divisors is an integer number (1736402400).

Almost surely, 248943234984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48943234984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55564876800).

48943234984 is an abundant number, since it is smaller than the sum of its proper divisors (62186518616).

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

48943234984 is a wasteful number, since it uses less digits than its factorization.

48943234984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304814 (or 304810 counting only the distinct ones).

The product of its digits is 23887872, while the sum is 58.

The spelling of 48943234984 in words is "forty-eight billion, nine hundred forty-three million, two hundred thirty-four thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 151 152 266 302 532 604 1057 1064 1208 2114 2869 4228 5738 8456 11476 20083 22952 40166 80332 160664 304631 609262 1218524 2132417 2437048 4264834 5787989 8529668 11575978 17059336 23151956 40515923 45999281 46303912 81031846 91998562 162063692 183997124 321994967 324127384 367994248 643989934 873986339 1287979868 1747972678 2575959736 3495945356 6117904373 6991890712 12235808746 24471617492 48943234984