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48806298896 = 2429317389853
BaseRepresentation
bin101101011101000101…
…010000010100010000
311122222101122212112212
4231131011100110100
51244423403031041
634231000211252
73345315460415
oct553505202420
9148871585485
1048806298896
1119775979813
129561169b28
1347aa672604
14250dda010c
151409ba08eb
hexb5d150510

48806298896 has 80 divisors (see below), whose sum is σ = 98499164400. Its totient is φ = 23399491584.

The previous prime is 48806298889. The next prime is 48806298911. The reversal of 48806298896 is 69889260884.

It can be written as a sum of positive squares in 8 ways, for example, as 18889753600 + 29916545296 = 137440^2 + 172964^2 .

It is a super-3 number, since 3×488062988963 (a number of 33 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57216806 + ... + 57217658.

It is an arithmetic number, because the mean of its divisors is an integer number (1231239555).

Almost surely, 248806298896 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 48806298896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49249582200).

48806298896 is an abundant number, since it is smaller than the sum of its proper divisors (49692865504).

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

48806298896 is a wasteful number, since it uses less digits than its factorization.

48806298896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1596 (or 1590 counting only the distinct ones).

The product of its (nonzero) digits is 95551488, while the sum is 68.

The spelling of 48806298896 in words is "forty-eight billion, eight hundred six million, two hundred ninety-eight thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 29 58 116 232 317 389 464 634 778 853 1268 1556 1706 2536 3112 3412 5072 6224 6824 9193 11281 13648 18386 22562 24737 36772 45124 49474 73544 90248 98948 123313 147088 180496 197896 246626 270401 331817 395792 493252 540802 663634 986504 1081604 1327268 1973008 2163208 2654536 3576077 4326416 5309072 7152154 7841629 9622693 14304308 15683258 19245386 28608616 31366516 38490772 57217232 62733032 76981544 105185989 125466064 153963088 210371978 420743956 841487912 1682975824 3050393681 6100787362 12201574724 24403149448 48806298896