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48391378776 = 23331321318087
BaseRepresentation
bin101101000100010110…
…011101011101011000
311121220110220202011000
4231010112131131120
51243101143110101
634121455105000
73332116634646
oct550426353530
9147813822130
1048391378776
1119582743124
129466212160
134742708b50
1424b0c34196
1513d3541486
hexb4459d758

48391378776 has 128 divisors (see below), whose sum is σ = 144846374400. Its totient is φ = 14880827520.

The previous prime is 48391378769. The next prime is 48391378801. The reversal of 48391378776 is 67787319384.

48391378776 is a `hidden beast` number, since 483 + 9 + 1 + 3 + 7 + 87 + 76 = 666.

48391378776 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5979805 + ... + 5987891.

It is an arithmetic number, because the mean of its divisors is an integer number (1131612300).

Almost surely, 248391378776 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 48391378776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72423187200).

48391378776 is an abundant number, since it is smaller than the sum of its proper divisors (96454995624).

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

48391378776 is a wasteful number, since it uses less digits than its factorization.

48391378776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10246 (or 10236 counting only the distinct ones).

The product of its digits is 42674688, while the sum is 63.

The spelling of 48391378776 in words is "forty-eight billion, three hundred ninety-one million, three hundred seventy-eight thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1404 2131 2808 4262 6393 8087 8524 12786 16174 17048 19179 24261 25572 27703 32348 38358 48522 51144 55406 57537 64696 72783 76716 83109 97044 105131 110812 115074 145566 153432 166218 194088 210262 218349 221624 230148 249327 291132 315393 332436 420524 436698 460296 498654 582264 630786 664872 747981 841048 873396 946179 997308 1261572 1495962 1746792 1892358 1994616 2523144 2838537 2991924 3784716 5677074 5983848 7569432 11354148 17233397 22708296 34466794 51700191 68933588 103400382 137867176 155100573 206800764 224034161 310201146 413601528 448068322 465301719 620402292 672102483 896136644 930603438 1240804584 1344204966 1792273288 1861206876 2016307449 2688409932 3722413752 4032614898 5376819864 6048922347 8065229796 12097844694 16130459592 24195689388 48391378776