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48383949856 = 25112931152897
BaseRepresentation
bin101101000011111010…
…000111110000100000
311121212221221022120211
4231003322013300200
51243042242343411
634121031543504
73331666534204
oct550372076040
9147787838524
1048383949856
1119579529720
12946382ab94
134741007638
1424adc5cb04
1513d2a75221
hexb43e87c20

48383949856 has 96 divisors (see below), whose sum is σ = 110967252480. Its totient is φ = 20549222400.

The previous prime is 48383949851. The next prime is 48383949869. The reversal of 48383949856 is 65894938384.

It is a junction number, because it is equal to n+sod(n) for n = 48383949791 and 48383949800.

It is not an unprimeable number, because it can be changed into a prime (48383949851) 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, 240000 + ... + 392896.

It is an arithmetic number, because the mean of its divisors is an integer number (1155908880).

Almost surely, 248383949856 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 48383949856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55483626240).

48383949856 is an abundant number, since it is smaller than the sum of its proper divisors (62583302624).

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

48383949856 is a wasteful number, since it uses less digits than its factorization.

48383949856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152978 (or 152970 counting only the distinct ones).

The product of its digits is 179159040, while the sum is 67.

The spelling of 48383949856 in words is "forty-eight billion, three hundred eighty-three million, nine hundred forty-nine thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 29 31 32 44 58 62 88 116 124 176 232 248 319 341 352 464 496 638 682 899 928 992 1276 1364 1798 2552 2728 3596 5104 5456 7192 9889 10208 10912 14384 19778 28768 39556 79112 152897 158224 305794 316448 611588 1223176 1681867 2446352 3363734 4434013 4739807 4892704 6727468 8868026 9479614 13454936 17736052 18959228 26909872 35472104 37918456 48774143 52137877 53819744 70944208 75836912 97548286 104275754 137454403 141888416 151673824 195096572 208551508 274908806 390193144 417103016 549817612 780386288 834206032 1099635224 1511998433 1560772576 1668412064 2199270448 3023996866 4398540896 6047993732 12095987464 24191974928 48383949856