Search a number
-
+
48968922496 = 2713471036079
BaseRepresentation
bin101101100110110001…
…100111010110000000
311200101201200000012011
4231212301213112000
51300242021004441
634255045542304
73352331654614
oct554661472600
9150351600164
1048968922496
111984975328a
1295a7714994
1348052712b0
142527813344
1514190c5581
hexb66c67580

48968922496 has 128 divisors (see below), whose sum is σ = 108354355200. Its totient is φ = 21901805568.

The previous prime is 48968922479. The next prime is 48968922503. The reversal of 48968922496 is 69422986984.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 8052385 + ... + 8058463.

It is an arithmetic number, because the mean of its divisors is an integer number (846518400).

Almost surely, 248968922496 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 48968922496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54177177600).

48968922496 is an abundant number, since it is smaller than the sum of its proper divisors (59385432704).

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

48968922496 is a wasteful number, since it uses less digits than its factorization.

48968922496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6256 (or 6244 counting only the distinct ones).

The product of its digits is 107495424, while the sum is 67.

The spelling of 48968922496 in words is "forty-eight billion, nine hundred sixty-eight million, nine hundred twenty-two thousand, four hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 32 47 52 64 94 103 104 128 188 206 208 376 412 416 611 752 824 832 1222 1339 1504 1648 1664 2444 2678 3008 3296 4841 4888 5356 6016 6079 6592 9682 9776 10712 12158 13184 19364 19552 21424 24316 38728 39104 42848 48632 62933 77456 78208 79027 85696 97264 125866 154912 158054 171392 194528 251732 285713 309824 316108 389056 503464 571426 619648 626137 632216 778112 1006928 1142852 1252274 1264432 2013856 2285704 2504548 2528864 3714269 4027712 4571408 5009096 5057728 7428538 8055424 8139781 9142816 10018192 10115456 14857076 16279562 18285632 20036384 29428439 29714152 32559124 36571264 40072768 58856878 59428304 65118248 80145536 117713756 118856608 130236496 235427512 237713216 260472992 382569707 470855024 475426432 520945984 765139414 941710048 1041891968 1530278828 1883420096 3060557656 3766840192 6121115312 12242230624 24484461248 48968922496