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48410809216 = 2771123213557
BaseRepresentation
bin101101000101100000…
…100101001110000000
311121221211110220200221
4231011200211032000
51243121131343331
634123431352424
73332444042320
oct550540451600
9147854426627
1048410809216
1119592704540
129470822714
13474674cc53
1424b3651280
1513d50cd711
hexb45825380

48410809216 has 128 divisors (see below), whose sum is σ = 125469596160. Its totient is φ = 18041210880.

The previous prime is 48410809189. The next prime is 48410809229. The reversal of 48410809216 is 61290801484.

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 (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119910 + ... + 333466.

It is an arithmetic number, because the mean of its divisors is an integer number (980231220).

Almost surely, 248410809216 is an apocalyptic number.

48410809216 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48410809216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62734798080).

48410809216 is an abundant number, since it is smaller than the sum of its proper divisors (77058786944).

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

48410809216 is a wasteful number, since it uses less digits than its factorization.

48410809216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213612 (or 213600 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 43.

The spelling of 48410809216 in words is "forty-eight billion, four hundred ten million, eight hundred nine thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 11 14 16 22 23 28 32 44 46 56 64 77 88 92 112 128 154 161 176 184 224 253 308 322 352 368 448 506 616 644 704 736 896 1012 1232 1288 1408 1472 1771 2024 2464 2576 2944 3542 4048 4928 5152 7084 8096 9856 10304 14168 16192 20608 28336 32384 56672 113344 213557 226688 427114 854228 1494899 1708456 2349127 2989798 3416912 4698254 4911811 5979596 6833824 9396508 9823622 11959192 13667648 16443889 18793016 19647244 23918384 27335296 32887778 34382677 37586032 39294488 47836768 54029921 65775556 68765354 75172064 78588976 95673536 108059842 131551112 137530708 150344128 157177952 191347072 216119684 263102224 275061416 300688256 314355904 378209447 432239368 526204448 550122832 628711808 756418894 864478736 1052408896 1100245664 1512837788 1728957472 2104817792 2200491328 3025675576 3457914944 4400982656 6051351152 6915829888 12102702304 24205404608 48410809216