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48318362016 = 253898636553
BaseRepresentation
bin101100111111111111…
…111011000110100000
311121201101112002222120
4230333333323012200
51242424000041031
634110330104240
73330242205051
oct547777730640
9147641462876
1048318362016
11195455015a1
12944587b080
134730552172
1424a5268728
1513cbe1ba96
hexb3fffb1a0

48318362016 has 96 divisors (see below), whose sum is σ = 128429038080. Its totient is φ = 15904272384.

The previous prime is 48318361943. The next prime is 48318362021. The reversal of 48318362016 is 61026381384.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7370196 + ... + 7376748.

It is an arithmetic number, because the mean of its divisors is an integer number (1337802480).

Almost surely, 248318362016 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 48318362016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64214519040).

48318362016 is an abundant number, since it is smaller than the sum of its proper divisors (80110676064).

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

48318362016 is a wasteful number, since it uses less digits than its factorization.

48318362016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7518 (or 7510 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 48318362016 in words is "forty-eight billion, three hundred eighteen million, three hundred sixty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 89 96 178 267 356 534 712 863 1068 1424 1726 2136 2589 2848 3452 4272 5178 6553 6904 8544 10356 13106 13808 19659 20712 26212 27616 39318 41424 52424 76807 78636 82848 104848 153614 157272 209696 230421 307228 314544 460842 583217 614456 629088 921684 1166434 1228912 1749651 1843368 2332868 2457824 3499302 3686736 4665736 5655239 6998604 7373472 9331472 11310478 13997208 16965717 18662944 22620956 27994416 33931434 45241912 55988832 67862868 90483824 135725736 180967648 271451472 503316271 542902944 1006632542 1509948813 2013265084 3019897626 4026530168 6039795252 8053060336 12079590504 16106120672 24159181008 48318362016