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48313417216 = 292912725621
BaseRepresentation
bin101100111111101101…
…000011111000000000
311121201001012212222211
4230333231003320000
51242421213322331
634110032111504
73330152161531
oct547755037000
9147631185884
1048313417216
1119542734489
129444095594
13472c51054c
1424a473c688
1513cb7918b1
hexb3fb43e00

48313417216 has 80 divisors (see below), whose sum is σ = 100651415040. Its totient is φ = 23139164160.

The previous prime is 48313417183. The next prime is 48313417219. The reversal of 48313417216 is 61271431384.

48313417216 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 not an unprimeable number, because it can be changed into a prime (48313417219) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1872886 + ... + 1898506.

It is an arithmetic number, because the mean of its divisors is an integer number (1258142688).

Almost surely, 248313417216 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 48313417216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50325707520).

48313417216 is an abundant number, since it is smaller than the sum of its proper divisors (52337997824).

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

48313417216 is a wasteful number, since it uses less digits than its factorization.

48313417216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25795 (or 25779 counting only the distinct ones).

The product of its digits is 96768, while the sum is 40.

The spelling of 48313417216 in words is "forty-eight billion, three hundred thirteen million, four hundred seventeen thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 29 32 58 64 116 127 128 232 254 256 464 508 512 928 1016 1856 2032 3683 3712 4064 7366 7424 8128 14732 14848 16256 25621 29464 32512 51242 58928 65024 102484 117856 204968 235712 409936 471424 743009 819872 942848 1486018 1639744 1885696 2972036 3253867 3279488 5944072 6507734 6558976 11888144 13015468 13117952 23776288 26030936 47552576 52061872 94362143 95105152 104123744 188724286 190210304 208247488 377448572 380420608 416494976 754897144 832989952 1509794288 1665979904 3019588576 6039177152 12078354304 24156708608 48313417216