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13783048848 = 243219922417
BaseRepresentation
bin11001101011000100…
…01010001010010000
31022120120020102112200
430311202022022100
5211211430030343
610155402323200
7665361660612
oct146542121220
938516212480
1013783048848
115933198668
122807ab9500
1313b869b10a
1494a760db2
1555a07b4d3
hex33588a290

13783048848 has 90 divisors (see below), whose sum is σ = 38784243654. Its totient is φ = 4569371136.

The previous prime is 13783048777. The next prime is 13783048871. The reversal of 13783048848 is 84884038731.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 13691808144 + 91240704 = 117012^2 + 9552^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13783048794 and 13783048803.

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 17 ways as a sum of consecutive naturals, for example, 5701336 + ... + 5703752.

Almost surely, 213783048848 is an apocalyptic number.

13783048848 is a gapful number since it is divisible by the number (18) 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 13783048848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19392121827).

13783048848 is an abundant number, since it is smaller than the sum of its proper divisors (25001194806).

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

13783048848 is a wasteful number, since it uses less digits than its factorization.

13783048848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2829 (or 2621 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 13783048848 in words is "thirteen billion, seven hundred eighty-three million, forty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 199 398 597 796 1194 1592 1791 2388 2417 3184 3582 4776 4834 7164 7251 9552 9668 14328 14502 19336 21753 28656 29004 38672 39601 43506 58008 79202 87012 116016 118803 158404 174024 237606 316808 348048 356409 475212 480983 633616 712818 950424 961966 1425636 1442949 1900848 1923932 2851272 2885898 3847864 4328847 5702544 5771796 7695728 8657694 11543592 17315388 23087184 34630776 69261552 95715617 191431234 287146851 382862468 574293702 765724936 861440553 1148587404 1531449872 1722881106 2297174808 3445762212 4594349616 6891524424 13783048848