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2063120016 = 243199972269
BaseRepresentation
bin111101011111000…
…1011011010010000
312022210010100121110
41322332023122100
513211124320031
6540415453320
7102061142106
oct17276133220
95283110543
102063120016
11969639671
12496b27240
1326b577499
14158009c76
15c11cec46
hex7af8b690

2063120016 has 80 divisors (see below), whose sum is σ = 5618340800. Its totient is φ = 650571264.

The previous prime is 2063120011. The next prime is 2063120023. The reversal of 2063120016 is 6100213602.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2063119974 and 2063120001.

It is not an unprimeable number, because it can be changed into a prime (2063120011) by changing a digit.

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, 908130 + ... + 910398.

It is an arithmetic number, because the mean of its divisors is an integer number (70229260).

Almost surely, 22063120016 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 2063120016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2809170400).

2063120016 is an abundant number, since it is smaller than the sum of its proper divisors (3555220784).

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

2063120016 is a wasteful number, since it uses less digits than its factorization.

2063120016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3296 (or 3290 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 2063120016 is about 45421.5809500286. The cubic root of 2063120016 is about 1273.0383811653.

Adding to 2063120016 its reverse (6100213602), we get a palindrome (8163333618).

The spelling of 2063120016 in words is "two billion, sixty-three million, one hundred twenty thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 997 1994 2269 2991 3988 4538 5982 6807 7976 9076 11964 13614 15952 18152 18943 23928 27228 36304 37886 43111 47856 54456 56829 75772 86222 108912 113658 129333 151544 172444 227316 258666 303088 344888 454632 517332 689776 909264 1034664 2069328 2262193 4524386 6786579 9048772 13573158 18097544 27146316 36195088 42981667 54292632 85963334 108585264 128945001 171926668 257890002 343853336 515780004 687706672 1031560008 2063120016