Search a number
-
+
2063277128 = 231179449661
BaseRepresentation
bin111101011111011…
…0001110001001000
312022210102100010102
41322332301301020
513211144332003
6540423104532
7102062365133
oct17276616110
95283370112
102063277128
11969736710
12496ba2148
1326b600b53
1415804b21a
15c1211588
hex7afb1c48

2063277128 has 64 divisors (see below), whose sum is σ = 4289760000. Its totient is φ = 922521600.

The previous prime is 2063277107. The next prime is 2063277133. The reversal of 2063277128 is 8217723602.

It is a super-2 number, since 2×20632771282 = 8514225013855856768, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2063277091 and 2063277100.

It is an unprimeable number.

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, 3121118 + ... + 3121778.

It is an arithmetic number, because the mean of its divisors is an integer number (67027500).

Almost surely, 22063277128 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 2063277128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2144880000).

2063277128 is an abundant number, since it is smaller than the sum of its proper divisors (2226482872).

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

2063277128 is a wasteful number, since it uses less digits than its factorization.

2063277128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1206 (or 1202 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 38.

The square root of 2063277128 is about 45423.3104033601. The cubic root of 2063277128 is about 1273.0706954155.

The spelling of 2063277128 in words is "two billion, sixty-three million, two hundred seventy-seven thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 11 22 44 79 88 158 316 449 632 661 869 898 1322 1738 1796 2644 3476 3592 4939 5288 6952 7271 9878 14542 19756 29084 35471 39512 52219 58168 70942 104438 141884 208876 283768 296789 390181 417752 574409 593578 780362 1148818 1187156 1560724 2297636 2374312 3121448 3264679 4595272 6529358 13058716 23446331 26117432 46892662 93785324 187570648 257909641 515819282 1031638564 2063277128