Search a number
-
+
2020510211632 = 2411139401205963
BaseRepresentation
bin11101011001101111110…
…010110001111000110000
321011011021211102112222221
4131121233302301320300
5231101001103233012
64144113134010424
7265656061266313
oct35315762617060
97134254375887
102020510211632
11709991381410
12287708946a14
131186c185b083
146db1682897a
153785892c507
hex1d66fcb1e30

2020510211632 has 80 divisors (see below), whose sum is σ = 4312095258240. Its totient is φ = 909528192000.

The previous prime is 2020510211617. The next prime is 2020510211641. The reversal of 2020510211632 is 2361120150202.

It is a junction number, because it is equal to n+sod(n) for n = 2020510211597 and 2020510211606.

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, 9707083 + ... + 9913045.

It is an arithmetic number, because the mean of its divisors is an integer number (53901190728).

Almost surely, 22020510211632 is an apocalyptic number.

2020510211632 is a gapful number since it is divisible by the number (22) 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 2020510211632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2156047629120).

2020510211632 is an abundant number, since it is smaller than the sum of its proper divisors (2291585046608).

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

2020510211632 is a wasteful number, since it uses less digits than its factorization.

2020510211632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206522 (or 206516 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 2020510211632 its reverse (2361120150202), we get a palindrome (4381630361834).

The spelling of 2020510211632 in words is "two trillion, twenty billion, five hundred ten million, two hundred eleven thousand, six hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 44 88 139 176 278 401 556 802 1112 1529 1604 2224 3058 3208 4411 6116 6416 8822 12232 17644 24464 35288 55739 70576 111478 205963 222956 411926 445912 613129 823852 891824 1226258 1647704 2265593 2452516 3295408 4531186 4905032 9062372 9810064 18124744 28628857 36249488 57257714 82591163 114515428 165182326 229030856 314917427 330364652 458061712 629834854 660729304 908502793 1259669708 1321458608 1817005586 2519339416 3634011172 5038678832 7268022344 11480171657 14536044688 22960343314 45920686628 91841373256 126281888227 183682746512 252563776454 505127552908 1010255105816 2020510211632