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2145555412 = 22711133111723
BaseRepresentation
bin111111111100010…
…1001001111010100
312112112020111201021
41333320221033110
513343230233122
6552522410524
7104111630410
oct17770511724
95475214637
102145555412
11a011235a0
124ba660a44
1328267b220
14164d47d40
15c85651c7
hex7fe293d4

2145555412 has 96 divisors (see below), whose sum is σ = 5060450304. Its totient is φ = 768700800.

The previous prime is 2145555389. The next prime is 2145555413.

2145555412 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2145555413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1244383 + ... + 1246105.

It is an arithmetic number, because the mean of its divisors is an integer number (52713024).

Almost surely, 22145555412 is an apocalyptic number.

2145555412 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 2145555412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2530225152).

2145555412 is an abundant number, since it is smaller than the sum of its proper divisors (2914894892).

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

2145555412 is a wasteful number, since it uses less digits than its factorization.

2145555412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2069 (or 2067 counting only the distinct ones).

The product of its digits is 40000, while the sum is 34.

The square root of 2145555412 is about 46320.1404574727. The cubic root of 2145555412 is about 1289.7728927360.

It can be divided in two parts, 21455 and 55412, that added together give a palindrome (76867).

The spelling of 2145555412 in words is "two billion, one hundred forty-five million, five hundred fifty-five thousand, four hundred twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 311 364 572 622 1001 1244 1723 2002 2177 3421 3446 4004 4043 4354 6842 6892 8086 8708 12061 13684 16172 18953 22399 23947 24122 28301 37906 44473 44798 47894 48244 56602 75812 88946 89596 95788 113204 132671 156793 177892 246389 265342 311311 313586 492778 530684 535853 622622 627172 985556 1071706 1245244 1724723 2143412 3449446 3750971 5894383 6898892 6966089 7501942 11788766 13932178 15003884 23577532 27864356 41260681 48762623 76626979 82521362 97525246 153253958 165042724 195050492 306507916 536388853 1072777706 2145555412