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2153443512 = 2331137449491
BaseRepresentation
bin1000000001011010…
…1111000010111000
312120002002021011010
42000112233002320
513402240143022
6553403433520
7104235652653
oct20026570270
95502067133
102153443512
11a05620a90
125012258a0
132841b073c
14165ddc89a
15c90c250c
hex805af0b8

2153443512 has 128 divisors (see below), whose sum is σ = 6057504000. Its totient is φ = 632217600.

The previous prime is 2153443469. The next prime is 2153443519.

2153443512 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 2153443512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2153443519) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4385587 + ... + 4386077.

It is an arithmetic number, because the mean of its divisors is an integer number (47324250).

Almost surely, 22153443512 is an apocalyptic number.

2153443512 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 2153443512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3028752000).

2153443512 is an abundant number, since it is smaller than the sum of its proper divisors (3904060488).

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

2153443512 is a wasteful number, since it uses less digits than its factorization.

2153443512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997 (or 993 counting only the distinct ones).

The product of its digits is 14400, while the sum is 30.

The square root of 2153443512 is about 46405.2099661234. The cubic root of 2153443512 is about 1291.3515694264.

The spelling of 2153443512 in words is "two billion, one hundred fifty-three million, four hundred forty-three thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 37 44 66 74 88 111 132 148 222 264 296 407 444 449 491 814 888 898 982 1221 1347 1473 1628 1796 1964 2442 2694 2946 3256 3592 3928 4884 4939 5388 5401 5892 9768 9878 10776 10802 11784 14817 16203 16613 18167 19756 21604 29634 32406 33226 36334 39512 43208 49839 54501 59268 64812 66452 72668 99678 109002 118536 129624 132904 145336 182743 199356 199837 218004 220459 365486 398712 399674 436008 440918 548229 599511 661377 730972 799348 881836 1096458 1199022 1322754 1461944 1598696 1763672 2192916 2398044 2425049 2645508 4385832 4796088 4850098 5291016 7275147 8156983 9700196 14550294 16313966 19400392 24470949 29100588 32627932 48941898 58201176 65255864 89726813 97883796 179453626 195767592 269180439 358907252 538360878 717814504 1076721756 2153443512