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11502214144 = 210173132111
BaseRepresentation
bin10101011011001010…
…11101110000000000
31002200121110000112021
422231211131300000
5142024031323034
65141204211224
7555015131011
oct125545356000
932617400467
1011502214144
114972777803
122290099b14
131113ca6495
147b1881008
15474be36b4
hex2ad95dc00

11502214144 has 88 divisors (see below), whose sum is σ = 24435088128. Its totient is φ = 5392957440.

The previous prime is 11502214133. The next prime is 11502214181. The reversal of 11502214144 is 44141220511.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5447649 + ... + 5449759.

It is an arithmetic number, because the mean of its divisors is an integer number (277671456).

Almost surely, 211502214144 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 11502214144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12217544064).

11502214144 is an abundant number, since it is smaller than the sum of its proper divisors (12932873984).

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

11502214144 is a wasteful number, since it uses less digits than its factorization.

11502214144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2461 (or 2443 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

Adding to 11502214144 its reverse (44141220511), we get a palindrome (55643434655).

The spelling of 11502214144 in words is "eleven billion, five hundred two million, two hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 313 512 544 626 1024 1088 1252 2111 2176 2504 4222 4352 5008 5321 8444 8704 10016 10642 16888 17408 20032 21284 33776 35887 40064 42568 67552 71774 80128 85136 135104 143548 160256 170272 270208 287096 320512 340544 540416 574192 660743 681088 1080832 1148384 1321486 1362176 2161664 2296768 2642972 2724352 4593536 5285944 5448704 9187072 10571888 11232631 18374144 21143776 22465262 36748288 42287552 44930524 84575104 89861048 169150208 179722096 338300416 359444192 676600832 718888384 1437776768 2875553536 5751107072 11502214144