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11481551104 = 283721812
BaseRepresentation
bin10101011000101101…
…01001000100000000
31002122011120020011111
422230112221010000
5142003234113404
65135145253104
7554344400632
oct125426510400
932564506144
1011481551104
114962044311
122285194194
13110c92032a
147acc22a52
15472eb1104
hex2ac5a9100

11481551104 has 81 divisors (see below), whose sum is σ = 23685259311. Its totient is φ = 5554759680.

The previous prime is 11481551083. The next prime is 11481551113. The reversal of 11481551104 is 40115518411.

The square root of 11481551104 is 107152.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 572166400 + 10909384704 = 23920^2 + 104448^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 63433894 + ... + 63434074.

Almost surely, 211481551104 is an apocalyptic number.

11481551104 is the 107152-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11481551104

11481551104 is an abundant number, since it is smaller than the sum of its proper divisors (12203708207).

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

11481551104 is an frugal number, since it uses more digits than its factorization.

11481551104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 31.

The spelling of 11481551104 in words is "eleven billion, four hundred eighty-one million, five hundred fifty-one thousand, one hundred four".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 181 256 296 362 592 724 1184 1369 1448 2368 2738 2896 4736 5476 5792 6697 9472 10952 11584 13394 21904 23168 26788 32761 43808 46336 53576 65522 87616 107152 131044 175232 214304 247789 262088 350464 428608 495578 524176 857216 991156 1048352 1212157 1714432 1982312 2096704 2424314 3964624 4193408 4848628 7929248 8386816 9697256 15858496 19394512 31716992 38789024 44849809 63433984 77578048 89699618 155156096 179399236 310312192 358798472 717596944 1435193888 2870387776 5740775552 11481551104