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13775247424 = 261728632
BaseRepresentation
bin11001101010001000…
…11001100001000000
31022120000120002000001
430311010121201000
5211202430404144
610154523205344
7665235446131
oct146504314100
938500502001
1013775247424
11592984a304
122805376854
1313b6b991a3
149496cdc88
15559539bd4
hex335119840

13775247424 has 63 divisors (see below), whose sum is σ = 29071485037. Its totient is φ = 6474957824.

The previous prime is 13775247401. The next prime is 13775247443. The reversal of 13775247424 is 42474257731.

The square root of 13775247424 is 117368.

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

It can be written as a sum of positive squares in only one way, i.e., 10724673600 + 3050573824 = 103560^2 + 55232^2 .

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, 15961617 + ... + 15962479.

Almost surely, 213775247424 is an apocalyptic number.

13775247424 is the 117368-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13775247424

13775247424 is an abundant number, since it is smaller than the sum of its proper divisors (15296237613).

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

13775247424 is an frugal number, since it uses more digits than its factorization.

13775247424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1772 (or 882 counting only the distinct ones).

The product of its digits is 1317120, while the sum is 46.

The spelling of 13775247424 in words is "thirteen billion, seven hundred seventy-five million, two hundred forty-seven thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 289 544 578 863 1088 1156 1726 2312 3452 4624 6904 9248 13808 14671 18496 27616 29342 55232 58684 117368 234736 249407 469472 498814 744769 938944 997628 1489538 1995256 2979076 3990512 5958152 7981024 11916304 12661073 15962048 23832608 25322146 47665216 50644292 101288584 202577168 215238241 405154336 430476482 810308672 860952964 1721905928 3443811856 6887623712 13775247424