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13884851556 = 22324124792
BaseRepresentation
bin11001110111001101…
…00000010101100100
31022211122210112121100
430323212200111210
5211414010222211
610213440320100
71001036201532
oct147346402544
938748715540
1013884851556
115985700534
122836013030
1314037c32c4
1495a0a1152
15563e8a156
hex33b9a0564

13884851556 has 81 divisors (see below), whose sum is σ = 36050003353. Its totient is φ = 4505972160.

The previous prime is 13884851551. The next prime is 13884851557. The reversal of 13884851556 is 65515848831.

The square root of 13884851556 is 117834.

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

13884851556 is a `hidden beast` number, since 1 + 3 + 8 + 8 + 4 + 85 + 1 + 556 = 666.

It can be written as a sum of positive squares in only one way, i.e., 669049956 + 13215801600 = 25866^2 + 114960^2 .

It is a super-2 number, since 2×138848515562 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13884851551) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 28986925 + ... + 28987403.

Almost surely, 213884851556 is an apocalyptic number.

13884851556 is the 117834-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13884851556

13884851556 is an abundant number, since it is smaller than the sum of its proper divisors (22165151797).

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

13884851556 is an equidigital number, since it uses as much as digits as its factorization.

13884851556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1050 (or 525 counting only the distinct ones).

The product of its digits is 4608000, while the sum is 54.

It can be divided in two parts, 1388485 and 1556, that added together give a square (1390041 = 11792).

The spelling of 13884851556 in words is "thirteen billion, eight hundred eighty-four million, eight hundred fifty-one thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 479 492 738 958 1437 1476 1681 1916 2874 3362 4311 5043 5748 6724 8622 10086 15129 17244 19639 20172 30258 39278 58917 60516 78556 117834 176751 229441 235668 353502 458882 688323 707004 805199 917764 1376646 1610398 2064969 2415597 2753292 3220796 4129938 4831194 7246791 8259876 9407081 9662388 14493582 18814162 28221243 28987164 37628324 56442486 84663729 112884972 169327458 338654916 385690321 771380642 1157070963 1542761284 2314141926 3471212889 4628283852 6942425778 13884851556