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55539406224 = 24324124792
BaseRepresentation
bin110011101110011010…
…000001010110010000
312022100122012011102100
4303232122001112100
51402221041444344
641303042120400
74004214110061
oct635632012620
9168318164370
1055539406224
1121610601a25
12a920050100
13531159cba3
14298c2c4568
1516a0d4a569
hexcee681590

55539406224 has 135 divisors (see below), whose sum is σ = 159650014849. Its totient is φ = 18023888640.

The previous prime is 55539406201. The next prime is 55539406229. The reversal of 55539406224 is 42260493555.

The square root of 55539406224 is 235668.

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

55539406224 is a `hidden beast` number, since 5 + 553 + 94 + 0 + 6 + 2 + 2 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2676199824 + 52863206400 = 51732^2 + 229920^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 55539406224.

It is not an unprimeable number, because it can be changed into a prime (55539406229) 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, 115948417 + ... + 115948895.

Almost surely, 255539406224 is an apocalyptic number.

55539406224 is the 235668-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55539406224

55539406224 is an abundant number, since it is smaller than the sum of its proper divisors (104110608625).

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

55539406224 is an equidigital number, since it uses as much as digits as its factorization.

55539406224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

Adding to 55539406224 its reverse (42260493555), we get a palindrome (97799899779).

It can be divided in two parts, 5553940 and 6224, that added together give a square (5560164 = 23582).

The spelling of 55539406224 in words is "fifty-five billion, five hundred thirty-nine million, four hundred six thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 82 123 144 164 246 328 369 479 492 656 738 958 984 1437 1476 1681 1916 1968 2874 2952 3362 3832 4311 5043 5748 5904 6724 7664 8622 10086 11496 13448 15129 17244 19639 20172 22992 26896 30258 34488 39278 40344 58917 60516 68976 78556 80688 117834 121032 157112 176751 229441 235668 242064 314224 353502 458882 471336 688323 707004 805199 917764 942672 1376646 1414008 1610398 1835528 2064969 2415597 2753292 2828016 3220796 3671056 4129938 4831194 5506584 6441592 7246791 8259876 9407081 9662388 11013168 12883184 14493582 16519752 18814162 19324776 28221243 28987164 33039504 37628324 38649552 56442486 57974328 75256648 84663729 112884972 115948656 150513296 169327458 225769944 338654916 385690321 451539888 677309832 771380642 1157070963 1354619664 1542761284 2314141926 3085522568 3471212889 4628283852 6171045136 6942425778 9256567704 13884851556 18513135408 27769703112 55539406224