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55838316030016 = 2613455272
BaseRepresentation
bin11001011001000110111101…
…11111011110100001000000
321022201002110020210010111111
430230203132333132201000
524304323332400430031
6314431433535453104
714522120345026522
oct1454433677364100
9238632406703444
1055838316030016
1116878995773853
126319a0b087194
1325206b8990000
14db0835db1a12
1566c7393c11b1
hex32c8defde840

55838316030016 has 105 divisors (see below), whose sum is σ = 120059237254299. Its totient is φ = 25766867632896.

The previous prime is 55838316030001. The next prime is 55838316030023. The reversal of 55838316030016 is 61003061383855.

The square root of 55838316030016 is 7472504.

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

It can be written as a sum of positive squares in 2 ways, for example, as 27685528983616 + 28152787046400 = 5261704^2 + 5305920^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 10102822645 + ... + 10102828171.

Almost surely, 255838316030016 is an apocalyptic number.

55838316030016 is the 7472504-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55838316030016

55838316030016 is an abundant number, since it is smaller than the sum of its proper divisors (64220921224283).

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

55838316030016 is an frugal number, since it uses more digits than its factorization.

55838316030016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11118 (or 5542 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 49.

The spelling of 55838316030016 in words is "fifty-five trillion, eight hundred thirty-eight billion, three hundred sixteen million, thirty thousand, sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 169 208 338 416 676 832 1352 2197 2704 4394 5408 5527 8788 10816 11054 17576 22108 28561 35152 44216 57122 70304 71851 88432 114244 140608 143702 176864 228488 287404 353728 456976 574808 913952 934063 1149616 1827904 1868126 2299232 3736252 4598464 7472504 12142819 14945008 24285638 29890016 30547729 48571276 59780032 61095458 97142552 122190916 157856647 194285104 244381832 315713294 388570208 397120477 488763664 631426588 777140416 794240954 977527328 1262853176 1588481908 1955054656 2525706352 3176963816 5051412704 5162566201 6353927632 10102825408 10325132402 12707855264 20650264804 25415710528 41300529608 67113360613 82601059216 134226721226 165202118432 268453442452 330404236864 536906884904 872473687969 1073813769808 1744947375938 2147627539616 3489894751876 4295255079232 6979789503752 13959579007504 27919158015008 55838316030016