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55552830784 = 261136110691
BaseRepresentation
bin110011101111001101…
…001110110101000000
312022101120110012110021
4303233031032311000
51402233011041114
641304241543224
74004436161533
oct635715166500
9168346405407
1055552830784
1121618141000
12a924644b14
1353142c0409
14298ddbaa1a
1516a20ed024
hexcef34ed40

55552830784 has 112 divisors (see below), whose sum is σ = 123252414912. Its totient is φ = 24835008000.

The previous prime is 55552830763. The next prime is 55552830799. The reversal of 55552830784 is 48703825555.

It is a super-3 number, since 3×555528307843 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5190879 + ... + 5201569.

Almost surely, 255552830784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55552830784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61626207456).

55552830784 is an abundant number, since it is smaller than the sum of its proper divisors (67699584128).

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

55552830784 is a wasteful number, since it uses less digits than its factorization.

55552830784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10797 (or 10765 counting only the distinct ones).

The product of its (nonzero) digits is 6720000, while the sum is 52.

The spelling of 55552830784 in words is "fifty-five billion, five hundred fifty-two million, eight hundred thirty thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 32 44 61 64 88 121 122 176 242 244 352 484 488 671 704 968 976 1331 1342 1936 1952 2662 2684 3872 3904 5324 5368 7381 7744 10648 10691 10736 14762 21296 21382 21472 29524 42592 42764 42944 59048 81191 85184 85528 117601 118096 162382 171056 235202 236192 324764 342112 470404 472384 649528 652151 684224 940808 1293611 1299056 1304302 1881616 2587222 2598112 2608604 3763232 5174444 5196224 5217208 7173661 7526464 10348888 10434416 14229721 14347322 20697776 20868832 28459442 28694644 41395552 41737664 56918884 57389288 78910271 82791104 113837768 114778576 157820542 227675536 229557152 315641084 455351072 459114304 631282168 868012981 910702144 1262564336 1736025962 2525128672 3472051924 5050257344 6944103848 13888207696 27776415392 55552830784