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55280354304 = 210372367243
BaseRepresentation
bin110011011110111101…
…110100010000000000
312021200120201221222210
4303132331310100000
51401203232314204
641221225502120
73664620154500
oct633675642000
9167616657883
1055280354304
112149835642a
12a869341940
13529ca0b326
142965b2da00
151688229389
hexcdef74400

55280354304 has 132 divisors (see below), whose sum is σ = 171398650704. Its totient is φ = 15794343936.

The previous prime is 55280354291. The next prime is 55280354317. The reversal of 55280354304 is 40345308255.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (55280354291) and next prime (55280354317).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33094 + ... + 334149.

Almost surely, 255280354304 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 55280354304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85699325352).

55280354304 is an abundant number, since it is smaller than the sum of its proper divisors (116118296400).

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

55280354304 is a wasteful number, since it uses less digits than its factorization.

55280354304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367280 (or 367255 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 39.

The spelling of 55280354304 in words is "fifty-five billion, two hundred eighty million, three hundred fifty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 384 392 448 512 588 672 768 784 896 1024 1176 1344 1536 1568 1792 2352 2688 3072 3136 3584 4704 5376 6272 7168 9408 10752 12544 18816 21504 25088 37632 50176 75264 150528 367243 734486 1101729 1468972 2203458 2570701 2937944 4406916 5141402 5875888 7712103 8813832 10282804 11751776 15424206 17627664 17994907 20565608 23503552 30848412 35255328 35989814 41131216 47007104 53984721 61696824 70510656 71979628 82262432 94014208 107969442 123393648 141021312 143959256 164524864 188028416 215938884 246787296 282042624 287918512 329049728 376056832 431877768 493574592 564085248 575837024 658099456 863755536 987149184 1128170496 1151674048 1316198912 1727511072 1974298368 2303348096 2632397824 3455022144 3948596736 4606696192 6910044288 7897193472 9213392384 13820088576 18426784768 27640177152 55280354304