Search a number
-
+
56018363760 = 24325471655389
BaseRepresentation
bin110100001010111101…
…000110010101110000
312100121000102201122100
4310022331012111300
51404211200120020
641422351540400
74022121143532
oct641275062560
9170530381570
1056018363760
11218369a68a7
12aa3452a700
135389898208
1429d5b5d852
1516cce08a90
hexd0af46570

56018363760 has 120 divisors (see below), whose sum is σ = 192131184960. Its totient is φ = 14620386816.

The previous prime is 56018363743. The next prime is 56018363761. The reversal of 56018363760 is 6736381065.

56018363760 is a `hidden beast` number, since 5 + 6 + 0 + 1 + 8 + 3 + 637 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56018363761) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 793855 + ... + 861534.

It is an arithmetic number, because the mean of its divisors is an integer number (1601093208).

Almost surely, 256018363760 is an apocalyptic number.

It is an amenable number.

56018363760 is an abundant number, since it is smaller than the sum of its proper divisors (136112821200).

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

56018363760 is a wasteful number, since it uses less digits than its factorization.

56018363760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1655455 (or 1655446 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 56018363760 in words is "fifty-six billion, eighteen million, three hundred sixty-three thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 47 48 60 72 80 90 94 120 141 144 180 188 235 240 282 360 376 423 470 564 705 720 752 846 940 1128 1410 1692 1880 2115 2256 2820 3384 3760 4230 5640 6768 8460 11280 16920 33840 1655389 3310778 4966167 6621556 8276945 9932334 13243112 14898501 16553890 19864668 24830835 26486224 29797002 33107780 39729336 49661670 59594004 66215560 74492505 77803283 79458672 99323340 119188008 132431120 148985010 155606566 198646680 233409849 238376016 297970020 311213132 389016415 397293360 466819698 595940040 622426264 700229547 778032830 933639396 1167049245 1191880080 1244852528 1400459094 1556065660 1867278792 2334098490 2800918188 3112131320 3501147735 3734557584 4668196980 5601836376 6224262640 7002295470 9336393960 11203672752 14004590940 18672787920 28009181880 56018363760