Search a number
-
+
47220716556 = 223313210724179
BaseRepresentation
bin101011111110100100…
…101111010000001100
311111212220002221111000
4223332210233100030
51233202000412211
633405355500300
73261113316366
oct537644572014
9144786087430
1047220716556
1119031955292
12919a157690
1345b7017100
1423dd57dd36
15136589d656
hexafe92f40c

47220716556 has 144 divisors (see below), whose sum is σ = 133810185600. Its totient is φ = 14393066688.

The previous prime is 47220716539. The next prime is 47220716581. The reversal of 47220716556 is 65561702274.

47220716556 is a `hidden beast` number, since 4 + 7 + 2 + 20 + 71 + 6 + 556 = 666.

It is a super-2 number, since 2×472207165562 (a number of 22 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 1940875 + ... + 1965053.

It is an arithmetic number, because the mean of its divisors is an integer number (929237400).

Almost surely, 247220716556 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 47220716556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66905092800).

47220716556 is an abundant number, since it is smaller than the sum of its proper divisors (86589469044).

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

47220716556 is a wasteful number, since it uses less digits than its factorization.

47220716556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24325 (or 24304 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 47220716556 in words is "forty-seven billion, two hundred twenty million, seven hundred sixteen thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 107 108 117 156 169 214 234 321 338 351 428 468 507 642 676 702 963 1014 1284 1391 1404 1521 1926 2028 2782 2889 3042 3852 4173 4563 5564 5778 6084 8346 9126 11556 12519 16692 18083 18252 24179 25038 36166 37557 48358 50076 54249 72332 72537 75114 96716 108498 145074 150228 162747 216996 217611 290148 314327 325494 435222 488241 628654 650988 652833 870444 942981 976482 1257308 1305666 1885962 1952964 2587153 2611332 2828943 3771924 4086251 5174306 5657886 7761459 8172502 8486829 10348612 11315772 12258753 15522918 16345004 16973658 23284377 24517506 31045836 33632989 33947316 36776259 46568754 49035012 67265978 69853131 73552518 93137508 100898967 110328777 134531956 139706262 147105036 201797934 220657554 279412524 302696901 403595868 437228857 441315108 605393802 874457714 908090703 1210787604 1311686571 1748915428 1816181406 2623373142 3632362812 3935059713 5246746284 7870119426 11805179139 15740238852 23610358278 47220716556