Search a number
-
+
663081708036 = 2231122917987973
BaseRepresentation
bin10011010011000101011…
…11111110101000000100
32100101112022012211221010
421221202233332220010
541330442404124121
61224340542122220
765622532344156
oct11514257765004
92311468184833
10663081708036
11236236379500
12a8614880370
134a6b39a9877
142414412cad6
15123ace04376
hex9a62bfea04

663081708036 has 144 divisors (see below), whose sum is σ = 1769121950400. Its totient is φ = 192919077120.

The previous prime is 663081707993. The next prime is 663081708193. The reversal of 663081708036 is 630807180366.

663081708036 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7493346 + ... + 7581318.

It is an arithmetic number, because the mean of its divisors is an integer number (12285569100).

Almost surely, 2663081708036 is an apocalyptic number.

663081708036 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 663081708036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884560975200).

663081708036 is an abundant number, since it is smaller than the sum of its proper divisors (1106040242364).

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

663081708036 is a wasteful number, since it uses less digits than its factorization.

663081708036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88210 (or 88197 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 663081708036 in words is "six hundred sixty-three billion, eighty-one million, seven hundred eight thousand, thirty-six".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 116 121 132 174 179 242 319 348 358 363 484 537 638 716 726 957 1074 1276 1452 1914 1969 2148 3509 3828 3938 5191 5907 7018 7876 10382 10527 11814 14036 15573 20764 21054 21659 23628 31146 42108 43318 57101 62292 64977 86636 87973 114202 129954 171303 175946 228404 259908 263919 342606 351892 527838 628111 685212 967703 1055676 1256222 1884333 1935406 2512444 2551217 2903109 3768666 3870812 5102434 5806218 7537332 7653651 10204868 10644733 11612436 15307302 15747167 21289466 28063387 30614604 31494334 31934199 42578932 47241501 56126774 62988668 63868398 84190161 94483002 112253548 127736796 168380322 173218837 188966004 308697257 336760644 346437674 456667843 519656511 617394514 692875348 913335686 926091771 1039313022 1234789028 1370003529 1826671372 1852183542 1905407207 2078626044 2740007058 3704367084 3810814414 5023346273 5480014116 5716221621 7621628828 10046692546 11432443242 15070038819 20093385092 22864886484 30140077638 55256809003 60280155276 110513618006 165770427009 221027236012 331540854018 663081708036