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4660220664 = 2332119760661
BaseRepresentation
bin1000101011100010…
…10101001011111000
3110000210000201221100
410111301111023320
534021004030124
62050232411400
7223325136111
oct42561251370
913023021840
104660220664
111a81633840
12aa0846b60
13593643828
14322cd5208
151c41db1c9
hex115c552f8

4660220664 has 96 divisors (see below), whose sum is σ = 13911009840. Its totient is φ = 1397606400.

The previous prime is 4660220639. The next prime is 4660220717.

4660220664 is a `hidden beast` number, since 46 + 602 + 2 + 0 + 6 + 6 + 4 = 666.

4660220664 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46494 + ... + 107154.

Almost surely, 24660220664 is an apocalyptic number.

4660220664 is a gapful number since it is divisible by the number (44) 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 4660220664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6955504920).

4660220664 is an abundant number, since it is smaller than the sum of its proper divisors (9250789176).

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

4660220664 is a wasteful number, since it uses less digits than its factorization.

4660220664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60781 (or 60774 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 4660220664 is about 68265.8088943506. The cubic root of 4660220664 is about 1670.3295349316.

The spelling of 4660220664 in words is "four billion, six hundred sixty million, two hundred twenty thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 97 99 132 194 198 264 291 388 396 582 776 792 873 1067 1164 1746 2134 2328 3201 3492 4268 6402 6984 8536 9603 12804 19206 25608 38412 60661 76824 121322 181983 242644 363966 485288 545949 667271 727932 1091898 1334542 1455864 2001813 2183796 2669084 4003626 4367592 5338168 5884117 6005439 8007252 11768234 12010878 16014504 17652351 23536468 24021756 35304702 47072936 48043512 52957053 64725287 70609404 105914106 129450574 141218808 194175861 211828212 258901148 388351722 423656424 517802296 582527583 776703444 1165055166 1553406888 2330110332 4660220664