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64189414184 = 23731372334289
BaseRepresentation
bin111011110001111111…
…001011101100101000
320010200110201002121112
4323301333023230220
52022424442223214
645253241525452
74431450006140
oct736177135450
9203613632545
1064189414184
112524a283a35
1210534aa3888
13608c69a7ac
14316d031920
151a0a440a3e
hexef1fcbb28

64189414184 has 128 divisors (see below), whose sum is σ = 146483251200. Its totient is φ = 25785630720.

The previous prime is 64189414129. The next prime is 64189414189. The reversal of 64189414184 is 48141498146.

It is not an unprimeable number, because it can be changed into a prime (64189414189) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14963912 + ... + 14968200.

It is an arithmetic number, because the mean of its divisors is an integer number (1144400400).

Almost surely, 264189414184 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 64189414184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73241625600).

64189414184 is an abundant number, since it is smaller than the sum of its proper divisors (82293837016).

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

64189414184 is a wasteful number, since it uses less digits than its factorization.

64189414184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4603 (or 4599 counting only the distinct ones).

The product of its digits is 884736, while the sum is 50.

The spelling of 64189414184 in words is "sixty-four billion, one hundred eighty-nine million, four hundred fourteen thousand, one hundred eighty-four".

Divisors: 1 2 4 7 8 14 28 31 37 56 62 74 124 148 217 233 248 259 296 434 466 518 868 932 1036 1147 1631 1736 1864 2072 2294 3262 4289 4588 6524 7223 8029 8578 8621 9176 13048 14446 16058 17156 17242 28892 30023 32116 34312 34484 50561 57784 60046 60347 64232 68968 101122 120092 120694 132959 158693 202244 240184 241388 265918 267251 317386 404488 482776 531836 534502 634772 930713 999337 1063672 1069004 1110851 1269544 1861426 1870757 1998674 2138008 2221702 3722852 3741514 3997348 4443404 4919483 6995359 7445704 7483028 7994696 8886808 9838966 13990718 14966056 19677932 27981436 30979447 34436381 36975469 39355864 55962872 61958894 68872762 73950938 123917788 137745524 147901876 216856129 247835576 258828283 275491048 295803752 433712258 517656566 867424516 1035313132 1146239539 1734849032 2070626264 2292479078 4584958156 8023676773 9169916312 16047353546 32094707092 64189414184