Search a number
-
+
565766636820864 = 2732162116814411
BaseRepresentation
bin1000000010100011111100111…
…1011010011101100110000000
32202012012202120200111220222020
42000220333033122131212000
51043124010033011231424
65323141334352241440
7230112201452341623
oct20050771732354600
92665182520456866
10565766636820864
111542a8312a85906
1253555445b40280
131b38c7461b768b
149d9d373911dba
154561d4dea8079
hex2028fcf69d980

565766636820864 has 64 divisors (see below), whose sum is σ = 1502824800290880. Its totient is φ = 188587979020800.

The previous prime is 565766636820863. The next prime is 565766636820877. The reversal of 565766636820864 is 468028636667565.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 565766636820864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (565766636820863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79617819 + ... + 86432229.

It is an arithmetic number, because the mean of its divisors is an integer number (23481637504545).

Almost surely, 2565766636820864 is an apocalyptic number.

It is an amenable number.

565766636820864 is an abundant number, since it is smaller than the sum of its proper divisors (937058163470016).

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

565766636820864 is a wasteful number, since it uses less digits than its factorization.

565766636820864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7030639 (or 7030627 counting only the distinct ones).

The product of its (nonzero) digits is 12541132800, while the sum is 78.

The spelling of 565766636820864 in words is "five hundred sixty-five trillion, seven hundred sixty-six billion, six hundred thirty-six million, eight hundred twenty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 216211 432422 648633 864844 1297266 1729688 2594532 3459376 5189064 6814411 6918752 10378128 13628822 13837504 20443233 20756256 27257644 27675008 40886466 41512512 54515288 81772932 83025024 109030576 163545864 218061152 327091728 436122304 654183456 872244608 1308366912 2616733824 1473350616721 2946701233442 4420051850163 5893402466884 8840103700326 11786804933768 17680207400652 23573609867536 35360414801304 47147219735072 70720829602608 94294439470144 141441659205216 188588878940288 282883318410432 565766636820864