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4664052864 = 27328348779
BaseRepresentation
bin1000101011111111…
…11100110010000000
3110001001020102201200
410111333330302000
534022444142424
62050450501200
7223402536522
oct42577746200
913031212650
104664052864
111a83810a49
12aa1b94800
13594385bc3
14323611a12
151c46e68c9
hex115ffcc80

4664052864 has 96 divisors (see below), whose sum is σ = 13583278800. Its totient is φ = 1535921664.

The previous prime is 4664052857. The next prime is 4664052881. The reversal of 4664052864 is 4682504664.

4664052864 is a `hidden beast` number, since 4 + 6 + 64 + 0 + 528 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71227 + ... + 120005.

Almost surely, 24664052864 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 4664052864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6791639400).

4664052864 is an abundant number, since it is smaller than the sum of its proper divisors (8919225936).

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

4664052864 is a wasteful number, since it uses less digits than its factorization.

4664052864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48882 (or 48867 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The square root of 4664052864 is about 68293.8713502171. The cubic root of 4664052864 is about 1670.7872588275.

The spelling of 4664052864 in words is "four billion, six hundred sixty-four million, fifty-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 83 96 128 144 166 192 249 288 332 384 498 576 664 747 996 1152 1328 1494 1992 2656 2988 3984 5312 5976 7968 10624 11952 15936 23904 31872 47808 48779 95616 97558 146337 195116 292674 390232 439011 585348 780464 878022 1170696 1560928 1756044 2341392 3121856 3512088 4048657 4682784 6243712 7024176 8097314 9365568 12145971 14048352 16194628 18731136 24291942 28096704 32389256 36437913 48583884 56193408 64778512 72875826 97167768 129557024 145751652 194335536 259114048 291503304 388671072 518228096 583006608 777342144 1166013216 1554684288 2332026432 4664052864