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4650071040 = 210325100913
BaseRepresentation
bin1000101010010101…
…00111010000000000
3110000001221002021100
410111022213100000
534010404233130
62045231054400
7223142644266
oct42512472000
913001832240
104650071040
111a7693121a
12a99371400
135914cbb34
14321812436
151c3383c60
hex1152a7400

4650071040 has 132 divisors (see below), whose sum is σ = 16112534724. Its totient is φ = 1240006656.

The previous prime is 4650071029. The next prime is 4650071051. The reversal of 4650071040 is 401700564.

4650071040 is a `hidden beast` number, since 4 + 650 + 0 + 7 + 1 + 0 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4650071029) and next prime (4650071051).

It can be written as a sum of positive squares in 2 ways, for example, as 562258944 + 4087812096 = 23712^2 + 63936^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4650070995 and 4650071013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4377 + ... + 96536.

It is an arithmetic number, because the mean of its divisors is an integer number (122064657).

Almost surely, 24650071040 is an apocalyptic number.

4650071040 is a gapful number since it is divisible by the number (40) 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 4650071040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8056267362).

4650071040 is an abundant number, since it is smaller than the sum of its proper divisors (11462463684).

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

4650071040 is a wasteful number, since it uses less digits than its factorization.

4650071040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100944 (or 100923 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 4650071040 is about 68191.4293734924. The cubic root of 4650071040 is about 1669.1160345061.

The spelling of 4650071040 in words is "four billion, six hundred fifty million, seventy-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1024 1152 1280 1440 1536 1920 2304 2560 2880 3072 3840 4608 5120 5760 7680 9216 11520 15360 23040 46080 100913 201826 302739 403652 504565 605478 807304 908217 1009130 1210956 1513695 1614608 1816434 2018260 2421912 3027390 3229216 3632868 4036520 4541085 4843824 6054780 6458432 7265736 8073040 9082170 9687648 12109560 12916864 14531472 16146080 18164340 19375296 24219120 25833728 29062944 32292160 36328680 38750592 48438240 51667456 58125888 64584320 72657360 77501184 96876480 103334912 116251776 129168640 145314720 155002368 193752960 232503552 258337280 290629440 310004736 387505920 465007104 516674560 581258880 775011840 930014208 1162517760 1550023680 2325035520 4650071040