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5164550640 = 2432523311869
BaseRepresentation
bin1001100111101010…
…01100100111110000
3111022221000100121100
410303311030213300
541034111110030
62212250124400
7241660645644
oct46365144760
914287010540
105164550640
112210288377
121001720700
13643c83732
1436dc96c24
1520360c360
hex133d4c9f0

5164550640 has 120 divisors (see below), whose sum is σ = 18098439840. Its totient is φ = 1317330432.

The previous prime is 5164550627. The next prime is 5164550641. The reversal of 5164550640 is 460554615.

5164550640 is a `hidden beast` number, since 5 + 1 + 6 + 4 + 5 + 5 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 5164550595 and 5164550604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5164550641) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 139375 + ... + 172494.

It is an arithmetic number, because the mean of its divisors is an integer number (150820332).

Almost surely, 25164550640 is an apocalyptic number.

It is an amenable number.

5164550640 is an abundant number, since it is smaller than the sum of its proper divisors (12933889200).

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

5164550640 is a wasteful number, since it uses less digits than its factorization.

5164550640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311911 (or 311902 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 5164550640 is about 71864.8080773893. The cubic root of 5164550640 is about 1728.5323559100.

The spelling of 5164550640 in words is "five billion, one hundred sixty-four million, five hundred fifty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 30 36 40 45 46 48 60 69 72 80 90 92 115 120 138 144 180 184 207 230 240 276 345 360 368 414 460 552 690 720 828 920 1035 1104 1380 1656 1840 2070 2760 3312 4140 5520 8280 16560 311869 623738 935607 1247476 1559345 1871214 2494952 2806821 3118690 3742428 4678035 4989904 5613642 6237380 7172987 7484856 9356070 11227284 12474760 14034105 14345974 14969712 18712140 21518961 22454568 24949520 28068210 28691948 35864935 37424280 43037922 44909136 56136420 57383896 64556883 71729870 74848560 86075844 107594805 112272840 114767792 129113766 143459740 172151688 215189610 224545680 258227532 286919480 322784415 344303376 430379220 516455064 573838960 645568830 860758440 1032910128 1291137660 1721516880 2582275320 5164550640