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4666955920 = 245116078737
BaseRepresentation
bin1000101100010110…
…00001100010010000
3110001020200220222021
410112023001202100
534024220042140
62051033021224
7223436320324
oct42613014220
913036626867
104666955920
111a85414070
12aa2b54814
13594b613a3
14323b69984
151c4abbb4a
hex1162c1890

4666955920 has 80 divisors (see below), whose sum is σ = 11857955328. Its totient is φ = 1694085120.

The previous prime is 4666955911. The next prime is 4666955929. The reversal of 4666955920 is 295596664.

It is an interprime number because it is at equal distance from previous prime (4666955911) and next prime (4666955929).

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (4666955929) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 529792 + ... + 538528.

Almost surely, 24666955920 is an apocalyptic number.

4666955920 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 4666955920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5928977664).

4666955920 is an abundant number, since it is smaller than the sum of its proper divisors (7190999408).

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

4666955920 is a wasteful number, since it uses less digits than its factorization.

4666955920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9368 (or 9362 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 52.

The square root of 4666955920 is about 68315.1221912103. The cubic root of 4666955920 is about 1671.1338374448.

It can be divided in two parts, 46 and 66955920, that added together give a palindrome (66955966).

The spelling of 4666955920 in words is "four billion, six hundred sixty-six million, nine hundred fifty-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 607 880 1214 2428 3035 4856 6070 6677 8737 9712 12140 13354 17474 24280 26708 33385 34948 43685 48560 53416 66770 69896 87370 96107 106832 133540 139792 174740 192214 267080 349480 384428 480535 534160 698960 768856 961070 1537712 1922140 3844280 5303359 7688560 10606718 21213436 26516795 42426872 53033590 58336949 84853744 106067180 116673898 212134360 233347796 291684745 424268720 466695592 583369490 933391184 1166738980 2333477960 4666955920