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4967496320 = 2758239431
BaseRepresentation
bin1001010000001010…
…11111101010000000
3110211012012221220012
410220011133222000
540133134340240
62140530404052
7234046010363
oct45005375200
913735187805
104967496320
11211a027566
12b67730628
136121bb147
14351a400da
151e1185b65
hex12815fa80

4967496320 has 64 divisors (see below), whose sum is σ = 11891111040. Its totient is φ = 1984373760.

The previous prime is 4967496319. The next prime is 4967496343. The reversal of 4967496320 is 236947694.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 522005 + ... + 531435.

It is an arithmetic number, because the mean of its divisors is an integer number (185798610).

Almost surely, 24967496320 is an apocalyptic number.

4967496320 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 4967496320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5945555520).

4967496320 is an abundant number, since it is smaller than the sum of its proper divisors (6923614720).

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

4967496320 is an equidigital number, since it uses as much as digits as its factorization.

4967496320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10273 (or 10261 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 50.

The square root of 4967496320 is about 70480.4676488458. The cubic root of 4967496320 is about 1706.2625209491.

The spelling of 4967496320 in words is "four billion, nine hundred sixty-seven million, four hundred ninety-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 823 1646 3292 4115 6584 8230 9431 13168 16460 18862 26336 32920 37724 47155 52672 65840 75448 94310 105344 131680 150896 188620 263360 301792 377240 526720 603584 754480 1207168 1508960 3017920 6035840 7761713 15523426 31046852 38808565 62093704 77617130 124187408 155234260 248374816 310468520 496749632 620937040 993499264 1241874080 2483748160 4967496320