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4831264112640 = 2193571931149
BaseRepresentation
bin100011001001101110111…
…0010000000000000000000
3122002212100002202220211120
41012103131302000000000
51113123412103101030
614135241352512240
71006022141245440
oct106233562000000
918085302686746
104831264112640
1115a2a22705989
126603b86ab680
13290780cbb534
14129b9796c120
1585a13d78010
hex464ddc80000

4831264112640 has 1280 divisors, whose sum is σ = 19327334400000. Its totient is φ = 1005626327040.

The previous prime is 4831264112627. The next prime is 4831264112663. The reversal of 4831264112640 is 462114621384.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×48312641126402 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 4831264112592 and 4831264112601.

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 63 ways as a sum of consecutive naturals, for example, 32424591286 + ... + 32424591434.

It is an arithmetic number, because the mean of its divisors is an integer number (15099480000).

Almost surely, 24831264112640 is an apocalyptic number.

4831264112640 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 4831264112640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9663667200000).

4831264112640 is an abundant number, since it is smaller than the sum of its proper divisors (14496070287360).

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

4831264112640 is an equidigital number, since it uses as much as digits as its factorization.

4831264112640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The spelling of 4831264112640 in words is "four trillion, eight hundred thirty-one billion, two hundred sixty-four million, one hundred twelve thousand, six hundred forty".