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4623793152 = 210311293467
BaseRepresentation
bin1000100111001100…
…10111110000000000
3102221020111000210020
410103212113300000
533432142340102
62042451533440
7222403410336
oct42346276000
912836430706
104623793152
111a63013260
12a905ba280
13588c2b0a4
1431c131b56
151c0de2bbc
hex113997c00

4623793152 has 176 divisors, whose sum is σ = 13519239552. Its totient is φ = 1393377280.

The previous prime is 4623793151. The next prime is 4623793169. The reversal of 4623793152 is 2513973264.

It is a tau number, because it is divible by the number of its divisors (176).

It is a super-2 number, since 2×46237931522 = 42758926224964190208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4623793151) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 9900823 + ... + 9901289.

Almost surely, 24623793152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4623793152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6759619776).

4623793152 is an abundant number, since it is smaller than the sum of its proper divisors (8895446400).

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

4623793152 is a wasteful number, since it uses less digits than its factorization.

4623793152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 776 counting only the distinct ones).

The product of its digits is 272160, while the sum is 42.

The square root of 4623793152 is about 67998.4790418139. The cubic root of 4623793152 is about 1665.9659948278.

The spelling of 4623793152 in words is "four billion, six hundred twenty-three million, seven hundred ninety-three thousand, one hundred fifty-two".