Search a number
-
+
4794047293728 = 253721131773617
BaseRepresentation
bin100010111000011001101…
…1111000110100100100000
3121222022021101202122001010
41011300303133012210200
51112021202101344403
614110204355140520
71003233650433300
oct105606337064440
917868241678033
104794047293728
111589164798000
126551508a4740
1328a0cc7279b4
14128066c87600
1584a868a7603
hex45c337c6920

4794047293728 has 1152 divisors, whose sum is σ = 17310482493696. Its totient is φ = 1154031943680.

The previous prime is 4794047293727. The next prime is 4794047293751. The reversal of 4794047293728 is 8273927404974.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (4794047293727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7769930476 + ... + 7769931092.

It is an arithmetic number, because the mean of its divisors is an integer number (15026460498).

Almost surely, 24794047293728 is an apocalyptic number.

4794047293728 is a gapful number since it is divisible by the number (48) 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 4794047293728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8655241246848).

4794047293728 is an abundant number, since it is smaller than the sum of its proper divisors (12516435199968).

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

4794047293728 is a wasteful number, since it uses less digits than its factorization.

4794047293728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 170698752, while the sum is 66.

The spelling of 4794047293728 in words is "four trillion, seven hundred ninety-four billion, forty-seven million, two hundred ninety-three thousand, seven hundred twenty-eight".