Search a number
-
+
4766302235240 = 235713171017271049
BaseRepresentation
bin100010101011011110111…
…0000000110101001101000
3121212122122210112121220022
41011112331300012221220
51111042341333011430
614045335314220012
71001232261352040
oct105267560065150
917778583477808
104766302235240
1115784173999a7
1264b8a8b84608
132875ca58c920
141269940dc720
1583eb0bee4e5
hex455bdc06a68

4766302235240 has 512 divisors, whose sum is σ = 14146659072000. Its totient is φ = 1402395033600.

The previous prime is 4766302235197. The next prime is 4766302235267. The reversal of 4766302235240 is 425322036674.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 4766302235191 and 4766302235200.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4543662236 + ... + 4543663284.

It is an arithmetic number, because the mean of its divisors is an integer number (27630193500).

Almost surely, 24766302235240 is an apocalyptic number.

4766302235240 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 4766302235240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7073329536000).

4766302235240 is an abundant number, since it is smaller than the sum of its proper divisors (9380356836760).

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

4766302235240 is a wasteful number, since it uses less digits than its factorization.

4766302235240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1925 (or 1921 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 44.

The spelling of 4766302235240 in words is "four trillion, seven hundred sixty-six billion, three hundred two million, two hundred thirty-five thousand, two hundred forty".