Search a number
-
+
4950312827904 = 2103619379433
BaseRepresentation
bin100100000001001010110…
…1000110011110000000000
3122112020121210221021000000
41020002111220303300000
51122101220040443104
614310050424000000
71020435236524113
oct110022550636000
918466553837000
104950312827904
11163946359a774
1267b4a1900000
1329ba74094112
1413184c80857a
1588b80571639
hex48095a33c00

4950312827904 has 616 divisors, whose sum is σ = 16041592090640. Its totient is φ = 1520845258752.

The previous prime is 4950312827897. The next prime is 4950312827909. The reversal of 4950312827904 is 4097282130594.

4950312827904 is a `hidden beast` number, since 4 + 9 + 50 + 312 + 8 + 279 + 0 + 4 = 666.

It is a super-2 number, since 2×49503128279042 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4950312827909) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 524781972 + ... + 524791404.

Almost surely, 24950312827904 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 4950312827904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8020796045320).

4950312827904 is an abundant number, since it is smaller than the sum of its proper divisors (11091279262736).

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

4950312827904 is an equidigital number, since it uses as much as digits as its factorization.

4950312827904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9527 (or 9494 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 4950312827904 in words is "four trillion, nine hundred fifty billion, three hundred twelve million, eight hundred twenty-seven thousand, nine hundred four".