Search a number
-
+
7383053221038 = 23711269661863
BaseRepresentation
bin110101101110000000001…
…0000111011110010101110
3222010210221200011210000000
41223130000100323302232
51431430443111033123
623411421113245130
71361256640631325
oct153340020736256
928123850153000
107383053221038
1123971540818a0
129b2a757037a6
134172accb8ac1
141b74ad8110bc
15cc0b4434b43
hex6b70043bcae

7383053221038 has 256 divisors, whose sum is σ = 18235254988800. Its totient is φ = 2223020764800.

The previous prime is 7383053221013. The next prime is 7383053221079. The reversal of 7383053221038 is 8301223503837.

7383053221038 is a `hidden beast` number, since 7 + 3 + 8 + 3 + 0 + 532 + 2 + 103 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 7383053220984 and 7383053221002.

It is a congruent number.

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, 8555101795 + ... + 8555102657.

It is an arithmetic number, because the mean of its divisors is an integer number (71231464800).

Almost surely, 27383053221038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7383053221038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9117627494400).

7383053221038 is an abundant number, since it is smaller than the sum of its proper divisors (10852201767762).

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

7383053221038 is a wasteful number, since it uses less digits than its factorization.

7383053221038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1827 (or 1809 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 7383053221038 in words is "seven trillion, three hundred eighty-three billion, fifty-three million, two hundred twenty-one thousand, thirty-eight".