Search a number
-
+
30719947856 = 24134310931511
BaseRepresentation
bin11100100111000011…
…010011010001010000
32221021221000001011112
4130213003103101100
51000403301312411
622040151032452
72135161151123
oct344703232120
987257001145
1030719947856
1112034678564
125b5406b728
132b87599c50
1416b5cd63ba
15bebe3bb8b
hex7270d3450

30719947856 has 80 divisors (see below), whose sum is σ = 66192846720. Its totient is φ = 13721218560.

The previous prime is 30719947807. The next prime is 30719947871. The reversal of 30719947856 is 65874991703.

It is a junction number, because it is equal to n+sod(n) for n = 30719947795 and 30719947804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 959141 + ... + 990651.

It is an arithmetic number, because the mean of its divisors is an integer number (827410584).

Almost surely, 230719947856 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 30719947856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33096423360).

30719947856 is an abundant number, since it is smaller than the sum of its proper divisors (35472898864).

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

30719947856 is a wasteful number, since it uses less digits than its factorization.

30719947856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31684 (or 31678 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 59.

The spelling of 30719947856 in words is "thirty billion, seven hundred nineteen million, nine hundred forty-seven thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 43 52 86 104 109 172 208 218 344 436 559 688 872 1118 1417 1744 2236 2834 4472 4687 5668 8944 9374 11336 18748 22672 31511 37496 60931 63022 74992 121862 126044 243724 252088 409643 487448 504176 819286 974896 1354973 1638572 2709946 3277144 3434699 5419892 6554288 6869398 10839784 13738796 17614649 21679568 27477592 35229298 44651087 54955184 70458596 89302174 140917192 147692057 178604348 281834384 295384114 357208696 590768228 714417392 1181536456 1919996741 2363072912 3839993482 7679986964 15359973928 30719947856