Search a number
-
+
30993885312 = 2731331375413
BaseRepresentation
bin11100110111011000…
…010010100010000000
32222000000110111201020
4130313120102202000
51001433413312222
622123254305440
72145025451445
oct346730224200
988000414636
1030993885312
1112165270855
12600b958280
132bcc271010
1417004439cc
15c15eed65c
hex737612880

30993885312 has 256 divisors, whose sum is σ = 94011294720. Its totient is φ = 8977858560.

The previous prime is 30993885289. The next prime is 30993885319. The reversal of 30993885312 is 21358839903.

It is not an unprimeable number, because it can be changed into a prime (30993885319) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5723118 + ... + 5728530.

It is an arithmetic number, because the mean of its divisors is an integer number (367231620).

Almost surely, 230993885312 is an apocalyptic number.

30993885312 is a gapful number since it is divisible by the number (32) 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 30993885312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47005647360).

30993885312 is an abundant number, since it is smaller than the sum of its proper divisors (63017409408).

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

30993885312 is a wasteful number, since it uses less digits than its factorization.

30993885312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5511 (or 5499 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 51.

The spelling of 30993885312 in words is "thirty billion, nine hundred ninety-three million, eight hundred eighty-five thousand, three hundred twelve".