Search a number
-
+
30005279443392 = 26311232717573011
BaseRepresentation
bin1101101001010001001100…
…00001011100100111000000
310221020110212111220021022120
412310220212001130213000
512413101303014142032
6143452122440004240
76214544540045361
oct664504601344700
9127213774807276
1030005279443392
119619193012010
123447283460680
13139864114c056
1475a3985cdb68
1537078d52d62c
hex1b4a2605c9c0

30005279443392 has 448 divisors, whose sum is σ = 90855092994048. Its totient is φ = 8650768896000.

The previous prime is 30005279443301. The next prime is 30005279443421. The reversal of 30005279443392 is 29334497250003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9965219167 + ... + 9965222177.

Almost surely, 230005279443392 is an apocalyptic number.

30005279443392 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 30005279443392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45427546497024).

30005279443392 is an abundant number, since it is smaller than the sum of its proper divisors (60849813550656).

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

30005279443392 is a wasteful number, since it uses less digits than its factorization.

30005279443392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4088 (or 4078 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 51.

The spelling of 30005279443392 in words is "thirty trillion, five billion, two hundred seventy-nine million, four hundred forty-three thousand, three hundred ninety-two".