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29999621376 = 283853337
BaseRepresentation
bin11011111100000111…
…011110010100000000
32212102201120200000000
4123330013132110000
5442414400341001
621440500000000
72111263400664
oct337407362400
985381520000
1029999621376
11117a500561a
125992990000
132aa129196a
14164838a8a4
15ba8aa1a86
hex6fc1de500

29999621376 has 324 divisors, whose sum is σ = 91784763252. Its totient is φ = 9782083584.

The previous prime is 29999621369. The next prime is 29999621389. The reversal of 29999621376 is 67312699992.

It can be written as a sum of positive squares in 2 ways, for example, as 14841086976 + 15158534400 = 121824^2 + 123120^2 .

It is a tau number, because it is divible by the number of its divisors (324).

It is a super-2 number, since 2×299996213762 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 89019480 + ... + 89019816.

Almost surely, 229999621376 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 29999621376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45892381626).

29999621376 is an abundant number, since it is smaller than the sum of its proper divisors (61785141876).

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

29999621376 is an frugal number, since it uses more digits than its factorization.

29999621376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 395 counting only the distinct ones).

The product of its digits is 19840464, while the sum is 63.

The spelling of 29999621376 in words is "twenty-nine billion, nine hundred ninety-nine million, six hundred twenty-one thousand, three hundred seventy-six".