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29661899520 = 2835113718979
BaseRepresentation
bin11011100111111111…
…001010101100000000
32211120012002121201010
4123213333022230000
5441221421241040
621343153240520
72100022662111
oct334777125400
984505077633
1029661899520
1111641407150
1258b9863140
132a49317246
141615598208
15b890e0e80
hex6e7fcab00

29661899520 has 288 divisors, whose sum is σ = 106143448320. Its totient is φ = 6996049920.

The previous prime is 29661899503. The next prime is 29661899549. The reversal of 29661899520 is 2599816692.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1553391 + ... + 1572369.

It is an arithmetic number, because the mean of its divisors is an integer number (368553640).

Almost surely, 229661899520 is an apocalyptic number.

29661899520 is a gapful number since it is divisible by the number (20) 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 29661899520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53071724160).

29661899520 is an abundant number, since it is smaller than the sum of its proper divisors (76481548800).

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

29661899520 is a wasteful number, since it uses less digits than its factorization.

29661899520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19051 (or 19037 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 57.

It can be divided in two parts, 296 and 61899520, that added together give a palindrome (61899816).

The spelling of 29661899520 in words is "twenty-nine billion, six hundred sixty-one million, eight hundred ninety-nine thousand, five hundred twenty".