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29663704490112 = 2735721117293797
BaseRepresentation
bin1101011111010100111101…
…00100011010000010000000
310220000211012120100210100000
412233222132210122002000
512342002231322140422
6143031152343200000
76151063151620500
oct657523644320200
9126024176323300
1029663704490112
1194a7340942aa0
1233b1036746000
131372376b94694
14747a33a69a00
1536694ae84cac
hex1afa9e91a080

29663704490112 has 4608 divisors, whose sum is σ = 127673598124800. Its totient is φ = 6742112993280.

The previous prime is 29663704490059. The next prime is 29663704490137. The reversal of 29663704490112 is 21109440736692.

29663704490112 is a `hidden beast` number, since 2 + 9 + 6 + 6 + 37 + 0 + 4 + 490 + 112 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 305811386448 + ... + 305811386544.

Almost surely, 229663704490112 is an apocalyptic number.

29663704490112 is a gapful number since it is divisible by the number (22) 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 29663704490112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63836799062400).

29663704490112 is an abundant number, since it is smaller than the sum of its proper divisors (98009893634688).

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

29663704490112 is a wasteful number, since it uses less digits than its factorization.

29663704490112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 29663704490112 in words is "twenty-nine trillion, six hundred sixty-three billion, seven hundred four million, four hundred ninety thousand, one hundred twelve".