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29851379712 = 211357111941
BaseRepresentation
bin11011110011010001…
…111110100000000000
32212001101122012200000
4123303101332200000
5442113423122322
621414042400000
72104513353360
oct336321764000
985041565600
1029851379712
1111729364450
125951200000
132a7965a1bb
1416327dc9a0
15b9aa6d3ac
hex6f347e800

29851379712 has 1152 divisors, whose sum is σ = 120200371200. Its totient is φ = 7166361600.

The previous prime is 29851379711. The next prime is 29851379777. The reversal of 29851379712 is 21797315892.

It is a happy number.

29851379712 is a `hidden beast` number, since 29 + 8 + 513 + 7 + 97 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×298513797122 (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (29851379711) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 728082412 + ... + 728082452.

It is an arithmetic number, because the mean of its divisors is an integer number (104340600).

Almost surely, 229851379712 is an apocalyptic number.

29851379712 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 29851379712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60100185600).

29851379712 is an abundant number, since it is smaller than the sum of its proper divisors (90348991488).

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

29851379712 is a wasteful number, since it uses less digits than its factorization.

29851379712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 83 counting only the distinct ones).

The product of its digits is 1905120, while the sum is 54.

It can be divided in two parts, 298513 and 79712, that added together give a square (378225 = 6152).

The spelling of 29851379712 in words is "twenty-nine billion, eight hundred fifty-one million, three hundred seventy-nine thousand, seven hundred twelve".