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129470939136 = 214347211181
BaseRepresentation
bin111100010010100010…
…0011100000000000000
3110101012001102011120000
41320211010130000000
54110124030023021
6135251135320000
712232260552600
oct1704504340000
9411161364500
10129470939136
114a9a9a73950
1221113680000
13c2943b6076
1463a310ac00
15357b6a9b26
hex1e2511c000

129470939136 has 900 divisors, whose sum is σ = 493570893816. Its totient is φ = 33443020800.

The previous prime is 129470939119. The next prime is 129470939137. The reversal of 129470939136 is 631939074921.

It is a happy number.

129470939136 is a `hidden beast` number, since 1 + 2 + 9 + 470 + 9 + 39 + 136 = 666.

It is a super-3 number, since 3×1294709391363 (a number of 34 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129470939137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 715308966 + ... + 715309146.

Almost surely, 2129470939136 is an apocalyptic number.

129470939136 is a gapful number since it is divisible by the number (16) 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 129470939136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246785446908).

129470939136 is an abundant number, since it is smaller than the sum of its proper divisors (364099954680).

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

129470939136 is an equidigital number, since it uses as much as digits as its factorization.

129470939136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The spelling of 129470939136 in words is "one hundred twenty-nine billion, four hundred seventy million, nine hundred thirty-nine thousand, one hundred thirty-six".