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129009991656 = 233713236171593
BaseRepresentation
bin111100000100110011…
…0000011111111101000
3110022222221001121111010
41320021212003333220
54103203024213111
6135133311503520
712214662556440
oct1701146037750
9408887047433
10129009991656
114a792860217
1221005227ba0
13c21ca55490
14635bbdd120
153550ea7aa6
hex1e09983fe8

129009991656 has 512 divisors, whose sum is σ = 427652628480. Its totient is φ = 31507660800.

The previous prime is 129009991637. The next prime is 129009991681. The reversal of 129009991656 is 656199900921.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 129009991596 and 129009991605.

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 127 ways as a sum of consecutive naturals, for example, 217554496 + ... + 217555088.

It is an arithmetic number, because the mean of its divisors is an integer number (835259040).

Almost surely, 2129009991656 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 129009991656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213826314240).

129009991656 is an abundant number, since it is smaller than the sum of its proper divisors (298642636824).

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

129009991656 is a wasteful number, since it uses less digits than its factorization.

129009991656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 2361960, while the sum is 57.

The spelling of 129009991656 in words is "one hundred twenty-nine billion, nine million, nine hundred ninety-one thousand, six hundred fifty-six".