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29050072064 = 210134874481
BaseRepresentation
bin11011000011100001…
…001110110000000000
32202222112211120012222
4123003201032300000
5433443304301224
621202335510212
72045613352436
oct330341166000
982875746188
1029050072064
1111358010122
125768988368
13297c63a070
141598212d56
15b50538b5e
hex6c384ec00

29050072064 has 88 divisors (see below), whose sum is σ = 62681236128. Its totient is φ = 13377208320.

The previous prime is 29050072057. The next prime is 29050072169. The reversal of 29050072064 is 46027005092.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6480704 + ... + 6485184.

Almost surely, 229050072064 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 29050072064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31340618064).

29050072064 is an abundant number, since it is smaller than the sum of its proper divisors (33631164064).

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

29050072064 is a wasteful number, since it uses less digits than its factorization.

29050072064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5001 (or 4983 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The spelling of 29050072064 in words is "twenty-nine billion, fifty million, seventy-two thousand, sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 487 512 832 974 1024 1664 1948 3328 3896 4481 6331 6656 7792 8962 12662 13312 15584 17924 25324 31168 35848 50648 58253 62336 71696 101296 116506 124672 143392 202592 233012 249344 286784 405184 466024 498688 573568 810368 932048 1147136 1620736 1864096 2182247 2294272 3241472 3728192 4364494 4588544 6482944 7456384 8728988 14912768 17457976 28369211 29825536 34915952 56738422 59651072 69831904 113476844 139663808 226953688 279327616 453907376 558655232 907814752 1117310464 1815629504 2234620928 3631259008 7262518016 14525036032 29050072064