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29093903064 = 23321967331601
BaseRepresentation
bin11011000110001000…
…011011101011011000
32210002121022102001100
4123012020123223120
5434041014344224
621210543151400
72046655044552
oct330610335330
983077272040
1029093903064
111137a827a96
12577b5a5560
132988745575
14159dd824d2
15b542e5ac9
hex6c621bad8

29093903064 has 96 divisors (see below), whose sum is σ = 83069017200. Its totient is φ = 9173606400.

The previous prime is 29093903029. The next prime is 29093903081. The reversal of 29093903064 is 46030939092.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 904864 + ... + 936464.

Almost surely, 229093903064 is an apocalyptic number.

29093903064 is a gapful number since it is divisible by the number (24) 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 29093903064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41534508600).

29093903064 is an abundant number, since it is smaller than the sum of its proper divisors (53975114136).

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

29093903064 is a wasteful number, since it uses less digits than its factorization.

29093903064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32305 (or 32298 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 45.

The spelling of 29093903064 in words is "twenty-nine billion, ninety-three million, nine hundred three thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 456 673 684 1346 1368 2019 2692 4038 5384 6057 8076 12114 12787 16152 24228 25574 31601 38361 48456 51148 63202 76722 94803 102296 115083 126404 153444 189606 230166 252808 284409 306888 379212 460332 568818 600419 758424 920664 1137636 1200838 1801257 2275272 2401676 3602514 4803352 5403771 7205028 10807542 14410056 21267473 21615084 42534946 43230168 63802419 85069892 127604838 170139784 191407257 255209676 382814514 404081987 510419352 765629028 808163974 1212245961 1531258056 1616327948 2424491922 3232655896 3636737883 4848983844 7273475766 9697967688 14546951532 29093903064