Search a number
-
+
28914234752 = 2713431014001
BaseRepresentation
bin11010111011011011…
…000011010110000000
32202122002020022110102
4122323123003112000
5433204021003002
621141044221532
72042343640334
oct327333032600
982562208412
1028914234752
1111298371587
12572b39a8a8
13295a459660
1415841737c4
15b43655a02
hex6bb6c3580

28914234752 has 128 divisors (see below), whose sum is σ = 64120684320. Its totient is φ = 12902400000.

The previous prime is 28914234731. The next prime is 28914234757. The reversal of 28914234752 is 25743241982.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 28914234697 and 28914234706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28914234757) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 7224752 + ... + 7228752.

Almost surely, 228914234752 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 28914234752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32060342160).

28914234752 is an abundant number, since it is smaller than the sum of its proper divisors (35206449568).

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

28914234752 is a wasteful number, since it uses less digits than its factorization.

28914234752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4172 (or 4160 counting only the distinct ones).

The product of its digits is 967680, while the sum is 47.

The spelling of 28914234752 in words is "twenty-eight billion, nine hundred fourteen million, two hundred thirty-four thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 43 52 64 86 101 104 128 172 202 208 344 404 416 559 688 808 832 1118 1313 1376 1616 1664 2236 2626 2752 3232 4001 4343 4472 5252 5504 6464 8002 8686 8944 10504 12928 16004 17372 17888 21008 32008 34744 35776 42016 52013 56459 64016 69488 71552 84032 104026 112918 128032 138976 168064 172043 208052 225836 256064 277952 344086 404101 416104 451672 512128 555904 688172 808202 832208 903344 1376344 1616404 1664416 1806688 2236559 2752688 3232808 3328832 3613376 4473118 5253313 5505376 6465616 6657664 7226752 8946236 10506626 11010752 12931232 17376343 17892472 21013252 22021504 25862464 34752686 35784944 42026504 51724928 69505372 71569888 84053008 139010744 143139776 168106016 225892459 278021488 286279552 336212032 451784918 556042976 672424064 903569836 1112085952 1807139672 2224171904 3614279344 7228558688 14457117376 28914234752