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9023144768 = 2611431272347
BaseRepresentation
bin10000110011101001…
…00100001101000000
3212021211122020122222
420121310210031000
5121434411113033
64051205150212
7436413315341
oct103164441500
925254566588
109023144768
11391036a240
1218b99bb368
13b0a4c4c21
1461851c0c8
1537c24e598
hex219d24340

9023144768 has 112 divisors (see below), whose sum is σ = 20153278464. Its totient is φ = 3972810240.

The previous prime is 9023144759. The next prime is 9023144803. The reversal of 9023144768 is 8674413209.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a cake number, because a cake can be divided into 9023144768 parts by 3783 planar cuts.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3843371 + ... + 3845717.

Almost surely, 29023144768 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 9023144768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10076639232).

9023144768 is an abundant number, since it is smaller than the sum of its proper divisors (11130133696).

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

9023144768 is a wasteful number, since it uses less digits than its factorization.

9023144768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2540 (or 2530 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 44.

The square root of 9023144768 is about 94990.2351191953. The cubic root of 9023144768 is about 2081.8653729586.

The spelling of 9023144768 in words is "nine billion, twenty-three million, one hundred forty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 43 44 64 86 88 127 172 176 254 344 352 473 508 688 704 946 1016 1376 1397 1892 2032 2347 2752 2794 3784 4064 4694 5461 5588 7568 8128 9388 10922 11176 15136 18776 21844 22352 25817 30272 37552 43688 44704 51634 60071 75104 87376 89408 100921 103268 120142 150208 174752 201842 206536 240284 298069 349504 403684 413072 480568 596138 807368 826144 961136 1110131 1192276 1614736 1652288 1922272 2220262 2384552 3229472 3278759 3844544 4440524 4769104 6458944 6557518 8881048 9538208 12816967 13115036 17762096 19076416 25633934 26230072 35524192 51267868 52460144 71048384 102535736 104920288 140986637 205071472 209840576 281973274 410142944 563946548 820285888 1127893096 2255786192 4511572384 9023144768