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9014138352 = 243326977569
BaseRepresentation
bin10000110010100100…
…01101010111110000
3212021012200200012000
420121102031113300
5121430104411402
64050244134000
7436243624512
oct103122152760
925235620160
109014138352
11390627861a
1218b6997300
13b0869069b
14617255bb2
1537b570c1c
hex21948d5f0

9014138352 has 80 divisors (see below), whose sum is σ = 25970436000. Its totient is φ = 2993504256.

The previous prime is 9014138323. The next prime is 9014138359. The reversal of 9014138352 is 2538314109.

9014138352 is a `hidden beast` number, since 90 + 141 + 383 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9014138359) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77424 + ... + 154992.

It is an arithmetic number, because the mean of its divisors is an integer number (324630450).

Almost surely, 29014138352 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 9014138352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12985218000).

9014138352 is an abundant number, since it is smaller than the sum of its proper divisors (16956297648).

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

9014138352 is a wasteful number, since it uses less digits than its factorization.

9014138352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77855 (or 77843 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 9014138352 is about 94942.8162211339. The cubic root of 9014138352 is about 2081.1724738268.

The spelling of 9014138352 in words is "nine billion, fourteen million, one hundred thirty-eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 269 432 538 807 1076 1614 2152 2421 3228 4304 4842 6456 7263 9684 12912 14526 19368 29052 38736 58104 77569 116208 155138 232707 310276 465414 620552 698121 930828 1241104 1396242 1861656 2094363 2792484 3723312 4188726 5584968 8377452 11169936 16754904 20866061 33509808 41732122 62598183 83464244 125196366 166928488 187794549 250392732 333856976 375589098 500785464 563383647 751178196 1001570928 1126767294 1502356392 2253534588 3004712784 4507069176 9014138352