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23181389088 = 25311213153511
BaseRepresentation
bin10101100101101101…
…111110110100100000
32012211112212120122020
4111211231332310200
5334433413422323
614352133341440
71450312361514
oct254555766440
965745776566
1023181389088
119916320800
1245ab497880
13225582b3a0
14119ca28144
1590a1deae3
hex565b7ed20

23181389088 has 144 divisors (see below), whose sum is σ = 72031514688. Its totient is φ = 6484262400.

The previous prime is 23181389087. The next prime is 23181389107. The reversal of 23181389088 is 88098318132.

It is a self number, because there is not a number n which added to its sum of digits gives 23181389088.

It is not an unprimeable number, because it can be changed into a prime (23181389087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74253 + ... + 227763.

It is an arithmetic number, because the mean of its divisors is an integer number (500218852).

Almost surely, 223181389088 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 23181389088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36015757344).

23181389088 is an abundant number, since it is smaller than the sum of its proper divisors (48850125600).

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

23181389088 is a wasteful number, since it uses less digits than its factorization.

23181389088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153559 (or 153540 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 51.

The spelling of 23181389088 in words is "twenty-three billion, one hundred eighty-one million, three hundred eighty-nine thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 66 78 88 96 104 121 132 143 156 176 208 242 264 286 312 352 363 416 429 484 528 572 624 726 858 968 1056 1144 1248 1452 1573 1716 1936 2288 2904 3146 3432 3872 4576 4719 5808 6292 6864 9438 11616 12584 13728 18876 25168 37752 50336 75504 151008 153511 307022 460533 614044 921066 1228088 1688621 1842132 1995643 2456176 3377242 3684264 3991286 4912352 5065863 5986929 6754484 7368528 7982572 10131726 11973858 13508968 14737056 15965144 18574831 20263452 21952073 23947716 27017936 31930288 37149662 40526904 43904146 47895432 54035872 55724493 63860576 65856219 74299324 81053808 87808292 95790864 111448986 131712438 148598648 162107616 175616584 191581728 222897972 241472803 263424876 297197296 351233168 445795944 482945606 526849752 594394592 702466336 724418409 891591888 965891212 1053699504 1448836818 1783183776 1931782424 2107399008 2897673636 3863564848 5795347272 7727129696 11590694544 23181389088