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23128205448832 = 2711422754367
BaseRepresentation
bin1010100001000111101000…
…11110000101011010000000
310000220000221101220101022121
411100203310132011122000
511012413031043330312
6121104541221214024
74604646330431521
oct520436436053200
9100800841811277
1023128205448832
117407687030000
122716499261314
13cb9c98c85563
1459d5a8164848
152a193eb0e707
hex1508f4785680

23128205448832 has 160 divisors (see below), whose sum is σ = 50907188649600. Its totient is φ = 10466316157440.

The previous prime is 23128205448767. The next prime is 23128205448833. The reversal of 23128205448832 is 23884450282132.

It is a self number, because there is not a number n which added to its sum of digits gives 23128205448832.

It is not an unprimeable number, because it can be changed into a prime (23128205448833) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 425381713 + ... + 425436079.

It is an arithmetic number, because the mean of its divisors is an integer number (318169929060).

Almost surely, 223128205448832 is an apocalyptic number.

23128205448832 is a gapful number since it is divisible by the number (22) 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 23128205448832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25453594324800).

23128205448832 is an abundant number, since it is smaller than the sum of its proper divisors (27778983200768).

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

23128205448832 is an frugal number, since it uses more digits than its factorization.

23128205448832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54652 (or 54607 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 52.

The spelling of 23128205448832 in words is "twenty-three trillion, one hundred twenty-eight billion, two hundred five million, four hundred forty-eight thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 227 242 352 454 484 704 908 968 1331 1408 1816 1936 2497 2662 3632 3872 4994 5324 7264 7744 9988 10648 14528 14641 15488 19976 21296 27467 29056 29282 39952 42592 54367 54934 58564 79904 85184 108734 109868 117128 159808 170368 217468 219736 234256 302137 319616 434936 439472 468512 598037 604274 869872 878944 937024 1196074 1208548 1739744 1757888 1874048 2392148 2417096 3323507 3479488 3515776 4784296 4834192 6578407 6647014 6958976 9568592 9668384 12341309 13156814 13294028 19137184 19336768 24682618 26313628 26588056 38274368 38673536 49365236 52627256 53176112 72362477 76548736 98730472 105254512 106352224 135754399 144724954 197460944 210509024 212704448 271508798 289449908 394921888 421018048 425408896 543017596 578899816 789843776 795987247 842036096 1086035192 1157799632 1493298389 1579687552 1591974494 2172070384 2315599264 2986596778 3183948988 4344140768 4631198528 5973193556 6367897976 8688281536 9262397056 11946387112 12735795952 16426282279 17376563072 23892774224 25471591904 32852564558 47785548448 50943183808 65705129116 95571096896 101886367616 131410258232 180689105069 191142193792 262820516464 361378210138 525641032928 722756420276 1051282065856 1445512840552 2102564131712 2891025681104 5782051362208 11564102724416 23128205448832