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23017728707072 = 291189179256541
BaseRepresentation
bin1010011101111001110111…
…00010110000101000000000
310000111110210002102102012022
411032330323202300220000
511004110302022111242
6120542110521221012
74563655526553431
oct516747342605000
9100443702372168
1023017728707072
117374844869840
1226b8ba6931768
13cac740a87a48
145980c7921488
1529db25c450d2
hex14ef3b8b0a00

23017728707072 has 160 divisors (see below), whose sum is σ = 51018815390400. Its totient is φ = 10287212953600.

The previous prime is 23017728707069. The next prime is 23017728707089. The reversal of 23017728707072 is 27070782771032.

It is a happy 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, 89595122 + ... + 89851662.

It is an arithmetic number, because the mean of its divisors is an integer number (318867596190).

Almost surely, 223017728707072 is an apocalyptic number.

23017728707072 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 23017728707072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25509407695200).

23017728707072 is an abundant number, since it is smaller than the sum of its proper divisors (28001086683328).

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

23017728707072 is a wasteful number, since it uses less digits than its factorization.

23017728707072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256838 (or 256822 counting only the distinct ones).

The product of its (nonzero) digits is 3226944, while the sum is 53.

The spelling of 23017728707072 in words is "twenty-three trillion, seventeen billion, seven hundred twenty-eight million, seven hundred seven thousand, seventy-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 89 128 176 178 179 256 352 356 358 512 704 712 716 979 1408 1424 1432 1958 1969 2816 2848 2864 3916 3938 5632 5696 5728 7832 7876 11392 11456 15664 15752 15931 22784 22912 31328 31504 31862 45568 45824 62656 63008 63724 91648 125312 126016 127448 175241 250624 252032 254896 256541 350482 501248 504064 509792 513082 700964 1008128 1019584 1026164 1401928 2039168 2052328 2803856 2821951 4078336 4104656 5607712 5643902 8156672 8209312 11215424 11287804 16418624 22430848 22575608 22832149 32837248 44861696 45151216 45664298 45920839 65674496 89723392 90302432 91328596 91841678 131348992 180604864 182657192 183683356 251153639 361209728 365314384 367366712 502307278 505129229 722419456 730628768 734733424 1004614556 1010258458 1444838912 1461257536 1469466848 2009229112 2020516916 2922515072 2938933696 4018458224 4041033832 4086954671 5845030144 5877867392 8036916448 8082067664 8173909342 11690060288 11755734784 16073832896 16164135328 16347818684 23511469568 32147665792 32328270656 32695637368 44956501381 64295331584 64656541312 65391274736 89913002762 128590663168 129313082624 130782549472 179826005524 258626165248 261565098944 359652011048 523130197888 719304022096 1046260395776 1438608044192 2092520791552 2877216088384 5754432176768 11508864353536 23017728707072