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23112173778672 = 24311643493713789
BaseRepresentation
bin1010100000101001110001…
…11010000111011011110000
310000211111120010111011020010
411100110320322013123300
511012132212441404142
6121053330331014520
74603541132455416
oct520247072073360
9100744503434203
1023112173778672
1174008aa623a20
12271336429a440
13cb86127910b4
1459c8c6d0b2b6
152a130245ee9c
hex150538e876f0

23112173778672 has 160 divisors (see below), whose sum is σ = 65253551005440. Its totient is φ = 6990873384960.

The previous prime is 23112173778601. The next prime is 23112173778689. The reversal of 23112173778672 is 27687737121132.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1676124354 + ... + 1676138142.

It is an arithmetic number, because the mean of its divisors is an integer number (407834693784).

Almost surely, 223112173778672 is an apocalyptic number.

23112173778672 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 23112173778672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32626775502720).

23112173778672 is an abundant number, since it is smaller than the sum of its proper divisors (42141377226768).

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

23112173778672 is a wasteful number, since it uses less digits than its factorization.

23112173778672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19391 (or 19385 counting only the distinct ones).

The product of its digits is 8297856, while the sum is 57.

The spelling of 23112173778672 in words is "twenty-three trillion, one hundred twelve billion, one hundred seventy-three million, seven hundred seventy-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 643 1286 1929 2572 3858 4937 5144 7073 7716 9874 10288 13789 14146 14811 15432 19748 21219 27578 28292 29622 30864 39496 41367 42438 54307 55156 56584 59244 78992 82734 84876 108614 110312 113168 118488 151679 162921 165468 169752 217228 220624 236976 303358 325842 330936 339504 434456 455037 606716 651684 661872 868912 910074 1213432 1303368 1820148 2426864 2606736 3174491 3640296 6348982 7280592 8866327 9523473 12697964 17732654 19046946 25395928 26598981 34919401 35465308 38093892 50791856 53197962 68076293 69838802 70930616 76187784 97529597 104758203 106395924 136152586 139677604 141861232 152375568 195059194 204228879 209516406 212791848 272305172 279355208 292588791 390118388 408457758 419032812 425583696 544610344 558710416 585177582 748839223 780236776 816915516 838065624 1089220688 1170355164 1497678446 1560473552 1633831032 1676131248 2246517669 2340710328 2995356892 3267662064 4493035338 4681420656 5990713784 8986070676 11981427568 17972141352 35944282704 43773056399 87546112798 131319169197 175092225596 262638338394 350184451192 481503620389 525276676788 700368902384 963007240778 1050553353576 1444510861167 1926014481556 2101106707152 2889021722334 3852028963112 5778043444668 7704057926224 11556086889336 23112173778672