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12672163898880 = 29359531731397
BaseRepresentation
bin1011100001100111011111…
…0100111110011000000000
31122212110001220001001101020
42320121313310332120000
53130110042424231010
642541302311105440
72445351014620203
oct270316764763000
948773056031336
1012672163898880
114046264181752
121507b4a072280
1370bc97b96075
1431b49bdd993a
1516e973339470
hexb8677d3e600

12672163898880 has 160 divisors (see below), whose sum is σ = 40553856645984. Its totient is φ = 3375695855616.

The previous prime is 12672163898851. The next prime is 12672163898897. The reversal of 12672163898880 is 8889836127621.

12672163898880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-3 number, since 3×126721638988803 (a number of 40 digits) contains 333 as substring.

It is a congruent 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, 6453342 + ... + 8184738.

Almost surely, 212672163898880 is an apocalyptic number.

12672163898880 is a gapful number since it is divisible by the number (10) 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 12672163898880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20276928322992).

12672163898880 is an abundant number, since it is smaller than the sum of its proper divisors (27881692747104).

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

12672163898880 is an equidigital number, since it uses as much as digits as its factorization.

12672163898880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1732376 (or 1732360 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 69.

The spelling of 12672163898880 in words is "twelve trillion, six hundred seventy-two billion, one hundred sixty-three million, eight hundred ninety-eight thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 953 960 1280 1536 1906 1920 2560 2859 3812 3840 4765 5718 7624 7680 9530 11436 14295 15248 19060 22872 28590 30496 38120 45744 57180 60992 76240 91488 114360 121984 152480 182976 228720 243968 304960 365952 457440 487936 609920 731904 914880 1219840 1463808 1731397 1829760 2439680 3462794 3659520 5194191 6925588 7319040 8656985 10388382 13851176 17313970 20776764 25970955 27702352 34627940 41553528 51941910 55404704 69255880 83107056 103883820 110809408 138511760 166214112 207767640 221618816 277023520 332428224 415535280 443237632 554047040 664856448 831070560 886475264 1108094080 1329712896 1650021341 1662141120 2216188160 2659425792 3300042682 3324282240 4432376320 4950064023 6600085364 6648564480 8250106705 9900128046 13200170728 13297128960 16500213410 19800256092 24750320115 26400341456 33000426820 39600512184 49500640230 52800682912 66000853640 79201024368 99001280460 105601365824 132001707280 158402048736 198002560920 211202731648 264003414560 316804097472 396005121840 422405463296 528006829120 633608194944 792010243680 844810926592 1056013658240 1267216389888 1584020487360 2112027316480 2534432779776 3168040974720 4224054632960 6336081949440 12672163898880