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667212111144 = 233324125934943
BaseRepresentation
bin10011011010110001111…
…00001101110100101000
32100210012011022001211000
421231120330031310220
541412422300024034
61230302451035000
766130065240555
oct11553074156450
92323164261730
10667212111144
11237a6592a497
12a9387b9ba60
134abc1628387
1424416909a2c
1512550837599
hex9b58f0dd28

667212111144 has 128 divisors (see below), whose sum is σ = 1862151667200. Its totient is φ = 221350993920.

The previous prime is 667212111143. The next prime is 667212111169. The reversal of 667212111144 is 441111212766.

667212111144 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 667212111099 and 667212111108.

It is not an unprimeable number, because it can be changed into a prime (667212111143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134978737 + ... + 134983679.

It is an arithmetic number, because the mean of its divisors is an integer number (14548059900).

Almost surely, 2667212111144 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 667212111144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931075833600).

667212111144 is an abundant number, since it is smaller than the sum of its proper divisors (1194939556056).

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

667212111144 is a wasteful number, since it uses less digits than its factorization.

667212111144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7792 (or 7782 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The spelling of 667212111144 in words is "six hundred sixty-seven billion, two hundred twelve million, one hundred eleven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 241 482 723 964 1446 1928 2169 2593 2892 4338 4943 5186 5784 6507 7779 8676 9886 10372 13014 14829 15558 17352 19772 20744 23337 26028 29658 31116 39544 44487 46674 52056 59316 62232 70011 88974 93348 118632 133461 140022 177948 186696 266922 280044 355896 533844 560088 624913 1067688 1191263 1249826 1874739 2382526 2499652 3573789 3749478 4765052 4999304 5624217 7147578 7498956 9530104 10721367 11248434 12817199 14295156 14997912 16872651 21442734 22496868 25634398 28590312 32164101 33745302 38451597 42885468 44993736 51268796 64328202 67490604 76903194 85770936 102537592 115354791 128656404 134981208 153806388 230709582 257312808 307612776 346064373 461419164 692128746 922838328 1384257492 2768514984 3088944959 6177889918 9266834877 12355779836 18533669754 24711559672 27800504631 37067339508 55601009262 74134679016 83401513893 111202018524 166803027786 222404037048 333606055572 667212111144