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667668106776 = 233112529045859
BaseRepresentation
bin10011011011101000001…
…11101100111000011000
32100211100221100001020010
421231310013230320120
541414341013404101
61230420020401520
766144303161106
oct11556407547030
92324327301203
10667668106776
1123817a270790
12a94948462a0
134ac64c44088
142445b2c8c76
151257a8ac2d6
hex9b741ece18

667668106776 has 32 divisors (see below), whose sum is σ = 1820913019200. Its totient is φ = 202323668640.

The previous prime is 667668106771. The next prime is 667668106793. The reversal of 667668106776 is 677601866766.

667668106776 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 super-2 number, since 2×6676681067762 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (667668106771) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1264522666 + ... + 1264523193.

It is an arithmetic number, because the mean of its divisors is an integer number (56903531850).

Almost surely, 2667668106776 is an apocalyptic number.

667668106776 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

667668106776 is an abundant number, since it is smaller than the sum of its proper divisors (1153244912424).

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

667668106776 is a wasteful number, since it uses less digits than its factorization.

667668106776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2529045879 (or 2529045875 counting only the distinct ones).

The product of its (nonzero) digits is 128024064, while the sum is 66.

The spelling of 667668106776 in words is "six hundred sixty-seven billion, six hundred sixty-eight million, one hundred six thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 2529045859 5058091718 7587137577 10116183436 15174275154 20232366872 27819504449 30348550308 55639008898 60697100616 83458513347 111278017796 166917026694 222556035592 333834053388 667668106776