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106667379440 = 2454013325043
BaseRepresentation
bin110001101010111011…
…1110000101011110000
3101012022211111022101222
41203111313300223300
53221423322120230
6121000300044212
710464213523346
oct1432567605360
9335284438358
10106667379440
1141267a55a46
121880a833668
13a09bc35b8b
14523c755996
152b9474e6e5
hex18d5df0af0

106667379440 has 40 divisors (see below), whose sum is σ = 248620189968. Its totient is φ = 42560537600.

The previous prime is 106667379407. The next prime is 106667379491. The reversal of 106667379440 is 44973766601.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1066673794402 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1630442 + ... + 1694601.

Almost surely, 2106667379440 is an apocalyptic number.

106667379440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106667379440 is an abundant number, since it is smaller than the sum of its proper divisors (141952810528).

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

106667379440 is a wasteful number, since it uses less digits than its factorization.

106667379440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3325457 (or 3325451 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 53.

The spelling of 106667379440 in words is "one hundred six billion, six hundred sixty-seven million, three hundred seventy-nine thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 401 802 1604 2005 3208 4010 6416 8020 16040 32080 3325043 6650086 13300172 16625215 26600344 33250430 53200688 66500860 133001720 266003440 1333342243 2666684486 5333368972 6666711215 10666737944 13333422430 21333475888 26666844860 53333689720 106667379440