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106959663378 = 23314271388041
BaseRepresentation
bin110001110011101001…
…0101111000100010010
3101020002012110212121000
41203213102233010102
53223023133212003
6121045300442430
710504363065201
oct1434722570422
9336065425530
10106959663378
11413a7a3a217
12188906a9416
13a117661859
1452694bb238
152bb02371a3
hex18e74af112

106959663378 has 32 divisors (see below), whose sum is σ = 237854877120. Its totient is φ = 35628210720.

The previous prime is 106959663361. The next prime is 106959663389. The reversal of 106959663378 is 873366959601.

106959663378 is a `hidden beast` number, since 1 + 0 + 6 + 9 + 596 + 6 + 3 + 37 + 8 = 666.

It is a super-2 number, since 2×1069596633782 (a number of 23 digits) contains 22 as substring.

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, 616963 + ... + 771078.

It is an arithmetic number, because the mean of its divisors is an integer number (7432964910).

Almost surely, 2106959663378 is an apocalyptic number.

106959663378 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

106959663378 is an abundant number, since it is smaller than the sum of its proper divisors (130895213742).

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

106959663378 is a wasteful number, since it uses less digits than its factorization.

106959663378 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1389479 (or 1389473 counting only the distinct ones).

The product of its (nonzero) digits is 44089920, while the sum is 63.

The spelling of 106959663378 in words is "one hundred six billion, nine hundred fifty-nine million, six hundred sixty-three thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 9 18 27 54 1427 2854 4281 8562 12843 25686 38529 77058 1388041 2776082 4164123 8328246 12492369 24984738 37477107 74954214 1980734507 3961469014 5942203521 11884407042 17826610563 35653221126 53479831689 106959663378