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106550161668 = 22331303757157
BaseRepresentation
bin110001100111011100…
…0100111000100000100
3101012000122221000212000
41203032320213010010
53221203320133133
6120540511425300
710461261300516
oct1431670470404
9335018830760
10106550161668
1141207874555
1218797525230
13a080874452
14522ad61bb6
152b892e8413
hex18cee27104

106550161668 has 48 divisors (see below), whose sum is σ = 276453528960. Its totient is φ = 35489416032.

The previous prime is 106550161661. The next prime is 106550161687. The reversal of 106550161668 is 866161055601.

106550161668 is a `hidden beast` number, since 10 + 6 + 550 + 16 + 16 + 68 = 666.

It is a super-2 number, since 2×1065501616682 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106550161661) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 237855 + ... + 519302.

It is an arithmetic number, because the mean of its divisors is an integer number (5759448520).

Almost surely, 2106550161668 is an apocalyptic number.

106550161668 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

106550161668 is an abundant number, since it is smaller than the sum of its proper divisors (169903367292).

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

106550161668 is a wasteful number, since it uses less digits than its factorization.

106550161668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758473 (or 758465 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 106550161668 in words is "one hundred six billion, five hundred fifty million, one hundred sixty-one thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 1303 2606 3909 5212 7818 11727 15636 23454 35181 46908 70362 140724 757157 1514314 2271471 3028628 4542942 6814413 9085884 13628826 20443239 27257652 40886478 81772956 986575571 1973151142 2959726713 3946302284 5919453426 8879180139 11838906852 17758360278 26637540417 35516720556 53275080834 106550161668