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106422116958 = 23213734306147
BaseRepresentation
bin110001100011101000…
…0001010001001011110
3101011200201222200112100
41203013100022021132
53220423030220313
6120520055145530
710455145032363
oct1430720121136
9334621880470
10106422116958
1141151568683
12187606752a6
13a060191951
145217d5046a
152b7ce54173
hex18c740a25e

106422116958 has 24 divisors (see below), whose sum is σ = 230749246728. Its totient is φ = 35448193872.

The previous prime is 106422116951. The next prime is 106422116971. The reversal of 106422116958 is 859611224601.

106422116958 is a `hidden beast` number, since 10 + 6 + 422 + 1 + 169 + 58 = 666.

It is a super-2 number, since 2×1064221169582 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106422116951) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2128360 + ... + 2177787.

It is an arithmetic number, because the mean of its divisors is an integer number (9614551947).

Almost surely, 2106422116958 is an apocalyptic number.

106422116958 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

106422116958 is an abundant number, since it is smaller than the sum of its proper divisors (124327129770).

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

106422116958 is a wasteful number, since it uses less digits than its factorization.

106422116958 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4307528 (or 4307525 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 106422116958 in words is "one hundred six billion, four hundred twenty-two million, one hundred sixteen thousand, nine hundred fifty-eight".

Divisors: 1 2 3 6 9 18 1373 2746 4119 8238 12357 24714 4306147 8612294 12918441 25836882 38755323 77510646 5912339831 11824679662 17737019493 35474038986 53211058479 106422116958