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106933116618 = 23247261748299
BaseRepresentation
bin110001110010110110…
…1011101111011001010
3101020000100112011021200
41203211231131323022
53222444334212433
6121042511445030
710503621331326
oct1434555357312
9336010464250
10106933116618
1141393a58249
1218883826776
13a111cc8603
145265b6a986
152bacc41613
hex18e5b5deca

106933116618 has 48 divisors (see below), whose sum is σ = 236713276800. Its totient is φ = 34871928768.

The previous prime is 106933116613. The next prime is 106933116683. The reversal of 106933116618 is 816611339601.

106933116618 is a `hidden beast` number, since 10 + 6 + 9 + 3 + 3 + 1 + 16 + 618 = 666.

It is a super-2 number, since 2×1069331166182 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106933116613) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2189833 + ... + 2238131.

It is an arithmetic number, because the mean of its divisors is an integer number (4931526600).

Almost surely, 2106933116618 is an apocalyptic number.

106933116618 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

106933116618 is an abundant number, since it is smaller than the sum of its proper divisors (129780160182).

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

106933116618 is a wasteful number, since it uses less digits than its factorization.

106933116618 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50971 (or 50968 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 106933116618 in words is "one hundred six billion, nine hundred thirty-three million, one hundred sixteen thousand, six hundred eighteen".

Divisors: 1 2 3 6 9 18 47 94 141 282 423 846 2617 5234 7851 15702 23553 47106 48299 96598 122999 144897 245998 289794 368997 434691 737994 869382 1106991 2213982 2270053 4540106 6810159 13620318 20430477 40860954 126398483 252796966 379195449 758390898 1137586347 2275172694 5940728701 11881457402 17822186103 35644372206 53466558309 106933116618