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106434605333064 = 2336172701233151
BaseRepresentation
bin11000001100110100111100…
…110101111011101001001000
3111221212001022122110111212010
4120030310330311323221020
5102422311032431124224
61014211214354215520
731263434512060341
oct3014647465735110
9457761278414763
10106434605333064
1130a05731a69938
12bb2b8a5b845a0
1347509813429c8
141c3d668ad70c8
15c4891d222e29
hex60cd3cd7ba48

106434605333064 has 32 divisors (see below), whose sum is σ = 270448587325440. Its totient is φ = 34896591912000.

The previous prime is 106434605333047. The next prime is 106434605333117. The reversal of 106434605333064 is 460333506434601.

It is a super-2 number, since 2×1064346053330642 (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

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, 36350615112 + ... + 36350618039.

It is an arithmetic number, because the mean of its divisors is an integer number (8451518353920).

Almost surely, 2106434605333064 is an apocalyptic number.

It is an amenable number.

106434605333064 is an abundant number, since it is smaller than the sum of its proper divisors (164013981992376).

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

106434605333064 is a wasteful number, since it uses less digits than its factorization.

106434605333064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72701233221 (or 72701233217 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 48.

The spelling of 106434605333064 in words is "one hundred six trillion, four hundred thirty-four billion, six hundred five million, three hundred thirty-three thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 24 61 122 183 244 366 488 732 1464 72701233151 145402466302 218103699453 290804932604 436207398906 581609865208 872414797812 1744829595624 4434775222211 8869550444422 13304325666633 17739100888844 26608651333266 35478201777688 53217302666532 106434605333064