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109465496064 = 29337918511
BaseRepresentation
bin110010111110010100…
…1101110101000000000
3101110112211122100211000
41211330221232220000
53243141131333224
6122142053252000
710623441235641
oct1457451565000
9343484570730
10109465496064
1142473467421
121926b934000
13a426853aa2
1454262096c8
152caa2160c9
hex197ca6ea00

109465496064 has 80 divisors (see below), whose sum is σ = 324025511040. Its totient is φ = 36488494080.

The previous prime is 109465496017. The next prime is 109465496071. The reversal of 109465496064 is 460694564901.

109465496064 is a `hidden beast` number, since 1 + 0 + 94 + 6 + 5 + 496 + 0 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 109465496064.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3945432 + ... + 3973079.

It is an arithmetic number, because the mean of its divisors is an integer number (4050318888).

Almost surely, 2109465496064 is an apocalyptic number.

It is an amenable number.

109465496064 is an abundant number, since it is smaller than the sum of its proper divisors (214560014976).

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

109465496064 is an frugal number, since it uses more digits than its factorization.

109465496064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7918538 (or 7918516 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 109465496064 in words is "one hundred nine billion, four hundred sixty-five million, four hundred ninety-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1152 1536 1728 2304 3456 4608 6912 13824 7918511 15837022 23755533 31674044 47511066 63348088 71266599 95022132 126696176 142533198 190044264 213799797 253392352 285066396 380088528 427599594 506784704 570132792 760177056 855199188 1013569408 1140265584 1520354112 1710398376 2027138816 2280531168 3040708224 3420796752 4054277632 4561062336 6081416448 6841593504 9122124672 12162832896 13683187008 18244249344 27366374016 36488498688 54732748032 109465496064