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199354500808704 = 21533225326539
BaseRepresentation
bin101101010100111111010110…
…001101001000000000000000
3222010212002210221000121022000
4231110333112031020000000
5202112211004201334304
61543554105433344000
756663613241603143
oct5524772615100000
9863762727017260
10199354500808704
115857a8505aaa1a
121a4382a2b68000
13873108318c597
143732b48aca05a
15180aa04a79939
hexb54fd6348000

199354500808704 has 128 divisors (see below), whose sum is σ = 590670991956000. Its totient is φ = 66451499974656.

The previous prime is 199354500808703. The next prime is 199354500808733. The reversal of 199354500808704 is 407808005453991.

199354500808704 is a `hidden beast` number, since 1 + 9 + 9 + 3 + 54 + 500 + 8 + 0 + 8 + 70 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×1993545008087043 (a number of 44 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (199354500808703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111778534 + ... + 113548005.

Almost surely, 2199354500808704 is an apocalyptic number.

It is an amenable number.

199354500808704 is an abundant number, since it is smaller than the sum of its proper divisors (391316491147296).

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

199354500808704 is an frugal number, since it uses more digits than its factorization.

199354500808704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225326578 (or 225326544 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 199354500808704 in words is "one hundred ninety-nine trillion, three hundred fifty-four billion, five hundred million, eight hundred eight thousand, seven hundred 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 1024 1152 1536 1728 2048 2304 3072 3456 4096 4608 6144 6912 8192 9216 12288 13824 16384 18432 24576 27648 32768 36864 49152 55296 73728 98304 110592 147456 221184 294912 442368 884736 225326539 450653078 675979617 901306156 1351959234 1802612312 2027938851 2703918468 3605224624 4055877702 5407836936 6083816553 7210449248 8111755404 10815673872 12167633106 14420898496 16223510808 21631347744 24335266212 28841796992 32447021616 43262695488 48670532424 57683593984 64894043232 86525390976 97341064848 115367187968 129788086464 173050781952 194682129696 230734375936 259576172928 346101563904 389364259392 461468751872 519152345856 692203127808 778728518784 922937503744 1038304691712 1384406255616 1557457037568 1845875007488 2076609383424 2768812511232 3114914075136 3691750014976 4153218766848 5537625022464 6229828150272 7383500029952 8306437533696 11075250044928 12459656300544 16612875067392 22150500089856 24919312601088 33225750134784 49838625202176 66451500269568 99677250404352 199354500808704