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85204439100 = 223252118606509
BaseRepresentation
bin100111101011010010…
…1001001000000111100
322010221001011222021200
41033112211021000330
52343444314022400
6103050430455500
76104305532304
oct1172645110074
9263831158250
1085204439100
1133153759220
121461a964590
13805b443391
1441a4056604
15233a359b00
hex13d694903c

85204439100 has 108 divisors (see below), whose sum is σ = 291347576520. Its totient is φ = 20655619200.

The previous prime is 85204439057. The next prime is 85204439101. The reversal of 85204439100 is 193440258.

85204439100 is a `hidden beast` number, since 8 + 5 + 204 + 439 + 10 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85204439101) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 4293355 + ... + 4313154.

Almost surely, 285204439100 is an apocalyptic number.

It is an amenable number.

85204439100 is an abundant number, since it is smaller than the sum of its proper divisors (206143137420).

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

85204439100 is a wasteful number, since it uses less digits than its factorization.

85204439100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8606540 (or 8606530 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 85204439100 its reverse (193440258), we get a palindrome (85397879358).

The spelling of 85204439100 in words is "eighty-five billion, two hundred four million, four hundred thirty-nine thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 25 30 33 36 44 45 50 55 60 66 75 90 99 100 110 132 150 165 180 198 220 225 275 300 330 396 450 495 550 660 825 900 990 1100 1650 1980 2475 3300 4950 9900 8606509 17213018 25819527 34426036 43032545 51639054 77458581 86065090 94671599 103278108 129097635 154917162 172130180 189343198 215162725 258195270 284014797 309834324 378686396 387292905 430325450 473357995 516390540 568029594 645488175 774585810 852044391 860650900 946715990 1136059188 1290976350 1420073985 1549171620 1704088782 1893431980 1936464525 2366789975 2581952700 2840147970 3408177564 3872929050 4260221955 4733579950 5680295940 7100369925 7745858100 8520443910 9467159900 14200739850 17040887820 21301109775 28401479700 42602219550 85204439100