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85040087780 = 22529435957793
BaseRepresentation
bin100111100110011001…
…0001100001011100100
322010111120221001122202
41033030302030023210
52343130230302110
6103022240114032
76100241551034
oct1171462141344
9263446831582
1085040087780
1133079a0468a
1214593905918
13803338b18b
14418a2b38c4
15232abe30a5
hex13ccc8c2e4

85040087780 has 96 divisors (see below), whose sum is σ = 192245961600. Its totient is φ = 31535013888.

The previous prime is 85040087761. The next prime is 85040087789. The reversal of 85040087780 is 8778004058.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (85040087789) 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 31 ways as a sum of consecutive naturals, for example, 1442564 + ... + 1500356.

It is an arithmetic number, because the mean of its divisors is an integer number (2002562100).

Almost surely, 285040087780 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85040087780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96122980800).

85040087780 is an abundant number, since it is smaller than the sum of its proper divisors (107205873820).

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

85040087780 is a wasteful number, since it uses less digits than its factorization.

85040087780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57933 (or 57931 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 47.

The spelling of 85040087780 in words is "eighty-five billion, forty million, eighty-seven thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 20 29 43 58 59 86 116 118 145 172 215 236 290 295 430 580 590 860 1180 1247 1711 2494 2537 3422 4988 5074 6235 6844 8555 10148 12470 12685 17110 24940 25370 34220 50740 57793 73573 115586 147146 231172 288965 294292 367865 577930 735730 1155860 1471460 1675997 2485099 3351994 3409787 4970198 6703988 6819574 8379985 9940396 12425495 13639148 16759970 17048935 24850990 33519940 34097870 49701980 68195740 72067871 98883823 144135742 146620841 197767646 288271484 293241682 360339355 395535292 494419115 586483364 720678710 733104205 988838230 1441357420 1466208410 1977676460 2932416820 4252004389 8504008778 17008017556 21260021945 42520043890 85040087780