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85751653000 = 23531349913219
BaseRepresentation
bin100111111011100110…
…0100110001010001000
322012100011212022122011
41033313030212022020
52401104410344000
6103221015305304
76124002011146
oct1176714461210
9265304768564
1085751653000
1133404633112
121475207b234
1381179196a0
1442169bc596
15236d3ec2ba
hex13f7326288

85751653000 has 128 divisors (see below), whose sum is σ = 216543600000. Its totient is φ = 31596307200.

The previous prime is 85751652949. The next prime is 85751653007. The reversal of 85751653000 is 35615758.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (85751653007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6480391 + ... + 6493609.

It is an arithmetic number, because the mean of its divisors is an integer number (1691746875).

Almost surely, 285751653000 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 85751653000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108271800000).

85751653000 is an abundant number, since it is smaller than the sum of its proper divisors (130791947000).

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

85751653000 is a wasteful number, since it uses less digits than its factorization.

85751653000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13752 (or 13738 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 40.

The spelling of 85751653000 in words is "eighty-five billion, seven hundred fifty-one million, six hundred fifty-three thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 499 500 520 650 998 1000 1300 1625 1996 2495 2600 3250 3992 4990 6487 6500 9980 12475 12974 13000 13219 19960 24950 25948 26438 32435 49900 51896 52876 62375 64870 66095 99800 105752 124750 129740 132190 162175 171847 249500 259480 264380 324350 330475 343694 499000 528760 648700 660950 687388 810875 859235 1297400 1321900 1374776 1621750 1652375 1718470 2643800 3243500 3304750 3436940 4296175 6487000 6596281 6609500 6873880 8592350 13192562 13219000 17184700 21480875 26385124 32981405 34369400 42961750 52770248 65962810 85751653 85923500 131925620 164907025 171503306 171847000 263851240 329814050 343006612 428758265 659628100 686013224 824535125 857516530 1319256200 1649070250 1715033060 2143791325 3298140500 3430066120 4287582650 6596281000 8575165300 10718956625 17150330600 21437913250 42875826500 85751653000