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36075684060 = 223251348731657
BaseRepresentation
bin100001100110010001…
…110100000011011100
310110010011202122001200
4201212101310003130
51042340333342220
624323431035500
72414663153313
oct414621640334
9113104678050
1036075684060
1114332868429
126ba980bb90
13352c03c920
141a6331927a
15e12211890
hex8664740dc

36075684060 has 144 divisors (see below), whose sum is σ = 118092950976. Its totient is φ = 8861654016.

The previous prime is 36075684049. The next prime is 36075684067. The reversal of 36075684060 is 6048657063.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 36075683997 and 36075684015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36075684067) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1123752 + ... + 1155408.

Almost surely, 236075684060 is an apocalyptic number.

36075684060 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36075684060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59046475488).

36075684060 is an abundant number, since it is smaller than the sum of its proper divisors (82017266916).

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

36075684060 is a wasteful number, since it uses less digits than its factorization.

36075684060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32172 (or 32167 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 36075684060 in words is "thirty-six billion, seventy-five million, six hundred eighty-four thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 487 585 780 974 1170 1461 1948 2340 2435 2922 4383 4870 5844 6331 7305 8766 9740 12662 14610 17532 18993 21915 25324 29220 31655 31657 37986 43830 56979 63310 63314 75972 87660 94965 94971 113958 126620 126628 158285 189930 189942 227916 284895 284913 316570 379860 379884 411541 474855 569790 569826 633140 823082 949710 1139580 1139652 1234623 1424565 1646164 1899420 2057705 2469246 2849130 3703869 4115410 4938492 5698260 6173115 7407738 8230820 12346230 14815476 15416959 18519345 24692460 30833918 37038690 46250877 61667836 74077380 77084795 92501754 138752631 154169590 185003508 200420467 231254385 277505262 308339180 400840934 462508770 555010524 601261401 693763155 801681868 925017540 1002102335 1202522802 1387526310 1803784203 2004204670 2405045604 2775052620 3006307005 3607568406 4008409340 6012614010 7215136812 9018921015 12025228020 18037842030 36075684060