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36220352040 = 2334511179121
BaseRepresentation
bin100001101110111001…
…101011011000101000
310110111020222112020000
4201232321223120220
51043134402231130
624350035503000
72421400624665
oct415671533050
9113436875200
1036220352040
11143a7498644
12702a157a60
133552cc2892
141a78616a6c
15e1ec8b260
hex86ee6b628

36220352040 has 80 divisors (see below), whose sum is σ = 121740638580. Its totient is φ = 9658759680.

The previous prime is 36220352033. The next prime is 36220352089. The reversal of 36220352040 is 4025302263.

36220352040 is a `hidden beast` number, since 3 + 622 + 0 + 35 + 2 + 0 + 4 + 0 = 666.

36220352040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 35932235364 + 288116676 = 189558^2 + 16974^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 36220351995 and 36220352013.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5586321 + ... + 5592800.

Almost surely, 236220352040 is an apocalyptic number.

36220352040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36220352040 is an abundant number, since it is smaller than the sum of its proper divisors (85520286540).

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

36220352040 is a wasteful number, since it uses less digits than its factorization.

36220352040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11179144 (or 11179131 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The spelling of 36220352040 in words is "thirty-six billion, two hundred twenty million, three hundred fifty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 11179121 22358242 33537363 44716484 55895605 67074726 89432968 100612089 111791210 134149452 167686815 201224178 223582420 268298904 301836267 335373630 402448356 447164840 503060445 603672534 670747260 804896712 905508801 1006120890 1207345068 1341494520 1509181335 1811017602 2012241780 2414690136 3018362670 3622035204 4024483560 4527544005 6036725340 7244070408 9055088010 12073450680 18110176020 36220352040