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20328321585636 = 223446325412
BaseRepresentation
bin1001001111101000011100…
…11000110001000111100100
32122222100221200110011010000
410213310032120301013210
510131024400311220021
6111122411345101300
74165446521322621
oct447641630610744
978870850404100
1020328321585636
116528213638859
122343921927830
13b45c4c84822c
14503c78941348
15253bbdb30b26
hex127d0e6311e4

20328321585636 has 135 divisors (see below), whose sum is σ = 53355898314873. Its totient is φ = 6748973874720.

The previous prime is 20328321585617. The next prime is 20328321585647. The reversal of 20328321585636 is 63658512382302.

The square root of 20328321585636 is 4508694.

It is a perfect power (a square), and thus also a powerful number.

20328321585636 is a `hidden beast` number, since 2 + 0 + 3 + 2 + 8 + 3 + 21 + 58 + 563 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8076361507236 + 12251960078400 = 2841894^2 + 3500280^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 37575455526 + ... + 37575456066.

Almost surely, 220328321585636 is an apocalyptic number.

20328321585636 is the 4508694-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20328321585636

20328321585636 is an abundant number, since it is smaller than the sum of its proper divisors (33027576729237).

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

20328321585636 is an frugal number, since it uses more digits than its factorization.

20328321585636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2024 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 20328321585636 in words is "twenty trillion, three hundred twenty-eight billion, three hundred twenty-one million, five hundred eighty-five thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 463 541 926 1082 1389 1623 1852 2164 2778 3246 4167 4869 5556 6492 8334 9738 12501 14607 16668 19476 25002 29214 37503 43821 50004 58428 75006 87642 150012 175284 214369 250483 292681 428738 500966 585362 643107 751449 857476 878043 1001932 1170724 1286214 1502898 1756086 1929321 2254347 2572428 2634129 3005796 3512172 3858642 4508694 5268258 5787963 6763041 7717284 7902387 9017388 10536516 11575926 13526082 15804774 17363889 20289123 23151852 23707161 27052164 31609548 34727778 40578246 47414322 69455556 81156492 94828644 115973629 135511303 231947258 271022606 347920887 406533909 463894516 542045212 695841774 813067818 1043762661 1219601727 1391683548 1626135636 2087525322 2439203454 3131287983 3658805181 4175050644 4878406908 6262575966 7317610362 9393863949 10976415543 12525151932 14635220724 18787727898 21952831086 37575455796 43905662172 62741733289 125483466578 188225199867 250966933156 376450399734 564675599601 752900799468 1129351199202 1694026798803 2258702398404 3388053597606 5082080396409 6776107195212 10164160792818 20328321585636