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20640068358084 = 223271271009639169
BaseRepresentation
bin1001011000101101000111…
…11100010100111111000100
32201002011121212000001022100
410230112203330110333010
510201131324444424314
6111521525544232100
74230124064215260
oct454264374247704
981064555001270
1020640068358084
11663844955905a
12239422516b630
13b69472208b66
14514dadbc50a0
1525bd676dec09
hex12c5a3f14fc4

20640068358084 has 144 divisors (see below), whose sum is σ = 60156021452800. Its totient is φ = 5844920352768.

The previous prime is 20640068357983. The next prime is 20640068358113. The reversal of 20640068358084 is 48085386004602.

20640068358084 is a `hidden beast` number, since 2 + 0 + 6 + 400 + 6 + 83 + 5 + 80 + 84 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 20640068358084.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31972452 + ... + 32611620.

Almost surely, 220640068358084 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 20640068358084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30078010726400).

20640068358084 is an abundant number, since it is smaller than the sum of its proper divisors (39515953094716).

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

20640068358084 is a wasteful number, since it uses less digits than its factorization.

20640068358084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640322 (or 640317 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 20640068358084 in words is "twenty trillion, six hundred forty billion, sixty-eight million, three hundred fifty-eight thousand, eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 127 252 254 381 508 762 889 1009 1143 1524 1778 2018 2286 2667 3027 3556 4036 4572 5334 6054 7063 8001 9081 10668 12108 14126 16002 18162 21189 28252 32004 36324 42378 63567 84756 127134 128143 254268 256286 384429 512572 639169 768858 897001 1153287 1278338 1537716 1794002 1917507 2306574 2556676 2691003 3588004 3835014 4474183 4613148 5382006 5752521 7670028 8073009 8948366 10764012 11505042 13422549 16146018 17896732 23010084 26845098 32292036 40267647 53690196 80535294 81174463 161070588 162348926 243523389 324697852 487046778 568221241 644921521 730570167 974093556 1136442482 1289843042 1461140334 1704663723 1934764563 2272884964 2579686084 2922280668 3409327446 3869529126 4514450647 5113991169 5804293689 6818654892 7739058252 9028901294 10227982338 11608587378 13543351941 18057802588 20455964676 23217174756 27086703882 40630055823 54173407764 81260111646 81905033167 162520223292 163810066334 245715099501 327620132668 491430199002 573335232169 737145298503 982860398004 1146670464338 1474290597006 1720005696507 2293340928676 2948581194012 3440011393014 5160017089521 6880022786028 10320034179042 20640068358084