Search a number
-
+
20380576554450 = 23252744314605021
BaseRepresentation
bin1001010001001001110010…
…00001101001110111010010
32200011100211102101121102100
410220210321001221313102
510132403410044220300
6111202412502301230
74202306454245520
oct450447101516722
980140742347370
1020380576554450
1165483991652a2
122351a85a27816
13b4ab59824518
145065d493b310
1525522b44e700
hex128939069dd2

20380576554450 has 144 divisors (see below), whose sum is σ = 62719339116096. Its totient is φ = 4647901564800.

The previous prime is 20380576554449. The next prime is 20380576554463. The reversal of 20380576554450 is 5445567508302.

20380576554450 is a `hidden beast` number, since 2 + 0 + 3 + 80 + 5 + 7 + 6 + 554 + 4 + 5 + 0 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5907061 + ... + 8697960.

It is an arithmetic number, because the mean of its divisors is an integer number (435550966084).

Almost surely, 220380576554450 is an apocalyptic number.

20380576554450 is an abundant number, since it is smaller than the sum of its proper divisors (42338762561646).

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

20380576554450 is a wasteful number, since it uses less digits than its factorization.

20380576554450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14605489 (or 14605481 counting only the distinct ones).

The product of its (nonzero) digits is 20160000, while the sum is 54.

The spelling of 20380576554450 in words is "twenty trillion, three hundred eighty billion, five hundred seventy-six million, five hundred fifty-four thousand, four hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 35 42 45 50 63 70 75 90 105 126 150 175 210 225 315 350 443 450 525 630 886 1050 1329 1575 2215 2658 3101 3150 3987 4430 6202 6645 7974 9303 11075 13290 15505 18606 19935 22150 27909 31010 33225 39870 46515 55818 66450 77525 93030 99675 139545 155050 199350 232575 279090 465150 697725 1395450 14605021 29210042 43815063 73025105 87630126 102235147 131445189 146050210 204470294 219075315 262890378 306705441 365125525 438150630 511175735 613410882 657225945 730251050 920116323 1022351470 1095376575 1314451890 1533527205 1840232646 2190753150 2555878675 3067054410 3286129725 4600581615 5111757350 6470024303 6572259450 7667636025 9201163230 12940048606 15335272050 19410072909 23002908075 32350121515 38820145818 45290170121 46005816150 58230218727 64700243030 90580340242 97050364545 116460437454 135870510363 161750607575 194100729090 226450850605 271741020726 291151093635 323501215150 407611531089 452901701210 485251822725 582302187270 679352551815 815223062178 970503645450 1132254253025 1358705103630 1455755468175 2038057655445 2264508506050 2911510936350 3396762759075 4076115310890 6793525518150 10190288277225 20380576554450