Search a number
-
+
20054536425 = 32527116071907
BaseRepresentation
bin10010101011010101…
…111111000011101001
31220202122011000011100
4102223111333003221
5312032430131200
613113554152013
71306653514140
oct225325770351
956678130140
1020054536425
118561299050
123a78282609
131b77a90b01
14d83640757
157c593ed00
hex4ab57f0e9

20054536425 has 144 divisors (see below), whose sum is σ = 44880556032. Its totient is φ = 8316259200.

The previous prime is 20054536367. The next prime is 20054536427. The reversal of 20054536425 is 52463545002.

20054536425 is a `hidden beast` number, since 2 + 0 + 0 + 5 + 4 + 5 + 3 + 642 + 5 = 666.

It is not a de Polignac number, because 20054536425 - 27 = 20054536297 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 20054536425.

It is not an unprimeable number, because it can be changed into a prime (20054536427) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10515322 + ... + 10517228.

It is an arithmetic number, because the mean of its divisors is an integer number (311670528).

Almost surely, 220054536425 is an apocalyptic number.

20054536425 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

20054536425 is an abundant number, since it is smaller than the sum of its proper divisors (24826019607).

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

20054536425 is a wasteful number, since it uses less digits than its factorization.

20054536425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2548 (or 2540 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 20054536425 in words is "twenty billion, fifty-four million, five hundred thirty-six thousand, four hundred twenty-five".

Divisors: 1 3 5 7 9 11 15 21 25 33 35 45 55 63 75 77 99 105 165 175 225 231 275 315 385 495 525 607 693 825 1155 1575 1821 1907 1925 2475 3035 3465 4249 5463 5721 5775 6677 9105 9535 12747 13349 15175 17163 17325 20031 20977 21245 27315 28605 33385 38241 40047 45525 46739 47675 60093 62931 63735 66745 85815 100155 104885 106225 120141 136575 140217 143025 146839 166925 188793 191205 200235 233695 300465 314655 318675 333725 420651 429075 440517 500775 524425 600705 701085 734195 943965 956025 1001175 1157549 1168475 1321551 1502325 1573275 2103255 2202585 3003525 3472647 3505425 3670975 4719825 5787745 6607755 8102843 10417941 10516275 11012925 12733039 17363235 24308529 28938725 33038775 38199117 40514215 52089705 63665195 72925587 86816175 89131273 114597351 121542645 190995585 202571075 260448525 267393819 318325975 364627935 445656365 572986755 607713225 802181457 954977925 1336969095 1823139675 2228281825 2864933775 4010907285 6684845475 20054536425