Search a number
-
+
20478248459064 = 23331115157078089
BaseRepresentation
bin1001010011111111101101…
…01110011001101100111000
32200111200221100022110012000
410221333312232121230320
510141003423101142224
6111315324422221000
74212335041606104
oct451776656315470
980450840273160
1020478248459064
11658585a42a920
1223689a3b84760
13b57123c02a16
1450b21c6d8904
15257a460b80c9
hex129ff6b99b38

20478248459064 has 128 divisors (see below), whose sum is σ = 62466261696000. Its totient is φ = 6164433504000.

The previous prime is 20478248459017. The next prime is 20478248459087. The reversal of 20478248459064 is 46095484287402.

It is a happy number.

20478248459064 is a `hidden beast` number, since 2 + 0 + 4 + 7 + 8 + 2 + 484 + 5 + 90 + 64 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 20478248458992 and 20478248459010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28180269 + ... + 28897820.

It is an arithmetic number, because the mean of its divisors is an integer number (488017669500).

Almost surely, 220478248459064 is an apocalyptic number.

20478248459064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20478248459064 is an abundant number, since it is smaller than the sum of its proper divisors (41988013236936).

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

20478248459064 is a wasteful number, since it uses less digits than its factorization.

20478248459064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57078266 (or 57078256 counting only the distinct ones).

The product of its (nonzero) digits is 123863040, while the sum is 63.

The spelling of 20478248459064 in words is "twenty trillion, four hundred seventy-eight billion, two hundred forty-eight million, four hundred fifty-nine thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 151 198 216 264 297 302 396 453 594 604 792 906 1188 1208 1359 1661 1812 2376 2718 3322 3624 4077 4983 5436 6644 8154 9966 10872 13288 14949 16308 19932 29898 32616 39864 44847 59796 89694 119592 179388 358776 57078089 114156178 171234267 228312356 342468534 456624712 513702801 627858979 684937068 1027405602 1255717958 1369874136 1541108403 1883576937 2054811204 2511435916 3082216806 3767153874 4109622408 5022871832 5650730811 6164433612 7534307748 8618791439 11301461622 12328867224 15068615496 16952192433 17237582878 22602923244 25856374317 33904384866 34475165756 45205846488 51712748634 67808769732 68950331512 77569122951 94806705829 103425497268 135617539464 155138245902 189613411658 206850994536 232707368853 284420117487 310276491804 379226823316 465414737706 568840234974 620552983608 758453646632 853260352461 930829475412 1137680469948 1706520704922 1861658950824 2275360939896 2559781057383 3413041409844 5119562114766 6826082819688 10239124229532 20478248459064