Search a number
-
+
1006688840080 = 245711214856683
BaseRepresentation
bin11101010011000110101…
…01001010100110010000
310120020102212122201002211
432221203111022212100
5112443144320340310
62050244431321504
7132505454645350
oct16514325124620
93506385581084
101006688840080
11358a30673500
1214312a080294
1373c12c97191
1436a1c926b60
151b2bdab9c8a
hexea6354a990

1006688840080 has 120 divisors (see below), whose sum is σ = 2940197190336. Its totient is φ = 313773123840.

The previous prime is 1006688840071. The next prime is 1006688840089. The reversal of 1006688840080 is 800488866001.

It is an interprime number because it is at equal distance from previous prime (1006688840071) and next prime (1006688840089).

It is not an unprimeable number, because it can be changed into a prime (1006688840089) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7360582 + ... + 7496101.

Almost surely, 21006688840080 is an apocalyptic number.

1006688840080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1006688840080 is an abundant number, since it is smaller than the sum of its proper divisors (1933508350256).

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

1006688840080 is a wasteful number, since it uses less digits than its factorization.

1006688840080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14856725 (or 14856708 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 49.

The spelling of 1006688840080 in words is "one trillion, six billion, six hundred eighty-eight million, eight hundred forty thousand, eighty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 121 140 154 176 220 242 280 308 385 440 484 560 605 616 770 847 880 968 1210 1232 1540 1694 1936 2420 3080 3388 4235 4840 6160 6776 8470 9680 13552 16940 33880 67760 14856683 29713366 59426732 74283415 103996781 118853464 148566830 163423513 207993562 237706928 297133660 326847026 415987124 519983905 594267320 653694052 817117565 831974248 1039967810 1143964591 1188534640 1307388104 1634235130 1663948496 1797658643 2079935620 2287929182 2614776208 3268470260 3595317286 4159871240 4575858364 5719822955 6536940520 7190634572 8319742480 8988293215 9151716728 11439645910 12583610501 13073881040 14381269144 17976586430 18303433456 22879291820 25167221002 28762538288 35953172860 45758583640 50334442004 62918052505 71906345720 91517167280 100668884008 125836105010 143812691440 201337768016 251672210020 503344420040 1006688840080