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1226920966404 = 2237289137171131
BaseRepresentation
bin10001110110101010001…
…100000011100100000100
311100021220020020220022020
4101312222030003210010
5130100213231411104
62335350102203140
7154433150066400
oct21665214034404
94307806226266
101226920966404
11433374999661
121799514234b0
138b90cab6023
1443551a76100
1521dad35d2d9
hex11daa303904

1226920966404 has 144 divisors (see below), whose sum is σ = 3392233266240. Its totient is φ = 344078085120.

The previous prime is 1226920966393. The next prime is 1226920966417. The reversal of 1226920966404 is 4046690296221.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7083919 + ... + 7255049.

It is an arithmetic number, because the mean of its divisors is an integer number (23557175460).

Almost surely, 21226920966404 is an apocalyptic number.

1226920966404 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1226920966404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1696116633120).

1226920966404 is an abundant number, since it is smaller than the sum of its proper divisors (2165312299836).

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

1226920966404 is a wasteful number, since it uses less digits than its factorization.

1226920966404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171378 (or 171369 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 51.

The spelling of 1226920966404 in words is "one trillion, two hundred twenty-six billion, nine hundred twenty million, nine hundred sixty-six thousand, four hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 89 98 137 147 178 196 267 274 294 356 411 534 548 588 623 822 959 1068 1246 1644 1869 1918 2492 2877 3738 3836 4361 5754 6713 7476 8722 11508 12193 13083 13426 17444 20139 24386 26166 26852 36579 40278 48772 52332 73158 80556 85351 146316 170702 171131 256053 341404 342262 512106 513393 597457 684524 1024212 1026786 1194914 1197917 1792371 2053572 2389828 2395834 3584742 3593751 4791668 7169484 7187502 8385419 14375004 15230659 16770838 23444947 25156257 30461318 33541676 45691977 46889894 50312514 60922636 70334841 91383954 93779788 100625028 106614613 140669682 164114629 182767908 213229226 281339364 319843839 328229258 426458452 492343887 639687678 656458516 746302291 984687774 1148802403 1279375356 1492604582 1969375548 2086600283 2238906873 2297604806 2985209164 3446407209 4173200566 4477813746 4595209612 6259800849 6892814418 8346401132 8955627492 12519601698 13785628836 14606201981 25039203396 29212403962 43818605943 58424807924 87637211886 102243413867 175274423772 204486827734 306730241601 408973655468 613460483202 1226920966404