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20403558789328 = 24111344232016197
BaseRepresentation
bin1001010001110100100101…
…10111111011000011010000
32200020120011002112002211201
410220322102313323003100
510133242442022224303
6111221133203320544
74204052131104661
oct450722267730320
980216132462751
1020403558789328
116557112020540
12235641a680154
13b50080003580
14507774d23368
15255b23e0081d
hex128e92dfb0d0

20403558789328 has 80 divisors (see below), whose sum is σ = 46453589030016. Its totient is φ = 8558993963520.

The previous prime is 20403558789253. The next prime is 20403558789329. The reversal of 20403558789328 is 82398785530402.

It is a super-2 number, since 2×204035587893282 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20403558789328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20403558789329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9111726 + ... + 11127922.

Almost surely, 220403558789328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20403558789328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23226794515008).

20403558789328 is an abundant number, since it is smaller than the sum of its proper divisors (26050030240688).

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

20403558789328 is a wasteful number, since it uses less digits than its factorization.

20403558789328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2020652 (or 2020646 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 64.

The spelling of 20403558789328 in words is "twenty trillion, four hundred three billion, five hundred fifty-eight million, seven hundred eighty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 143 176 208 286 572 1144 2288 4423 8846 17692 35384 48653 57499 70768 97306 114998 194612 229996 389224 459992 632489 778448 919984 1264978 2016197 2529956 4032394 5059912 8064788 10119824 16129576 22178167 26210561 32259152 44356334 52421122 88712668 104842244 177425336 209684488 288316171 354850672 419368976 576632342 1153264684 2306529368 4613058736 8917639331 17835278662 35670557324 71341114648 98094032641 115929311303 142682229296 196188065282 231858622606 392376130564 463717245212 784752261128 927434490424 1275222424333 1569504522256 1854868980848 2550444848666 5100889697332 10201779394664 20403558789328