Search a number
-
+
10427773945560 = 2335349279789021
BaseRepresentation
bin1001011110111110011111…
…0000110000011011011000
31100220212220111101020120120
42113233213300300123120
52331322040112224220
634102241521153240
72124244650031446
oct227574760603330
940825814336516
1010427773945560
1133604375a4834
121204b8048b820
135a844790717a
142809c7c39b96
151313b4ceda40
hex97be7c306d8

10427773945560 has 128 divisors (see below), whose sum is σ = 31384528056000. Its totient is φ = 2771749509120.

The previous prime is 10427773945553. The next prime is 10427773945571. The reversal of 10427773945560 is 6554937772401.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 10427773945494 and 10427773945503.

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, 117093850 + ... + 117182870.

Almost surely, 210427773945560 is an apocalyptic number.

10427773945560 is a gapful number since it is divisible by the number (10) 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 10427773945560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15692264028000).

10427773945560 is an abundant number, since it is smaller than the sum of its proper divisors (20956754110440).

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

10427773945560 is a wasteful number, since it uses less digits than its factorization.

10427773945560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92181 (or 92177 counting only the distinct ones).

The product of its (nonzero) digits is 44452800, while the sum is 60.

The spelling of 10427773945560 in words is "ten trillion, four hundred twenty-seven billion, seven hundred seventy-three million, nine hundred forty-five thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 349 698 1047 1396 1745 2094 2792 2797 3490 4188 5235 5594 6980 8376 8391 10470 11188 13960 13985 16782 20940 22376 27970 33564 41880 41955 55940 67128 83910 89021 111880 167820 178042 267063 335640 356084 445105 534126 712168 890210 976153 1068252 1335315 1780420 1952306 2136504 2670630 2928459 3560840 3904612 4880765 5341260 5856918 7809224 9761530 10682520 11713836 14642295 19523060 23427672 29284590 31068329 39046120 58569180 62136658 93204987 117138360 124273316 155341645 186409974 248546632 248991737 310683290 372819948 466024935 497983474 621366580 745639896 746975211 932049870 995966948 1242733160 1244958685 1493950422 1864099740 1991933896 2489917370 2987900844 3728199480 3734876055 4979834740 5975801688 7469752110 9959669480 14939504220 29879008440 86898116213 173796232426 260694348639 347592464852 434490581065 521388697278 695184929704 868981162130 1042777394556 1303471743195 1737962324260 2085554789112 2606943486390 3475924648520 5213886972780 10427773945560