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1427190249560 = 235435931399261
BaseRepresentation
bin10100110001001011001…
…010101111100001011000
312001102211100020120211212
4110301023022233201120
5141340341200441220
63011350412042252
7205053050650445
oct24611312574130
95042740216755
101427190249560
115002a4764219
121b0723163388
13a4777b3993a
144d10d8129cc
15271d02750c5
hex14c4b2af858

1427190249560 has 64 divisors (see below), whose sum is σ = 3291400046880. Its totient is φ = 556659210240.

The previous prime is 1427190249559. The next prime is 1427190249587. The reversal of 1427190249560 is 659420917241.

It is a junction number, because it is equal to n+sod(n) for n = 1427190249499 and 1427190249508.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 320330 + ... + 1719590.

Almost surely, 21427190249560 is an apocalyptic number.

1427190249560 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 1427190249560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1645700023440).

1427190249560 is an abundant number, since it is smaller than the sum of its proper divisors (1864209797320).

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

1427190249560 is a wasteful number, since it uses less digits than its factorization.

1427190249560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1399908 (or 1399904 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 50.

The spelling of 1427190249560 in words is "one trillion, four hundred twenty-seven billion, one hundred ninety million, two hundred forty-nine thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 43 86 172 215 344 430 593 860 1186 1720 2372 2965 4744 5930 11860 23720 25499 50998 101996 127495 203992 254990 509980 1019960 1399261 2798522 5597044 6996305 11194088 13992610 27985220 55970440 60168223 120336446 240672892 300841115 481345784 601682230 829761773 1203364460 1659523546 2406728920 3319047092 4148808865 6638094184 8297617730 16595235460 33190470920 35679756239 71359512478 142719024956 178398781195 285438049912 356797562390 713595124780 1427190249560