Search a number
-
+
20778274478142 = 23212972417368231
BaseRepresentation
bin1001011100101110100011…
…01010110101100000111110
32201120101100200012101101200
410232113101222311200332
510210412401231300032
6112105224005120330
74243116003650016
oct456272152654076
981511320171350
1020778274478142
116691020288695
1223b6b760b90a6
13b794c924161c
1451b961090c46
15260755bb647c
hex12e5d1ab583e

20778274478142 has 48 divisors (see below), whose sum is σ = 45073068255072. Its totient is φ = 6917869255680.

The previous prime is 20778274478099. The next prime is 20778274478149. The reversal of 20778274478142 is 24187447287702.

20778274478142 is a `hidden beast` number, since 2 + 0 + 7 + 7 + 82 + 74 + 478 + 14 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 20778274478142.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20778274478149) 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, 56243167 + ... + 56611397.

It is an arithmetic number, because the mean of its divisors is an integer number (939022255314).

Almost surely, 220778274478142 is an apocalyptic number.

20778274478142 is an abundant number, since it is smaller than the sum of its proper divisors (24294793776930).

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

20778274478142 is a wasteful number, since it uses less digits than its factorization.

20778274478142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371953 (or 371950 counting only the distinct ones).

The product of its (nonzero) digits is 78675968, while the sum is 63.

The spelling of 20778274478142 in words is "twenty trillion, seven hundred seventy-eight billion, two hundred seventy-four million, four hundred seventy-eight thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 1297 2417 2594 3891 4834 7251 7782 11673 14502 21753 23346 43506 368231 736462 1104693 2209386 3134849 3314079 6269698 6628158 9404547 18809094 28213641 56427282 477595607 890014327 955191214 1432786821 1780028654 2670042981 2865573642 4298360463 5340085962 8010128943 8596720926 16020257886 1154348582119 2308697164238 3463045746357 6926091492714 10389137239071 20778274478142