Search a number
-
+
2054460626370 = 2335113460314629
BaseRepresentation
bin11101111001010111011…
…001010101010111000010
321021101220220010022122000
4131321113121111113002
5232130013410020440
64211450045124430
7301300310122305
oct35712731252702
97241826108560
102054460626370
11722323511509
12292202859716
1311b9724a3189
147161779ab3c
1538694284730
hex1de576555c2

2054460626370 has 128 divisors (see below), whose sum is σ = 5528623161600. Its totient is φ = 542852803584.

The previous prime is 2054460626363. The next prime is 2054460626399. The reversal of 2054460626370 is 736260644502.

2054460626370 is a `hidden beast` number, since 2 + 0 + 5 + 4 + 4 + 6 + 0 + 6 + 2 + 637 + 0 = 666.

It is a super-2 number, since 2×20544606263702 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 140430216 + ... + 140444844.

It is an arithmetic number, because the mean of its divisors is an integer number (43192368450).

Almost surely, 22054460626370 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2054460626370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2764311580800).

2054460626370 is an abundant number, since it is smaller than the sum of its proper divisors (3474162535230).

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

2054460626370 is a wasteful number, since it uses less digits than its factorization.

2054460626370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19361 (or 19355 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 2054460626370 in words is "two trillion, fifty-four billion, four hundred sixty million, six hundred twenty-six thousand, three hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 113 135 226 270 339 565 678 1017 1130 1695 2034 3051 3390 4603 5085 6102 9206 10170 13809 14629 15255 23015 27618 29258 30510 41427 43887 46030 69045 73145 82854 87774 124281 131661 138090 146290 207135 219435 248562 263322 394983 414270 438870 520139 621405 658305 789966 1040278 1242810 1316610 1560417 1653077 1974915 2600695 3120834 3306154 3949830 4681251 4959231 5201390 7802085 8265385 9362502 9918462 14043753 14877693 15604170 16530770 23406255 24796155 28087506 29755386 44633079 46812510 49592310 67337287 70218765 74388465 89266158 134674574 140437530 148776930 202011861 223165395 336686435 404023722 446330790 606035583 673372870 1010059305 1212071166 1818106749 2020118610 3030177915 3636213498 6060355830 7609113431 9090533745 15218226862 18181067490 22827340293 38045567155 45654680586 68482020879 76091134310 114136701465 136964041758 205446062637 228273402930 342410104395 410892125274 684820208790 1027230313185 2054460626370