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20154092678838 = 2343131631268783
BaseRepresentation
bin1001001010100011111011…
…00010001110111010110110
32122100201020101000122110000
410211101331202032322312
510120201040211210323
6110510355023012130
74150041130130256
oct445217542167266
978321211018400
1020154092678838
1164703369a0398
122315bb8a3a046
13b326a4733c41
144d966b3a9966
1524e3c2de5e43
hex12547d88eeb6

20154092678838 has 80 divisors (see below), whose sum is σ = 46631648802816. Its totient is φ = 6499259668080.

The previous prime is 20154092678833. The next prime is 20154092678851. The reversal of 20154092678838 is 83887629045102.

20154092678838 is a `hidden beast` number, since 2 + 0 + 1 + 540 + 9 + 2 + 6 + 7 + 8 + 83 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20154092678833) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15250195 + ... + 16518977.

It is a 1-persistent number, because it is pandigital, but 2⋅20154092678838 = 40308185357676 is not.

Almost surely, 220154092678838 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20154092678838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23315824401408).

20154092678838 is an abundant number, since it is smaller than the sum of its proper divisors (26477556123978).

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

20154092678838 is a wasteful number, since it uses less digits than its factorization.

20154092678838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1271991 (or 1271982 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 20154092678838 in words is "twenty trillion, one hundred fifty-four billion, ninety-two million, six hundred seventy-eight thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 31 54 62 81 93 162 186 279 558 837 1674 2511 3163 5022 6326 9489 18978 28467 56934 85401 98053 170802 196106 256203 294159 512406 588318 882477 1268783 1764954 2537566 2647431 3806349 5294862 7612698 7942293 11419047 15884586 22838094 34257141 39332273 68514282 78664546 102771423 117996819 205542846 235993638 353990457 707980914 1061971371 2123942742 3185914113 4013160629 6371828226 8026321258 12039481887 24078963774 36118445661 72236891322 108355336983 124407979499 216710673966 248815958998 325066010949 373223938497 650132021898 746447876994 1119671815491 2239343630982 3359015446473 6718030892946 10077046339419 20154092678838