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28042954142760 = 23325312512809511
BaseRepresentation
bin1100110000001010000100…
…10100011111010000101000
310200021212202200122110001100
412120011002110133100220
512133423432230032020
6135350431050321400
75623015355153064
oct630050224372050
9120255680573040
1028042954142760
118a31a4a598507
12318aab4729260
131285592ca70cb
146cd401574aa4
153396dcd19a90
hex19814251f428

28042954142760 has 96 divisors (see below), whose sum is σ = 94079588129280. Its totient is φ = 7236891388800.

The previous prime is 28042954142747. The next prime is 28042954142773. The reversal of 28042954142760 is 6724145924082.

28042954142760 is a `hidden beast` number, since 2 + 8 + 0 + 4 + 29 + 541 + 4 + 2 + 76 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (28042954142747) and next prime (28042954142773).

It is a junction number, because it is equal to n+sod(n) for n = 28042954142697 and 28042954142706.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1256393596 + ... + 1256415915.

It is an arithmetic number, because the mean of its divisors is an integer number (979995709680).

Almost surely, 228042954142760 is an apocalyptic number.

28042954142760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28042954142760 is an abundant number, since it is smaller than the sum of its proper divisors (66036633986520).

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

28042954142760 is a wasteful number, since it uses less digits than its factorization.

28042954142760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2512809559 (or 2512809552 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 28042954142760 in words is "twenty-eight trillion, forty-two billion, nine hundred fifty-four million, one hundred forty-two thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 31 36 40 45 60 62 72 90 93 120 124 155 180 186 248 279 310 360 372 465 558 620 744 930 1116 1240 1395 1860 2232 2790 3720 5580 11160 2512809511 5025619022 7538428533 10051238044 12564047555 15076857066 20102476088 22615285599 25128095110 30153714132 37692142665 45230571198 50256190220 60307428264 75384285330 77897094841 90461142396 100512380440 113076427995 150768570660 155794189682 180922284792 226152855990 233691284523 301537141320 311588379364 389485474205 452305711980 467382569046 623176758728 701073853569 778970948410 904611423960 934765138092 1168456422615 1402147707138 1557941896820 1869530276184 2336912845230 2804295414276 3115883793640 3505369267845 4673825690460 5608590828552 7010738535690 9347651380920 14021477071380 28042954142760