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28150142457978 = 236137337418189
BaseRepresentation
bin1100110011010001101110…
…01111011101100001111010
310200200010102211101001000000
412121220313033131201322
512142202442432123403
6135511555200053430
75633531525620602
oct631506717354172
9120603384331000
1028150142457978
118a734545aa192
1231a7829904276
131292715b153b8
146d468d171c02
1533c3b316a7a3
hex199a373dd87a

28150142457978 has 112 divisors (see below), whose sum is σ = 63960352246440. Its totient is φ = 9287226160128.

The previous prime is 28150142457953. The next prime is 28150142458001. The reversal of 28150142457978 is 87975424105182.

28150142457978 is a `hidden beast` number, since 2 + 8 + 1 + 50 + 1 + 4 + 2 + 4 + 579 + 7 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13574751778449 + 14575390679529 = 3684393^2 + 3817773^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 67105308 + ... + 67523496.

Almost surely, 228150142457978 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28150142457978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31980176123220).

28150142457978 is an abundant number, since it is smaller than the sum of its proper divisors (35810209788462).

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

28150142457978 is a wasteful number, since it uses less digits than its factorization.

28150142457978 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418683 (or 418668 counting only the distinct ones).

The product of its (nonzero) digits is 45158400, while the sum is 63.

The spelling of 28150142457978 in words is "twenty-eight trillion, one hundred fifty billion, one hundred forty-two million, four hundred fifty-seven thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 9 18 27 54 81 137 162 243 274 337 411 486 674 729 822 1011 1233 1458 2022 2466 3033 3699 6066 7398 9099 11097 18198 22194 27297 33291 46169 54594 66582 81891 92338 99873 138507 163782 199746 245673 277014 415521 418189 491346 831042 836378 1246563 1254567 2493126 2509134 3739689 3763701 7479378 7527402 11219067 11291103 22438134 22582206 33657201 33873309 57291893 67314402 67746618 101619927 114583786 140929693 171875679 203239854 281859386 304859781 343751358 422789079 515627037 609719562 845578158 1031254074 1268367237 1546881111 2536734474 3093762222 3805101711 4640643333 7610203422 9281286666 11415305133 13921929999 19307367941 22830610266 27843859998 34245915399 38614735882 41765789997 57922103823 68491830798 83531579994 102737746197 115844207646 173766311469 205475492394 347532622938 521298934407 1042597868814 1563896803221 3127793606442 4691690409663 9383380819326 14075071228989 28150142457978