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28270034736104 = 23723415113104701
BaseRepresentation
bin1100110110110001000010…
…11000001101001111101000
310201002120220022211210212102
412123120201120031033220
512201134012343023404
6140043024043432532
75645304546310220
oct633304130151750
9121076808753772
1028270034736104
11900a288679267
123206b09525748
1312a0b118b42c5
146da3c4077080
1534057d94371e
hex19b62160d3e8

28270034736104 has 128 divisors (see below), whose sum is σ = 64767551546880. Its totient is φ = 11303981568000.

The previous prime is 28270034736061. The next prime is 28270034736109. The reversal of 28270034736104 is 40163743007282.

28270034736104 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (28270034736109) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 269954954 + ... + 270059654.

It is an arithmetic number, because the mean of its divisors is an integer number (505996496460).

Almost surely, 228270034736104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28270034736104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32383775773440).

28270034736104 is an abundant number, since it is smaller than the sum of its proper divisors (36497516810776).

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

28270034736104 is a wasteful number, since it uses less digits than its factorization.

28270034736104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109891 (or 109887 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 47.

The spelling of 28270034736104 in words is "twenty-eight trillion, two hundred seventy billion, thirty-four million, seven hundred thirty-six thousand, one hundred four".

Divisors: 1 2 4 7 8 14 23 28 41 46 56 82 92 161 164 184 287 322 328 574 644 943 1148 1288 1886 2296 3772 5113 6601 7544 10226 13202 20452 26404 35791 40904 52808 71582 104701 117599 143164 209402 209633 235198 286328 418804 419266 470396 732907 823193 837608 838532 940792 1465814 1467431 1646386 1677064 2408123 2931628 2934862 3292772 4292741 4816246 4821559 5863256 5869724 6585544 8585482 9632492 9643118 11739448 16856861 17170964 19264984 19286236 30049187 33713722 33750913 34341928 38572472 60098374 67427444 67501826 98733043 120196748 134854888 135003652 197466086 240393496 270007304 394932172 535336213 691131301 789864344 1070672426 1382262602 2141344852 2764525204 3747353491 4282689704 5529050408 7494706982 12312732899 14989413964 21948784733 24625465798 29978827928 43897569466 49250931596 86189130293 87795138932 98501863192 153641493131 172378260586 175590277864 307282986262 344756521172 504822048859 614565972524 689513042344 1009644097718 1229131945048 2019288195436 3533754342013 4038576390872 7067508684026 14135017368052 28270034736104