Search a number
-
+
28453148024920 = 23541223661117701
BaseRepresentation
bin1100111100000110000111…
…10001111110000001011000
310201202002112210210200111021
412132003003301332001120
512212134021343244140
6140303110141012224
75664446350503133
oct636030361760130
9121662483720437
1028453148024920
11907aa04319403
1232364b1854074
1312b5174527388
147051d552921a
153451e961cb4a
hex19e0c3c7e058

28453148024920 has 128 divisors (see below), whose sum is σ = 65975341985280. Its totient is φ = 11037058560000.

The previous prime is 28453148024911. The next prime is 28453148024921. The reversal of 28453148024920 is 2942084135482.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28453148024921) 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, 241682070 + ... + 241799770.

It is an arithmetic number, because the mean of its divisors is an integer number (515432359260).

Almost surely, 228453148024920 is an apocalyptic number.

28453148024920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28453148024920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32987670992640).

28453148024920 is an abundant number, since it is smaller than the sum of its proper divisors (37522193960360).

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

28453148024920 is a wasteful number, since it uses less digits than its factorization.

28453148024920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118637 (or 118633 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 52.

The spelling of 28453148024920 in words is "twenty-eight trillion, four hundred fifty-three billion, one hundred forty-eight million, twenty-four thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 223 328 410 446 661 820 892 1115 1322 1640 1784 2230 2644 3305 4460 5288 6610 8920 9143 13220 18286 26440 27101 36572 45715 54202 73144 91430 108404 117701 135505 147403 182860 216808 235402 271010 294806 365720 470804 542020 588505 589612 737015 941608 1084040 1177010 1179224 1474030 2354020 2948060 4708040 4825741 5896120 6043523 9651482 12087046 19302964 24128705 24174092 26247323 30217615 38605928 48257410 48348184 52494646 60435230 77800361 96514820 104989292 120870460 131236615 155600722 193029640 209978584 241740920 262473230 311201444 389001805 524946460 622402888 778003610 1049892920 1076140243 1556007220 2152280486 3112014440 3189814801 4304560972 5380701215 6379629602 8609121944 10761402430 12759259204 15949074005 17349480503 21522804860 25518518408 31898148010 34698961006 43045609720 63796296020 69397922012 86747402515 127592592040 138795844024 173494805030 346989610060 693979220120 711328700623 1422657401246 2845314802492 3556643503115 5690629604984 7113287006230 14226574012460 28453148024920