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908457628428 = 22327311123103553
BaseRepresentation
bin11010011100001000100…
…10110101001100001100
310012211212222022010022200
431032010102311030030
5104341010123102203
61533201211441500
7122430266301240
oct15160422651414
93184788263280
10908457628428
11320302714259
12128094756290
1367889a6a17c
1431d80776420
151896ecc09a3
hexd3844b530c

908457628428 has 144 divisors (see below), whose sum is σ = 2711530838016. Its totient is φ = 250960343040.

The previous prime is 908457628423. The next prime is 908457628439. The reversal of 908457628428 is 824826754809.

It is a super-2 number, since 2×9084576284282 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (908457628423) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 8721100 + ... + 8824652.

It is an arithmetic number, because the mean of its divisors is an integer number (18830075264).

Almost surely, 2908457628428 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 908457628428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1355765419008).

908457628428 is an abundant number, since it is smaller than the sum of its proper divisors (1803073209588).

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

908457628428 is a wasteful number, since it uses less digits than its factorization.

908457628428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104724 (or 104719 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 908457628428 in words is "nine hundred eight billion, four hundred fifty-seven million, six hundred twenty-eight thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 62 63 84 93 124 126 186 217 252 279 372 434 558 651 868 1116 1123 1302 1953 2246 2604 3369 3906 4492 6738 7812 7861 10107 13476 15722 20214 23583 31444 34813 40428 47166 69626 70749 94332 103553 104439 139252 141498 207106 208878 243691 282996 310659 313317 414212 417756 487382 621318 626634 724871 731073 931977 974764 1242636 1253268 1449742 1462146 1863954 2174613 2193219 2899484 2924292 3210143 3727908 4349226 4386438 6420286 6523839 8698452 8772876 9630429 12840572 13047678 19260858 22471001 26095356 28891287 38521716 44942002 57782574 67413003 89884004 115565148 116290019 134826006 202239009 232580038 269652012 348870057 404478018 465160076 697740114 808956036 814030133 1046610171 1395480228 1628060266 2093220342 2442090399 3256120532 3604990589 4186440684 4884180798 7209981178 7326271197 9768361596 10814971767 14419962356 14652542394 21629943534 25234934123 29305084788 32444915301 43259887068 50469868246 64889830602 75704802369 100939736492 129779661204 151409604738 227114407107 302819209476 454228814214 908457628428