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28153586461 = 731113267659
BaseRepresentation
bin11010001110000101…
…011010001100011101
32200200001221101011111
4122032011122030131
5430124304231321
620533353022021
72014446352000
oct321605321435
980601841144
1028153586461
1110a37a69230
1255586b4911
1328689a4200
14151112d537
15aeb9a35e1
hex68e15a31d

28153586461 has 96 divisors (see below), whose sum is σ = 39422592000. Its totient is φ = 19917817920.

The previous prime is 28153586459. The next prime is 28153586497. The reversal of 28153586461 is 16468535182.

It is not a de Polignac number, because 28153586461 - 21 = 28153586459 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28153586161) 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 95 ways as a sum of consecutive naturals, for example, 42721350 + ... + 42722008.

It is an arithmetic number, because the mean of its divisors is an integer number (410652000).

Almost surely, 228153586461 is an apocalyptic number.

It is an amenable number.

28153586461 is a deficient number, since it is larger than the sum of its proper divisors (11269005539).

28153586461 is a wasteful number, since it uses less digits than its factorization.

28153586461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 757 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 49.

The spelling of 28153586461 in words is "twenty-eight billion, one hundred fifty-three million, five hundred eighty-six thousand, four hundred sixty-one".

Divisors: 1 7 11 13 49 67 77 91 143 169 343 469 539 637 659 737 871 1001 1183 1859 3283 3773 4459 4613 5159 6097 7007 7249 8281 8567 9581 11323 13013 22981 32291 36113 42679 44153 49049 50743 57967 59969 67067 79261 91091 94237 111371 124553 226037 252791 298753 309071 355201 419783 469469 485683 554827 573989 637637 659659 779597 871871 1225081 2163497 2486407 2938481 3286283 3399781 3883789 4017923 4617613 5457179 6103097 6313879 7461857 8575567 15144479 23798467 28125461 32323291 38200253 42721679 44197153 52232999 60028969 82080427 166589269 196878227 309380071 365630993 420202783 574562989 2165660497 2559416951 4021940923 28153586461