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28476900001 = 112234292
BaseRepresentation
bin11010100001010110…
…110000001010100001
32201111121022101222001
4122201112300022201
5431310041300001
621025422444001
72025453441034
oct324126601241
981447271861
1028476900001
1111093516500
125628a33601
1328ba9756b4
14154205101b
15b1a06a001
hex6a15b02a1

28476900001 has 45 divisors (see below), whose sum is σ = 33891143923. Its totient is φ = 23908641680.

The previous prime is 28476899989. The next prime is 28476900007. The reversal of 28476900001 is 10000967482.

The square root of 28476900001 is 168751.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 14932595601 + 13544304400 = 122199^2 + 116380^2 .

It is not a de Polignac number, because 28476900001 - 213 = 28476891809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (28476900007) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 981962055 + ... + 981962083.

Almost surely, 228476900001 is an apocalyptic number.

28476900001 is the 168751-st square number.

28476900001 is the 84376-th centered octagonal number.

It is an amenable number.

28476900001 is a deficient number, since it is larger than the sum of its proper divisors (5414243922).

28476900001 is an frugal number, since it uses more digits than its factorization.

28476900001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The spelling of 28476900001 in words is "twenty-eight billion, four hundred seventy-six million, nine hundred thousand, one".

Divisors: 1 11 23 29 121 253 319 529 667 841 2783 3509 5819 7337 9251 12167 15341 19343 64009 80707 101761 133837 168751 212773 279841 352843 444889 1472207 1856261 2340503 3078251 3881273 4893779 8115389 10232447 33860761 42694003 53831569 89269279 112556917 235346281 981962069 1238126087 2588809091 28476900001