Search a number
-
+
30464644646403 = 33112926913148899
BaseRepresentation
bin1101110110101000110100…
…10100101000011000000011
310222212101120110120102022000
412323110122110220120003
512443113043012141103
6144443133050315043
76262666202620122
oct673243224503003
9128771513512260
1030464644646403
119785a8a767060
123500303a28a83
1313cca5a857446
147746d4c01ab9
1537c6c6a86aa3
hex1bb51a528603

30464644646403 has 64 divisors (see below), whose sum is σ = 51122923200000. Its totient is φ = 17760479506560.

The previous prime is 30464644646383. The next prime is 30464644646413.

30464644646403 is a `hidden beast` number, since 3 + 0 + 4 + 64 + 64 + 464 + 64 + 0 + 3 = 666.

30464644646403 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 30464644646403 - 26 = 30464644646339 is a prime.

It is a super-2 number, since 2×304646446464032 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 30464644646403.

It is not an unprimeable number, because it can be changed into a prime (30464644646413) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4257553 + ... + 8891346.

It is an arithmetic number, because the mean of its divisors is an integer number (798795675000).

Almost surely, 230464644646403 is an apocalyptic number.

30464644646403 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

30464644646403 is a deficient number, since it is larger than the sum of its proper divisors (20658278553597).

30464644646403 is a wasteful number, since it uses less digits than its factorization.

30464644646403 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13149217 (or 13149211 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 54.

The spelling of 30464644646403 in words is "thirty trillion, four hundred sixty-four billion, six hundred forty-four million, six hundred forty-six thousand, four hundred three".

Divisors: 1 3 9 11 27 29 33 87 99 261 269 297 319 783 807 957 2421 2871 2959 7263 7801 8613 8877 23403 26631 70209 79893 85811 210627 257433 772299 2316897 13148899 39446697 118340091 144637889 355020273 381318071 433913667 1143954213 1301741001 3431862639 3537053831 3905223003 4194498781 10295587917 10611161493 12583496343 31833484479 37750489029 38907592141 95500453437 102574561099 113251467087 116722776423 307723683297 350168329269 923171049891 1050504987807 1128320172089 2769513149673 3384960516267 10154881548801 30464644646403