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5019864201 = 321121921132
BaseRepresentation
bin1001010110011010…
…10000110010001001
3110221211202112010100
410223031100302021
540240041123301
62150041040013
7235253066412
oct45315206211
913854675110
105019864201
112146645300
12b81186009
1361ccc5261
14358992809
151e5a7c286
hex12b350c89

5019864201 has 81 divisors (see below), whose sum is σ = 8486663367. Its totient is φ = 2856712320.

The previous prime is 5019864181. The next prime is 5019864203. The reversal of 5019864201 is 1024689105.

The square root of 5019864201 is 70851.

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

5019864201 is a `hidden beast` number, since 5 + 0 + 1 + 9 + 8 + 642 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 88454025 + 4931410176 = 9405^2 + 70224^2 .

It is not a de Polignac number, because 5019864201 - 217 = 5019733129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5019864203) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 44423521 + ... + 44423633.

Almost surely, 25019864201 is an apocalyptic number.

5019864201 is the 70851-st square number.

5019864201 is the 35426-th centered octagonal number.

It is an amenable number.

5019864201 is a deficient number, since it is larger than the sum of its proper divisors (3466799166).

5019864201 is a wasteful number, since it uses less digits than its factorization.

5019864201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The cubic root of 5019864201 is about 1712.2374415236.

Multiplying 5019864201 by its sum of digits (36), we get a square (180715111236 = 4251062).

The spelling of 5019864201 in words is "five billion, nineteen million, eight hundred sixty-four thousand, two hundred one".

Divisors: 1 3 9 11 19 33 57 99 113 121 171 209 339 361 363 627 1017 1083 1089 1243 1881 2147 2299 3249 3729 3971 6441 6897 11187 11913 12769 13673 19323 20691 23617 35739 38307 40793 41019 43681 70851 114921 122379 123057 131043 140459 212553 242611 259787 367137 393129 421377 448723 727833 779361 1264131 1346169 1545049 2183499 2338083 2668721 4038507 4609609 4635147 4935953 8006163 13828827 13905441 14807859 24018489 29355931 41486481 44423577 50705699 88067793 152117097 264203379 456351291 557762689 1673288067 5019864201