Search a number
-
+
15018680905164 = 2234206322469197
BaseRepresentation
bin1101101010001100111100…
…1000111110110111001100
31222011202211200202200120000
43122203033020332313030
53432031224302431124
651535253050124300
73110030625234006
oct332431710766714
958152750680500
1015018680905164
114870428920082
121826879a20690
1384c342535011
1439cc9d909376
151b0a0c6bc6c9
hexda8cf23edcc

15018680905164 has 60 divisors (see below), whose sum is σ = 39280831697184. Its totient is φ = 5003800072416.

The previous prime is 15018680905157. The next prime is 15018680905229. The reversal of 15018680905164 is 46150908681051.

15018680905164 is a `hidden beast` number, since 1 + 50 + 18 + 68 + 0 + 9 + 0 + 516 + 4 = 666.

It is a super-2 number, since 2×150186809051642 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 15018680905164.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10566187 + ... + 11903010.

Almost surely, 215018680905164 is an apocalyptic number.

It is an amenable number.

15018680905164 is an abundant number, since it is smaller than the sum of its proper divisors (24262150792020).

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

15018680905164 is a wasteful number, since it uses less digits than its factorization.

15018680905164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22471276 (or 22471265 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 54.

The spelling of 15018680905164 in words is "fifteen trillion, eighteen billion, six hundred eighty million, nine hundred five thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 2063 4126 6189 8252 12378 18567 24756 37134 55701 74268 111402 167103 222804 334206 668412 22469197 44938394 67407591 89876788 134815182 202222773 269630364 404445546 606668319 808891092 1213336638 1820004957 2426673276 3640009914 7280019828 46353953411 92707906822 139061860233 185415813644 278123720466 417185580699 556247440932 834371161398 1251556742097 1668742322796 2503113484194 3754670226291 5006226968388 7509340452582 15018680905164