Search a number
-
+
368864888481 = 3219235315111719
BaseRepresentation
bin1010101111000100000…
…11111000011010100001
31022021002211100211100100
411113202003320122201
522020413402412411
6441242034413013
735435546551065
oct5274203703241
91267084324310
10368864888481
11132486682281
125b5a4131169
1328a26050b2b
1413bd30b9aa5
1598dd300456
hex55e20f86a1

368864888481 has 96 divisors (see below), whose sum is σ = 600274022400. Its totient is φ = 217167350400.

The previous prime is 368864888471. The next prime is 368864888597. The reversal of 368864888481 is 184888468863.

368864888481 is a `hidden beast` number, since 3 + 6 + 8 + 8 + 64 + 8 + 88 + 481 = 666.

It is not a de Polignac number, because 368864888481 - 218 = 368864626337 is a prime.

It is a super-2 number, since 2×3688648884812 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (368864888401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31469940 + ... + 31481658.

It is an arithmetic number, because the mean of its divisors is an integer number (6252854400).

Almost surely, 2368864888481 is an apocalyptic number.

It is an amenable number.

368864888481 is a deficient number, since it is larger than the sum of its proper divisors (231409133919).

368864888481 is a wasteful number, since it uses less digits than its factorization.

368864888481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11971 (or 11968 counting only the distinct ones).

The product of its digits is 452984832, while the sum is 72.

The spelling of 368864888481 in words is "three hundred sixty-eight billion, eight hundred sixty-four million, eight hundred eighty-eight thousand, four hundred eighty-one".

Divisors: 1 3 9 19 23 53 57 69 151 159 171 207 437 453 477 1007 1219 1311 1359 2869 3021 3473 3657 3933 8003 8607 9063 10419 10971 11719 23161 24009 25821 31257 35157 65987 69483 72027 105471 152057 184069 197961 208449 222661 269537 456171 552207 593883 621107 667983 808611 1368513 1656621 1769569 1863321 2003949 2425833 3497311 5121203 5308707 5589963 10491933 11801033 14285461 15363609 15926121 31475799 33621811 35403099 40700087 42856383 46090827 93787157 100865433 106209297 122100261 128569149 271423759 281361471 302596299 366300783 773301653 814271277 844084413 1781955983 2157104611 2319904959 2442813831 5345867949 6471313833 6959714877 16037603847 19413941499 40984987609 122954962827 368864888481