Search a number
-
+
11551516830306 = 2331713998994533
BaseRepresentation
bin1010100000011000110000…
…0011101010101001100010
31111220022111001212112012000
42220012030003222221202
53003230001302032211
640322405451144430
72301366232661355
oct250061403525142
944808431775160
1011551516830306
113753a75115522
121366917745116
1365a3c364756b
142bd14c73029c
15150734e03656
hexa818c0eaa62

11551516830306 has 64 divisors (see below), whose sum is σ = 27199470816000. Its totient is φ = 3621414451968.

The previous prime is 11551516830277. The next prime is 11551516830377. The reversal of 11551516830306 is 60303861515511.

11551516830306 is a `hidden beast` number, since 1 + 1 + 5 + 51 + 516 + 83 + 0 + 3 + 0 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3212985 + ... + 5781548.

It is an arithmetic number, because the mean of its divisors is an integer number (424991731500).

Almost surely, 211551516830306 is an apocalyptic number.

11551516830306 is an abundant number, since it is smaller than the sum of its proper divisors (15647953985694).

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

11551516830306 is a wasteful number, since it uses less digits than its factorization.

11551516830306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8995960 (or 8995954 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The spelling of 11551516830306 in words is "eleven trillion, five hundred fifty-one billion, five hundred sixteen million, eight hundred thirty thousand, three hundred six".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 306 459 918 1399 2798 4197 8394 12591 23783 25182 37773 47566 71349 75546 142698 214047 428094 642141 1284282 8994533 17989066 26983599 53967198 80950797 152907061 161901594 242852391 305814122 458721183 485704782 917442366 1376163549 2752327098 4128490647 8256981294 12583351667 25166703334 37750055001 75500110002 113250165003 213916978339 226500330006 339750495009 427833956678 641750935017 679500990018 1283501870034 1925252805051 3850505610102 5775758415153 11551516830306