Search a number
-
+
120205117664477 = 1753532325063499
BaseRepresentation
bin11011010101001101101111…
…010101101010110011011101
3120202121111102022212000022122
4123111031233111222303131
5111223420040110230402
61103353245124152325
734214350605441566
oct3325155725526335
9522544368760278
10120205117664477
11353347821a948a
12115946828386a5
13520c3a8a94581
142197d5cac116d
15dd6c27024ca2
hex6d536f56acdd

120205117664477 has 16 divisors (see below), whose sum is σ = 129701807928000. Its totient is φ = 110978763048192.

The previous prime is 120205117664473. The next prime is 120205117664537. The reversal of 120205117664477 is 774466711502021.

It is a cyclic number.

It is not a de Polignac number, because 120205117664477 - 22 = 120205117664473 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120205117664473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7735727 + ... + 17327772.

It is an arithmetic number, because the mean of its divisors is an integer number (8106362995500).

Almost surely, 2120205117664477 is an apocalyptic number.

120205117664477 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

120205117664477 is a deficient number, since it is larger than the sum of its proper divisors (9496690263523).

120205117664477 is a wasteful number, since it uses less digits than its factorization.

120205117664477 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25068892.

The product of its (nonzero) digits is 3951360, while the sum is 53.

The spelling of 120205117664477 in words is "one hundred twenty trillion, two hundred five billion, one hundred seventeen million, six hundred sixty-four thousand, four hundred seventy-seven".

Divisors: 1 17 53 901 5323 90491 282119 4796023 25063499 426079483 1328365447 22582212599 133413005177 2268021088009 7070889274381 120205117664477