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20240661114765 = 32571313813579127
BaseRepresentation
bin1001001101000101001010…
…11010100110111110001101
32122122222200110210211121200
410212202211122212332031
510123110333221133030
6111014233101020113
74156224310524660
oct446424532467615
978588613724550
1020240661114765
1164a401a587613
12232a938554639
13b3a8bc62b520
144dd9206416d7
1525178cd82d60
hex1268a56a6f8d

20240661114765 has 96 divisors (see below), whose sum is σ = 43211356371456. Its totient is φ = 8534927024640.

The previous prime is 20240661114763. The next prime is 20240661114769. The reversal of 20240661114765 is 56741116604202.

20240661114765 is a `hidden beast` number, since 2 + 0 + 2 + 4 + 0 + 66 + 111 + 476 + 5 = 666.

It is not a de Polignac number, because 20240661114765 - 21 = 20240661114763 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 20240661114765.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20240661114763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3865632 + ... + 7444758.

It is an arithmetic number, because the mean of its divisors is an integer number (450118295536).

Almost surely, 220240661114765 is an apocalyptic number.

It is an amenable number.

20240661114765 is an abundant number, since it is smaller than the sum of its proper divisors (22970695256691).

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

20240661114765 is a wasteful number, since it uses less digits than its factorization.

20240661114765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3580539 (or 3580536 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

Adding to 20240661114765 its reverse (56741116604202), we get a palindrome (76981777718967).

The spelling of 20240661114765 in words is "twenty trillion, two hundred forty billion, six hundred sixty-one million, one hundred fourteen thousand, seven hundred sixty-five".

Divisors: 1 3 5 7 9 13 15 21 35 39 45 63 65 91 105 117 195 273 315 455 585 819 1365 1381 4095 4143 6905 9667 12429 17953 20715 29001 48335 53859 62145 87003 89765 125671 145005 161577 269295 377013 435015 628355 807885 1131039 1885065 3579127 5655195 10737381 17895635 25053889 32212143 46528651 53686905 75161667 125269445 139585953 161060715 225485001 232643255 325700557 375808335 418757859 697929765 977101671 1127425005 1628502785 2093789295 2931305013 4885508355 4942774387 14656525065 14828323161 24713871935 34599420709 44484969483 64256067031 74141615805 103798262127 172997103545 192768201093 222424847415 311394786381 321280335155 449792469217 518991310635 578304603279 963841005465 1349377407651 1556973931905 2248962346085 2891523016395 4048132222953 6746887038255 20240661114765