Search a number
-
+
1146540663642 = 231117371828237
BaseRepresentation
bin10000101011110011001…
…001100010001101011010
311001121102101112102222210
4100223303021202031122
5122241103402214032
62234414041255550
7145556226561363
oct20536311421532
94047371472883
101146540663642
11402277350480
1216625a1945b6
138416cc482ba
143d6c85c2b6a
151ec567bc2cc
hex10af326235a

1146540663642 has 16 divisors (see below), whose sum is σ = 2501543266272. Its totient is φ = 347436564720.

The previous prime is 1146540663617. The next prime is 1146540663643. The reversal of 1146540663642 is 2463660456411.

It is a super-3 number, since 3×11465406636423 (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1146540663591 and 1146540663600.

It is not an unprimeable number, because it can be changed into a prime (1146540663643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8685914053 + ... + 8685914184.

It is an arithmetic number, because the mean of its divisors is an integer number (156346454142).

Almost surely, 21146540663642 is an apocalyptic number.

1146540663642 is an abundant number, since it is smaller than the sum of its proper divisors (1355002602630).

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

1146540663642 is a wasteful number, since it uses less digits than its factorization.

1146540663642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17371828253.

The product of its (nonzero) digits is 2488320, while the sum is 48.

The spelling of 1146540663642 in words is "one trillion, one hundred forty-six billion, five hundred forty million, six hundred sixty-three thousand, six hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 17371828237 34743656474 52115484711 104230969422 191090110607 382180221214 573270331821 1146540663642