Search a number
-
+
61416110654301 = 3135998327152647
BaseRepresentation
bin11011111011011100011010…
…11101011000001101011101
322001110022201100102100102010
431331232031131120031131
531022220143311414201
6334342101032221433
715636111322044204
oct1575561535301535
9261408640370363
1061416110654301
1118629476393427
126a7aa2b23a879
13283668c1426b0
1411247ac87a23b
157178922b4bd6
hex37db8d75835d

61416110654301 has 32 divisors (see below), whose sum is σ = 89773170923520. Its totient is φ = 37116146533824.

The previous prime is 61416110654299. The next prime is 61416110654303. The reversal of 61416110654301 is 10345601161416.

It is an interprime number because it is at equal distance from previous prime (61416110654299) and next prime (61416110654303).

It is not a de Polignac number, because 61416110654301 - 21 = 61416110654299 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 61416110654301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61416110654303) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11314441 + ... + 15838206.

It is an arithmetic number, because the mean of its divisors is an integer number (2805411591360).

Almost surely, 261416110654301 is an apocalyptic number.

It is an amenable number.

61416110654301 is a deficient number, since it is larger than the sum of its proper divisors (28357060269219).

61416110654301 is a wasteful number, since it uses less digits than its factorization.

61416110654301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27153705.

The product of its (nonzero) digits is 51840, while the sum is 39.

The spelling of 61416110654301 in words is "sixty-one trillion, four hundred sixteen billion, one hundred ten million, six hundred fifty-four thousand, three hundred one".

Divisors: 1 3 13 39 59 177 767 983 2301 2949 12779 38337 57997 173991 753961 2261883 27152647 81457941 352984411 1058953233 1602006173 4806018519 20826080249 26691052001 62478240747 80073156003 346983676013 1040951028039 1574772068059 4724316204177 20472036884767 61416110654301