Search a number
-
+
61605824053631 = 11131162137071677
BaseRepresentation
bin11100000000111101110010…
…10000100100000101111111
322002010110101210122120120112
432000132321100210011333
531033322211424204011
6335005154100540235
715655605515244614
oct1600367120440577
9262113353576515
1061605824053631
11186a1979688260
126aab7559b167b
13284b5342884c0
14112da4871250b
1571c79761758b
hex3807b942417f

61605824053631 has 16 divisors (see below), whose sum is σ = 72382303008288. Its totient is φ = 51692745014400.

The previous prime is 61605824053589. The next prime is 61605824053637. The reversal of 61605824053631 is 13635042850616.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-61605824053631 is a prime.

It is a super-2 number, since 2×616058240536312 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 61605824053631.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61605824053637) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16874036 + ... + 20197641.

It is an arithmetic number, because the mean of its divisors is an integer number (4523893938018).

Almost surely, 261605824053631 is an apocalyptic number.

61605824053631 is a deficient number, since it is larger than the sum of its proper divisors (10776478954657).

61605824053631 is a wasteful number, since it uses less digits than its factorization.

61605824053631 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37083322.

The product of its (nonzero) digits is 3110400, while the sum is 50.

The spelling of 61605824053631 in words is "sixty-one trillion, six hundred five billion, eight hundred twenty-four million, fifty-three thousand, six hundred thirty-one".

Divisors: 1 11 13 143 11621 127831 151073 1661803 37071677 407788447 481931801 5301249811 430809958417 4738909542587 5600529459421 61605824053631