Search a number
-
+
742914412889 = 111741199348619
BaseRepresentation
bin10101100111110010010…
…01100101000101011001
32122000120222112110010112
422303321021211011121
544132442042203024
61325142402054105
7104450053213625
oct12637111450531
92560528473115
10742914412889
11267082900230
12bbb9464a335
135509726856c
1427d5899a185
15144d187900e
hexacf9265159

742914412889 has 32 divisors (see below), whose sum is σ = 879514796160. Its totient is φ = 619821158400.

The previous prime is 742914412883. The next prime is 742914412909. The reversal of 742914412889 is 988214419247.

It is a happy number.

742914412889 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-742914412889 is a prime.

It is not an unprimeable number, because it can be changed into a prime (742914412883) 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, 15256022 + ... + 15304640.

It is an arithmetic number, because the mean of its divisors is an integer number (27484837380).

Almost surely, 2742914412889 is an apocalyptic number.

It is an amenable number.

742914412889 is a deficient number, since it is larger than the sum of its proper divisors (136600383271).

742914412889 is a wasteful number, since it uses less digits than its factorization.

742914412889 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50681.

The product of its digits is 9289728, while the sum is 59.

The spelling of 742914412889 in words is "seven hundred forty-two billion, nine hundred fourteen million, four hundred twelve thousand, eight hundred eighty-nine".

Divisors: 1 11 17 41 187 451 697 1993 7667 21923 33881 48619 81713 372691 534809 826523 898843 1389121 1993379 9091753 15280331 21927169 33887443 96897667 372761873 1065874337 1647260339 3972804347 18119863729 43700847817 67537673899 742914412889