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61345054316 = 22721324075767
BaseRepresentation
bin111001001000011100…
…110011111001101100
312212100020112122101202
4321020130303321230
52001113313214231
644103113225032
74301121233600
oct711034637154
9185306478352
1061345054316
112401a7582a7
12ba80402178
135a2830b410
142d7d381500
1518e08925cb
hexe48733e6c

61345054316 has 36 divisors (see below), whose sum is σ = 134487240048. Its totient is φ = 24268372128.

The previous prime is 61345054307. The next prime is 61345054333.

61345054316 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 61345054316.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 12035336 + ... + 12040431.

It is an arithmetic number, because the mean of its divisors is an integer number (3735756668).

Almost surely, 261345054316 is an apocalyptic number.

It is an amenable number.

61345054316 is an abundant number, since it is smaller than the sum of its proper divisors (73142185732).

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

61345054316 is a wasteful number, since it uses less digits than its factorization.

61345054316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24075798 (or 24075789 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 38.

It can be divided in two parts, 613450 and 54316, that added together give a palindrome (667766).

The spelling of 61345054316 in words is "sixty-one billion, three hundred forty-five million, fifty-four thousand, three hundred sixteen".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 182 196 364 637 1274 2548 24075767 48151534 96303068 168530369 312984971 337060738 625969942 674121476 1179712583 1251939884 2190894797 2359425166 4381789594 4718850332 8763579188 15336263579 30672527158 61345054316