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61344044316 = 22329717567023
BaseRepresentation
bin111001001000011000…
…111101010100011100
312212100011122022221100
4321020120331110130
52001113033404231
644103035433100
74301106526152
oct711030752434
9185304568840
1061344044316
112401a128495
12ba7bbb5790
135a28046799
142d7d19b3d2
1518e07431e6
hexe4863d51c

61344044316 has 36 divisors (see below), whose sum is σ = 156662720032. Its totient is φ = 20237209344.

The previous prime is 61344044269. The next prime is 61344044353.

61344044316 is a `hidden beast` number, since 613 + 4 + 4 + 0 + 4 + 4 + 31 + 6 = 666.

61344044316 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8780020 + ... + 8787003.

Almost surely, 261344044316 is an apocalyptic number.

It is an amenable number.

61344044316 is an abundant number, since it is smaller than the sum of its proper divisors (95318675716).

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

61344044316 is a wasteful number, since it uses less digits than its factorization.

61344044316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17567130 (or 17567125 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

It can be divided in two parts, 613440 and 44316, that added together give a palindrome (657756).

The spelling of 61344044316 in words is "sixty-one billion, three hundred forty-four million, forty-four thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 97 194 291 388 582 873 1164 1746 3492 17567023 35134046 52701069 70268092 105402138 158103207 210804276 316206414 632412828 1704001231 3408002462 5112003693 6816004924 10224007386 15336011079 20448014772 30672022158 61344044316