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61324442316 = 22323974290823
BaseRepresentation
bin111001000111001110…
…001011101011001100
312212021210202110001100
4321013032023223030
52001043024123231
644101055343100
74300451105364
oct710716135314
9185253673040
1061324442316
112400a05a195
12ba75521a90
135a23c72577
142d7a7379a4
1518ddb701e6
hexe4738bacc

61324442316 has 36 divisors (see below), whose sum is σ = 155405063632. Its totient is φ = 20389986144.

The previous prime is 61324442279. The next prime is 61324442419.

61324442316 is a `hidden beast` number, since 61 + 3 + 244 + 42 + 316 = 666.

61324442316 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 super-2 number, since 2×613244423162 (a number of 22 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

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, 2131120 + ... + 2159703.

Almost surely, 261324442316 is an apocalyptic number.

It is an amenable number.

61324442316 is an abundant number, since it is smaller than the sum of its proper divisors (94080621316).

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

61324442316 is a wasteful number, since it uses less digits than its factorization.

61324442316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4291230 (or 4291225 counting only the distinct ones).

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

The spelling of 61324442316 in words is "sixty-one billion, three hundred twenty-four million, four hundred forty-two thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 397 794 1191 1588 2382 3573 4764 7146 14292 4290823 8581646 12872469 17163292 25744938 38617407 51489876 77234814 154469628 1703456731 3406913462 5110370193 6813826924 10220740386 15331110579 20441480772 30662221158 61324442316