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61352667431 = 1137933734363
BaseRepresentation
bin111001001000111001…
…110110100100100111
312212100202212102121222
4321020321312210213
52001122240324211
644103544330555
74301243032346
oct711071664447
9185322772558
1061352667431
1124023a88130
12ba82a73a5b
135a29a75713
142d803a3b5d
1518e13981db
hexe48e76927

61352667431 has 16 divisors (see below), whose sum is σ = 67142060160. Its totient is φ = 55598749920.

The previous prime is 61352667403. The next prime is 61352667457. The reversal of 61352667431 is 13476625316.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-61352667431 is a prime.

It is a super-2 number, since 2×613526674312 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61352667401) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 14059856 + ... + 14064218.

It is an arithmetic number, because the mean of its divisors is an integer number (4196378760).

Almost surely, 261352667431 is an apocalyptic number.

61352667431 is a deficient number, since it is larger than the sum of its proper divisors (5789392729).

61352667431 is a wasteful number, since it uses less digits than its factorization.

61352667431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8126.

The product of its digits is 544320, while the sum is 44.

The spelling of 61352667431 in words is "sixty-one billion, three hundred fifty-two million, six hundred sixty-seven thousand, four hundred thirty-one".

Divisors: 1 11 379 3373 4169 4363 37103 47993 1278367 1653577 14062037 14716399 18189347 161880389 5577515221 61352667431