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13540420376 = 23719103123553
BaseRepresentation
bin11001001110001001…
…00110101100011000
31021221122200121211222
430213010212230120
5210212321423001
610115334111212
7656354450150
oct144704465430
937848617758
1013540420376
11581923a26a
12275a7ab508
13137a339a82
14926443760
15543b0161b
hex327126b18

13540420376 has 64 divisors (see below), whose sum is σ = 30839078400. Its totient is φ = 5444195328.

The previous prime is 13540420373. The next prime is 13540420381. The reversal of 13540420376 is 67302404531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13540420373) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47816 + ... + 171368.

It is an arithmetic number, because the mean of its divisors is an integer number (481860600).

Almost surely, 213540420376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13540420376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15419539200).

13540420376 is an abundant number, since it is smaller than the sum of its proper divisors (17298658024).

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

13540420376 is a wasteful number, since it uses less digits than its factorization.

13540420376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123688 (or 123684 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 35.

The spelling of 13540420376 in words is "thirteen billion, five hundred forty million, four hundred twenty thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 103 133 152 206 266 412 532 721 824 1064 1442 1957 2884 3914 5768 7828 13699 15656 27398 54796 109592 123553 247106 494212 864871 988424 1729742 2347507 3459484 4695014 6918968 9390028 12725959 16432549 18780056 25451918 32865098 50903836 65730196 89081713 101807672 131460392 178163426 241793221 356326852 483586442 712653704 967172884 1692552547 1934345768 3385105094 6770210188 13540420376