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13712948976 = 243599749919
BaseRepresentation
bin11001100010101101…
…01111111011110000
31022101200022222121010
430301112233323300
5211041003331401
610144420030520
7663551100036
oct146126577360
938350288533
1013712948976
1158a7669591
1227a8532440
1313a6cc5cbc
14941314556
15553d30ed6
hex3315afef0

13712948976 has 80 divisors (see below), whose sum is σ = 36397670400. Its totient is φ = 4447094784.

The previous prime is 13712948971. The next prime is 13712949049. The reversal of 13712948976 is 67984921731.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13712948971) 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, 249745 + ... + 299663.

It is an arithmetic number, because the mean of its divisors is an integer number (454970880).

Almost surely, 213712948976 is an apocalyptic number.

13712948976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13712948976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18198835200).

13712948976 is an abundant number, since it is smaller than the sum of its proper divisors (22684721424).

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

13712948976 is a wasteful number, since it uses less digits than its factorization.

13712948976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50086 (or 50080 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 57.

The spelling of 13712948976 in words is "thirteen billion, seven hundred twelve million, nine hundred forty-eight thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 59 97 118 177 194 236 291 354 388 472 582 708 776 944 1164 1416 1552 2328 2832 4656 5723 11446 17169 22892 34338 45784 49919 68676 91568 99838 137352 149757 199676 274704 299514 399352 599028 798704 1198056 2396112 2945221 4842143 5890442 8835663 9684286 11780884 14526429 17671326 19368572 23561768 29052858 35342652 38737144 47123536 58105716 70685304 77474288 116211432 141370608 232422864 285686437 571372874 857059311 1142745748 1714118622 2285491496 3428237244 4570982992 6856474488 13712948976