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13687174424 = 2371128572357
BaseRepresentation
bin11001011111101000…
…11011010100011000
31022022212211111120002
430233310123110120
5211012404040144
610142055352132
7663116030420
oct145764332430
938285744502
1013687174424
115894064800
12279b982648
1313a18703a1
1493bb25480
1555193e14e
hex32fd1b518

13687174424 has 96 divisors (see below), whose sum is σ = 32289697440. Its totient is φ = 5324183040.

The previous prime is 13687174411. The next prime is 13687174433. The reversal of 13687174424 is 42447178631.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5805854 + ... + 5808210.

It is an arithmetic number, because the mean of its divisors is an integer number (336351015).

Almost surely, 213687174424 is an apocalyptic number.

13687174424 is a gapful number since it is divisible by the number (14) 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 13687174424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16144848720).

13687174424 is an abundant number, since it is smaller than the sum of its proper divisors (18602523016).

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

13687174424 is a wasteful number, since it uses less digits than its factorization.

13687174424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3249 (or 3234 counting only the distinct ones).

The product of its digits is 903168, while the sum is 47.

The spelling of 13687174424 in words is "thirteen billion, six hundred eighty-seven million, one hundred seventy-four thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 121 154 242 308 484 616 847 857 968 1694 1714 2357 3388 3428 4714 5999 6776 6856 9427 9428 11998 16499 18854 18856 23996 25927 32998 37708 47992 51854 65989 65996 75416 103697 103708 131978 131992 181489 207394 207416 263956 285197 362978 414788 527912 570394 725879 725956 829576 1140788 1451758 1451912 1996379 2019949 2281576 2903516 3992758 4039898 5807032 7985516 8079796 14139643 15971032 16159592 22219439 28279286 44438878 56558572 88877756 113117144 155536073 177755512 244413829 311072146 488827658 622144292 977655316 1244288584 1710896803 1955310632 3421793606 6843587212 13687174424