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13680011480 = 2353743321347
BaseRepresentation
bin11001011110110010…
…00110100011011000
31022022101100120211212
430233121012203120
5211004040331410
610141242042252
7663001115252
oct145731064330
938271316755
1013680011480
115890012113
1227994a9388
1313a0232c65
1493abbccd2
15550ec6b05
hex32f6468d8

13680011480 has 64 divisors (see below), whose sum is σ = 31686409440. Its totient is φ = 5311567872.

The previous prime is 13680011479. The next prime is 13680011509. The reversal of 13680011480 is 8411008631.

It is a happy number.

13680011480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 630167 + ... + 651513.

Almost surely, 213680011480 is an apocalyptic number.

13680011480 is a gapful number since it is divisible by the number (10) 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 13680011480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15843204720).

13680011480 is an abundant number, since it is smaller than the sum of its proper divisors (18006397960).

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

13680011480 is a wasteful number, since it uses less digits than its factorization.

13680011480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21828 (or 21824 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 32.

The spelling of 13680011480 in words is "thirteen billion, six hundred eighty million, eleven thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 433 740 866 1480 1732 2165 3464 4330 8660 16021 17320 21347 32042 42694 64084 80105 85388 106735 128168 160210 170776 213470 320420 426940 640840 789839 853880 1579678 3159356 3949195 6318712 7898390 9243251 15796780 18486502 31593560 36973004 46216255 73946008 92432510 184865020 342000287 369730040 684000574 1368001148 1710001435 2736002296 3420002870 6840005740 13680011480