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13680011484 = 22332318113041
BaseRepresentation
bin11001011110110010…
…00110100011011100
31022022101100120212000
430233121012203130
5211004040331414
610141242042300
7663001115256
oct145731064334
938271316760
1013680011484
115890012117
1227994a9390
1313a0232c69
1493abbccd6
15550ec6b09
hex32f6468dc

13680011484 has 96 divisors (see below), whose sum is σ = 37041338880. Its totient is φ = 4357900800.

The previous prime is 13680011479. The next prime is 13680011509. The reversal of 13680011484 is 48411008631.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4497004 + ... + 4500044.

It is an arithmetic number, because the mean of its divisors is an integer number (385847280).

Almost surely, 213680011484 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 13680011484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18520669440).

13680011484 is an abundant number, since it is smaller than the sum of its proper divisors (23361327396).

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

13680011484 is a wasteful number, since it uses less digits than its factorization.

13680011484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4888 (or 4880 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 13680011484 in words is "thirteen billion, six hundred eighty million, eleven thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 138 207 276 414 621 828 1242 1811 2484 3041 3622 5433 6082 7244 9123 10866 12164 16299 18246 21732 27369 32598 36492 41653 48897 54738 65196 69943 82107 83306 97794 109476 124959 139886 164214 166612 195588 209829 249918 279772 328428 374877 419658 499836 629487 749754 839316 1124631 1258974 1499508 1888461 2249262 2517948 3776922 4498524 5507251 7553844 11014502 16521753 22029004 33043506 49565259 66087012 99130518 126666773 148695777 198261036 253333546 297391554 380000319 506667092 594783108 760000638 1140000957 1520001276 2280001914 3420002871 4560003828 6840005742 13680011484