Search a number
-
+
13422088512 = 263273328891
BaseRepresentation
bin11001000000000010…
…01101000101000000
31021122102000202001100
430200001031011000
5204442023313022
610055505534400
7653416604250
oct144001150500
937572022040
1013422088512
115768467838
122727044400
13135b978211
1491483d960
1553852a1ac
hex32004d140

13422088512 has 84 divisors (see below), whose sum is σ = 43968005536. Its totient is φ = 3834881280.

The previous prime is 13422088501. The next prime is 13422088529. The reversal of 13422088512 is 21588022431.

It is a happy number.

13422088512 is a `hidden beast` number, since 1 + 3 + 42 + 20 + 88 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (84).

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 11 ways as a sum of consecutive naturals, for example, 1660414 + ... + 1668477.

Almost surely, 213422088512 is an apocalyptic number.

13422088512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13422088512 is an abundant number, since it is smaller than the sum of its proper divisors (30545917024).

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

13422088512 is a wasteful number, since it uses less digits than its factorization.

13422088512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3328916 (or 3328903 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 13422088512 in words is "thirteen billion, four hundred twenty-two million, eighty-eight thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 3328891 6657782 9986673 13315564 19973346 23302237 26631128 29960019 39946692 46604474 53262256 59920038 69906711 79893384 93208948 106524512 119840076 139813422 159786768 186417896 209720133 213049024 239680152 279626844 319573536 372835792 419440266 479360304 559253688 639147072 745671584 838880532 958720608 1118507376 1491343168 1677761064 1917441216 2237014752 3355522128 4474029504 6711044256 13422088512