Search a number
-
+
13422254496 = 253770128493
BaseRepresentation
bin11001000000000011…
…10101100110100000
31021122102100011201220
430200001311212200
5204442044120441
610055513255040
7653421165210
oct144001654640
937572304656
1013422254496
115768570512
122727104480
13135ba05931
14914884240
1553855e466
hex3200759a0

13422254496 has 96 divisors (see below), whose sum is σ = 40325620608. Its totient is φ = 3829324800.

The previous prime is 13422254491. The next prime is 13422254497. The reversal of 13422254496 is 69445222431.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (13422254491) 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, 456826 + ... + 485318.

It is an arithmetic number, because the mean of its divisors is an integer number (420058548).

Almost surely, 213422254496 is an apocalyptic number.

13422254496 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 13422254496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20162810304).

13422254496 is an abundant number, since it is smaller than the sum of its proper divisors (26903366112).

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

13422254496 is a wasteful number, since it uses less digits than its factorization.

13422254496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29214 (or 29206 counting only the distinct ones).

The product of its digits is 414720, while the sum is 42.

The spelling of 13422254496 in words is "thirteen billion, four hundred twenty-two million, two hundred fifty-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 701 1402 2103 2804 4206 4907 5608 8412 9814 11216 14721 16824 19628 22432 28493 29442 33648 39256 56986 58884 67296 78512 85479 113972 117768 157024 170958 199451 227944 235536 341916 398902 455888 471072 598353 683832 797804 911776 1196706 1367664 1595608 2393412 2735328 3191216 4786824 6382432 9573648 19147296 19973593 39947186 59920779 79894372 119841558 139815151 159788744 239683116 279630302 319577488 419445453 479366232 559260604 639154976 838890906 958732464 1118521208 1677781812 1917464928 2237042416 3355563624 4474084832 6711127248 13422254496