Search a number
-
+
13826026152 = 23321711295773
BaseRepresentation
bin11001110000001100…
…00110101010101000
31022200120002220022200
430320012012222220
5211303430314102
610203535420200
7666423166101
oct147006065250
938616086280
1013826026152
1159554820a4
12281a384660
1313c4567b83
1495234b3a8
1555dc1a51c
hex338186aa8

13826026152 has 48 divisors (see below), whose sum is σ = 39648166740. Its totient is φ = 4337576448.

The previous prime is 13826026129. The next prime is 13826026213. The reversal of 13826026152 is 25162062831.

13826026152 is a `hidden beast` number, since 1 + 38 + 2 + 6 + 0 + 2 + 615 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13817062116 + 8964036 = 117546^2 + 2994^2 .

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

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, 5646663 + ... + 5649110.

Almost surely, 213826026152 is an apocalyptic number.

13826026152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13826026152 is an abundant number, since it is smaller than the sum of its proper divisors (25822140588).

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

13826026152 is a wasteful number, since it uses less digits than its factorization.

13826026152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11295802 (or 11295795 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 13826026152 its reverse (25162062831), we get a palindrome (38988088983).

The spelling of 13826026152 in words is "thirteen billion, eight hundred twenty-six million, twenty-six thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 11295773 22591546 33887319 45183092 67774638 90366184 101661957 135549276 192028141 203323914 271098552 384056282 406647828 576084423 768112564 813295656 1152168846 1536225128 1728253269 2304337692 3456506538 4608675384 6913013076 13826026152