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1356113052 = 2232717794007
BaseRepresentation
bin101000011010100…
…1010010010011100
310111111202200101100
41100311022102130
510234131104202
6342322113100
745414525240
oct12065122234
93444680340
101356113052
11636543898
1231a1ab790
13187c53978
14cc16a420
157e0c641c
hex50d4a49c

1356113052 has 144 divisors (see below), whose sum is σ = 4201666560. Its totient is φ = 359963136.

The previous prime is 1356113047. The next prime is 1356113081. The reversal of 1356113052 is 2503116531.

1356113052 is a `hidden beast` number, since 1 + 356 + 1 + 1 + 305 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 336433 + ... + 340439.

It is an arithmetic number, because the mean of its divisors is an integer number (29178240).

Almost surely, 21356113052 is an apocalyptic number.

1356113052 is a gapful number since it is divisible by the number (12) 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 1356113052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2100833280).

1356113052 is an abundant number, since it is smaller than the sum of its proper divisors (2845553508).

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

1356113052 is a wasteful number, since it uses less digits than its factorization.

1356113052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4120 (or 4115 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 1356113052 is about 36825.4402825004. The cubic root of 1356113052 is about 1106.8751361676.

Adding to 1356113052 its reverse (2503116531), we get a palindrome (3859229583).

The spelling of 1356113052 in words is "one billion, three hundred fifty-six million, one hundred thirteen thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 79 84 102 119 126 153 158 204 237 238 252 306 316 357 474 476 553 612 711 714 948 1071 1106 1343 1422 1428 1659 2142 2212 2686 2844 3318 4007 4029 4284 4977 5372 6636 8014 8058 9401 9954 12021 12087 16028 16116 18802 19908 24042 24174 28049 28203 36063 37604 48084 48348 56098 56406 68119 72126 84147 84609 112196 112812 136238 144252 168294 169218 204357 252441 272476 316553 336588 338436 408714 476833 504882 613071 633106 817428 949659 953666 1009764 1226142 1266212 1430499 1899318 1907332 2215871 2452284 2848977 2860998 3798636 4291497 4431742 5381401 5697954 5721996 6647613 8582994 8863484 10762802 11395908 13295226 16144203 17165988 19942839 21525604 26590452 32288406 37669807 39885678 48432609 64576812 75339614 79771356 96865218 113009421 150679228 193730436 226018842 339028263 452037684 678056526 1356113052