Search a number
-
+
104253535512 = 23337523131837
BaseRepresentation
bin110000100010111111…
…1101011010100011000
3100222002121102100001000
41201011333223110120
53202002401114022
6115520551025000
710350333300450
oct1410577532430
9328077370030
10104253535512
1140239448305
121825636b160
139aa5b10b69
14508dd30d60
152aa28916ac
hex1845feb518

104253535512 has 128 divisors (see below), whose sum is σ = 331598937600. Its totient is φ = 29729545344.

The previous prime is 104253535511. The next prime is 104253535513. The reversal of 104253535512 is 215535352401.

104253535512 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 53 + 53 + 551 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (104253535511) and next prime (104253535513).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104253535511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 724858 + ... + 856694.

It is an arithmetic number, because the mean of its divisors is an integer number (2590616700).

Almost surely, 2104253535512 is an apocalyptic number.

104253535512 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 104253535512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165799468800).

104253535512 is an abundant number, since it is smaller than the sum of its proper divisors (227345402088).

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

104253535512 is a wasteful number, since it uses less digits than its factorization.

104253535512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132382 (or 132372 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

Adding to 104253535512 its reverse (215535352401), we get a palindrome (319788887913).

The spelling of 104253535512 in words is "one hundred four billion, two hundred fifty-three million, five hundred thirty-five thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 523 756 1046 1512 1569 2092 3138 3661 4184 4707 6276 7322 9414 10983 12552 14121 14644 18828 21966 28242 29288 32949 37656 43932 56484 65898 87864 98847 112968 131796 131837 197694 263592 263674 395388 395511 527348 790776 791022 922859 1054696 1186533 1582044 1845718 2373066 2768577 3164088 3559599 3691436 4746132 5537154 7119198 7382872 8305731 9492264 11074308 14238396 16611462 22148616 24917193 28476792 33222924 49834386 66445848 68950751 99668772 137901502 199337544 206852253 275803004 413704506 482655257 551606008 620556759 827409012 965310514 1241113518 1447965771 1654818024 1861670277 1930621028 2482227036 2895931542 3723340554 3861242056 4343897313 4964454072 5791863084 7446681108 8687794626 11583726168 13031691939 14893362216 17375589252 26063383878 34751178504 52126767756 104253535512