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11604428323425 = 3252724517233021
BaseRepresentation
bin1010100011011101110111…
…0100111111101001100001
31112002101001120011212112100
42220313131310333221201
53010111332122322200
640403000100121013
72305251360153300
oct250673564775141
945071046155470
1011604428323425
113774457297433
121375023696169
136623a6650382
142c192b9c8437
15151cd01a7d00
hexa8dddd3fa61

11604428323425 has 108 divisors (see below), whose sum is σ = 24183717099516. Its totient is φ = 5303684332800.

The previous prime is 11604428323409. The next prime is 11604428323471. The reversal of 11604428323425 is 52432382440611.

11604428323425 is a `hidden beast` number, since 1 + 1 + 604 + 4 + 2 + 8 + 3 + 2 + 34 + 2 + 5 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 945326453841 + 10659101869584 = 972279^2 + 3264828^2 .

It is not a de Polignac number, because 11604428323425 - 24 = 11604428323409 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 49683415 + ... + 49916435.

It is an arithmetic number, because the mean of its divisors is an integer number (223923306477).

Almost surely, 211604428323425 is an apocalyptic number.

11604428323425 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11604428323425 is an abundant number, since it is smaller than the sum of its proper divisors (12579288776091).

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

11604428323425 is a wasteful number, since it uses less digits than its factorization.

11604428323425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237568 (or 237553 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 11604428323425 in words is "eleven trillion, six hundred four billion, four hundred twenty-eight million, three hundred twenty-three thousand, four hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 49 63 75 105 147 175 225 245 315 441 525 735 1225 1575 2205 3675 4517 11025 13551 22585 31619 40653 67755 94857 112925 158095 203265 221333 233021 284571 338775 474285 663999 699063 790475 1016325 1106665 1165105 1422855 1631147 1991997 2097189 2371425 3319995 3495315 4893441 5533325 5825525 7114275 8155735 9959985 10485945 11418029 14680323 16599975 17476575 24467205 34254087 40778675 49799925 52429725 57090145 73401615 102762261 122336025 171270435 285450725 367008075 513811305 856352175 1052555857 2569056525 3157667571 5262779285 7367890999 9473002713 15788337855 22103672997 26313896425 36839454995 47365013565 51575236993 66311018991 78941689275 110518364985 154725710979 184197274975 236825067825 257876184965 331555094955 464177132937 552591824925 773628554895 1289380924825 1657775474775 2320885664685 3868142774475 11604428323425