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553252215211425 = 325253227172042273
BaseRepresentation
bin111110111001011100001000…
…1110000100100010110100001
32200112220101200010102102221100
41331302320101300210112201
51040003441014043231200
65240400320421545013
7224351103434645202
oct17562702160442641
92615811603372840
10553252215211425
11150312a4625aa24
1252073b9b575169
131a9925c9901a22
149a8979b6495a9
1543e655e2ded00
hex1f72e11c245a1

553252215211425 has 72 divisors (see below), whose sum is σ = 1009678037489784. Its totient is φ = 289487644692480.

The previous prime is 553252215211417. The next prime is 553252215211447. The reversal of 553252215211425 is 524112512252355.

553252215211425 is a `hidden beast` number, since 5 + 5 + 3 + 2 + 5 + 2 + 2 + 1 + 5 + 211 + 425 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 100481397969681 + 452770817241744 = 10024041^2 + 21278412^2 .

It is not a de Polignac number, because 553252215211425 - 23 = 553252215211417 is a prime.

It is a super-3 number, since 3×5532522152114253 (a number of 45 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 269879089 + ... + 271921361.

It is an arithmetic number, because the mean of its divisors is an integer number (14023306076247).

Almost surely, 2553252215211425 is an apocalyptic number.

It is an amenable number.

553252215211425 is a deficient number, since it is larger than the sum of its proper divisors (456425822278359).

553252215211425 is a wasteful number, since it uses less digits than its factorization.

553252215211425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2065059 (or 2065051 counting only the distinct ones).

The product of its digits is 1200000, while the sum is 45.

The spelling of 553252215211425 in words is "five hundred fifty-three trillion, two hundred fifty-two billion, two hundred fifteen million, two hundred eleven thousand, four hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 53 75 159 225 265 477 795 1325 2385 3975 11925 22717 68151 113585 204453 340755 567925 1022265 1204001 1703775 2042273 3612003 5111325 6020005 6126819 10211365 10836009 18060015 18380457 30100025 30634095 51056825 54180045 90300075 91902285 108240469 153170475 270900225 324721407 459511425 541202345 974164221 1623607035 2706011725 4870821105 8118035175 24354105525 46394315741 139182947223 231971578705 417548841669 695914736115 1159857893525 2087744208345 2458898734273 3479573680575 7376696202819 10438721041725 12294493671365 22130088608457 36883481014095 61472468356825 110650443042285 184417405070475 553252215211425