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90816605550 = 232521118346789
BaseRepresentation
bin101010010010100010…
…1110110110101101110
322200102011110120100100
41110211011312311232
52441443022334200
6105415351011530
76363343260516
oct1244505666556
9280364416310
1090816605550
1135573673a10
1215726369ba6
13874406a528
14457754a846
152567dd3d00
hex1525176d6e

90816605550 has 72 divisors (see below), whose sum is σ = 266175229320. Its totient is φ = 22016145600.

The previous prime is 90816605513. The next prime is 90816605647. The reversal of 90816605550 is 5550661809.

It is a happy number.

90816605550 is a `hidden beast` number, since 90 + 8 + 1 + 6 + 6 + 0 + 5 + 550 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 90816605496 and 90816605505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9168445 + ... + 9178344.

It is an arithmetic number, because the mean of its divisors is an integer number (3696878185).

Almost surely, 290816605550 is an apocalyptic number.

90816605550 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

90816605550 is an abundant number, since it is smaller than the sum of its proper divisors (175358623770).

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

90816605550 is a wasteful number, since it uses less digits than its factorization.

90816605550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18346818 (or 18346810 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The spelling of 90816605550 in words is "ninety billion, eight hundred sixteen million, six hundred five thousand, five hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 30 33 45 50 55 66 75 90 99 110 150 165 198 225 275 330 450 495 550 825 990 1650 2475 4950 18346789 36693578 55040367 91733945 110080734 165121101 183467890 201814679 275201835 330242202 403629358 458669725 550403670 605444037 825605505 917339450 1009073395 1210888074 1376009175 1651211010 1816332111 2018146790 2752018350 3027220185 3632664222 4128027525 5045366975 6054440370 8256055050 9081660555 10090733950 15136100925 18163321110 30272201850 45408302775 90816605550