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146211425550 = 23252378781467
BaseRepresentation
bin1000100000101011100…
…0010100110100001110
3111222101201120222202100
42020022320110310032
54343420111104200
6151100230135530
713364153416461
oct2101270246416
9458351528670
10146211425550
115700a5a1093
1224405ab15a6
1310a316b5728
1471105552d8
153c0b1bdd00
hex220ae14d0e

146211425550 has 72 divisors (see below), whose sum is σ = 403438202856. Its totient is φ = 37935933120.

The previous prime is 146211425537. The next prime is 146211425551. The reversal of 146211425550 is 55524112641.

146211425550 is a `hidden beast` number, since 1 + 4 + 62 + 1 + 1 + 42 + 5 + 550 = 666.

It is a super-2 number, since 2×1462114255502 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146211425551) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4374084 + ... + 4407383.

It is an arithmetic number, because the mean of its divisors is an integer number (5603308373).

Almost surely, 2146211425550 is an apocalyptic number.

146211425550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

146211425550 is an abundant number, since it is smaller than the sum of its proper divisors (257226777306).

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

146211425550 is a wasteful number, since it uses less digits than its factorization.

146211425550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8781522 (or 8781514 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 146211425550 in words is "one hundred forty-six billion, two hundred eleven million, four hundred twenty-five thousand, five hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 37 45 50 74 75 90 111 150 185 222 225 333 370 450 555 666 925 1110 1665 1850 2775 3330 5550 8325 16650 8781467 17562934 26344401 43907335 52688802 79033203 87814670 131722005 158066406 219536675 263444010 324914279 395166015 439073350 649828558 658610025 790332030 974742837 1317220050 1624571395 1949485674 1975830075 2924228511 3249142790 3951660150 4873714185 5848457022 8122856975 9747428370 14621142555 16245713950 24368570925 29242285110 48737141850 73105712775 146211425550