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146748134448 = 24321676102301
BaseRepresentation
bin1000100010101011011…
…1101101010000110000
3112000210010111121221200
42020222313231100300
54401020010300243
6151225401451200
713413361363446
oct2105267552060
9460703447850
10146748134448
1157265550463
12245357a0b00
1310ab8951366
147161944b96
153c3d388ad3
hex222aded430

146748134448 has 60 divisors (see below), whose sum is σ = 413150254608. Its totient is φ = 48623126400.

The previous prime is 146748134447. The next prime is 146748134483. The reversal of 146748134448 is 844431847641.

146748134448 is a `hidden beast` number, since 1 + 4 + 67 + 4 + 8 + 134 + 448 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 146748134394 and 146748134403.

It is not an unprimeable number, because it can be changed into a prime (146748134447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3027103 + ... + 3075198.

Almost surely, 2146748134448 is an apocalyptic number.

146748134448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

146748134448 is an abundant number, since it is smaller than the sum of its proper divisors (266402120160).

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

146748134448 is a wasteful number, since it uses less digits than its factorization.

146748134448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6102482 (or 6102473 counting only the distinct ones).

The product of its digits is 8257536, while the sum is 54.

The spelling of 146748134448 in words is "one hundred forty-six billion, seven hundred forty-eight million, one hundred thirty-four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 167 334 501 668 1002 1336 1503 2004 2672 3006 4008 6012 8016 12024 24048 6102301 12204602 18306903 24409204 36613806 48818408 54920709 73227612 97636816 109841418 146455224 219682836 292910448 439365672 878731344 1019084267 2038168534 3057252801 4076337068 6114505602 8152674136 9171758403 12229011204 16305348272 18343516806 24458022408 36687033612 48916044816 73374067224 146748134448