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145922976256 = 29594830607
BaseRepresentation
bin1000011111100110101…
…1111110101000000000
3111221122121211020201011
42013321223332220000
54342322240220011
6151011443450304
713354051555441
oct2077153765000
9457577736634
10145922976256
1156981796942
1224345386994
13109b6a00285
1470c410b2c8
153be0be2621
hex21f9afea00

145922976256 has 40 divisors (see below), whose sum is σ = 296502719040. Its totient is φ = 71724837888.

The previous prime is 145922976239. The next prime is 145922976263. The reversal of 145922976256 is 652679229541.

It is a happy number.

145922976256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 145922976256.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2385096 + ... + 2445511.

It is an arithmetic number, because the mean of its divisors is an integer number (7412567976).

Almost surely, 2145922976256 is an apocalyptic number.

145922976256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

145922976256 is an abundant number, since it is smaller than the sum of its proper divisors (150579742784).

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

145922976256 is an frugal number, since it uses more digits than its factorization.

145922976256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4830684 (or 4830668 counting only the distinct ones).

The product of its digits is 16329600, while the sum is 58.

The spelling of 145922976256 in words is "one hundred forty-five billion, nine hundred twenty-two million, nine hundred seventy-six thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 32 59 64 118 128 236 256 472 512 944 1888 3776 7552 15104 30208 4830607 9661214 19322428 38644856 77289712 154579424 285005813 309158848 570011626 618317696 1140023252 1236635392 2280046504 2473270784 4560093008 9120186016 18240372032 36480744064 72961488128 145922976256