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426343554528 = 253311093131071
BaseRepresentation
bin1100011010001000000…
…11100101110111100000
31111202110121121121010120
412031010003211313200
523441122422221103
6523505354000240
742542122263663
oct6150403456740
91452417547116
10426343554528
111548a1904871
126a765716080
133128631c228
14168c6b676da
15b154511253
hex63440e5de0

426343554528 has 96 divisors (see below), whose sum is σ = 1156319281152. Its totient is φ = 137403302400.

The previous prime is 426343554517. The next prime is 426343554551. The reversal of 426343554528 is 825455343624.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3187233 + ... + 3318303.

It is an arithmetic number, because the mean of its divisors is an integer number (12044992512).

Almost surely, 2426343554528 is an apocalyptic number.

426343554528 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426343554528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578159640576).

426343554528 is an abundant number, since it is smaller than the sum of its proper divisors (729975726624).

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

426343554528 is a wasteful number, since it uses less digits than its factorization.

426343554528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132208 (or 132200 counting only the distinct ones).

The product of its digits is 13824000, while the sum is 51.

The spelling of 426343554528 in words is "four hundred twenty-six billion, three hundred forty-three million, five hundred fifty-four thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1093 1488 2186 2976 3279 4372 6558 8744 13116 17488 26232 33883 34976 52464 67766 101649 104928 131071 135532 203298 262142 271064 393213 406596 524284 542128 786426 813192 1048568 1084256 1572852 1626384 2097136 3145704 3252768 4063201 4194272 6291408 8126402 12189603 12582816 16252804 24379206 32505608 48758412 65011216 97516824 130022432 143260603 195033648 286521206 390067296 429781809 573042412 859563618 1146084824 1719127236 2292169648 3438254472 4441078693 4584339296 6876508944 8882157386 13323236079 13753017888 17764314772 26646472158 35528629544 53292944316 71057259088 106585888632 142114518176 213171777264 426343554528