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6420057024 = 263191175067
BaseRepresentation
bin1011111101010101…
…00100101111000000
3121120102110200120210
411332222210233000
5101122013311044
62541020034120
7315044404263
oct57652445700
917512420523
106420057024
1127a4a55957
1212b2092940
137b4110714
1444c914cda
1527895e1b9
hex17eaa4bc0

6420057024 has 56 divisors (see below), whose sum is σ = 17075432448. Its totient is φ = 2128802560.

The previous prime is 6420057011. The next prime is 6420057029. The reversal of 6420057024 is 4207500246.

It is a junction number, because it is equal to n+sod(n) for n = 6420056982 and 6420057000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6420057029) 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 7 ways as a sum of consecutive naturals, for example, 50862 + ... + 124205.

Almost surely, 26420057024 is an apocalyptic number.

6420057024 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

6420057024 is an abundant number, since it is smaller than the sum of its proper divisors (10655375424).

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

6420057024 is a wasteful number, since it uses less digits than its factorization.

6420057024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175273 (or 175263 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 6420057024 is about 80125.2583396771. The cubic root of 6420057024 is about 1858.5730204374.

The spelling of 6420057024 in words is "six billion, four hundred twenty million, fifty-seven thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 191 192 382 573 764 1146 1528 2292 3056 4584 6112 9168 12224 18336 36672 175067 350134 525201 700268 1050402 1400536 2100804 2801072 4201608 5602144 8403216 11204288 16806432 33437797 33612864 66875594 100313391 133751188 200626782 267502376 401253564 535004752 802507128 1070009504 1605014256 2140019008 3210028512 6420057024