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10427583740 = 225774482741
BaseRepresentation
bin10011011011000100…
…00100110011111100
3222220201100010202012
421231202010303330
5132323430134430
64442415150352
7516255666530
oct115542046374
928821303665
1010427583740
114471110002
1220302153b8
13ca2468cc2
1470cc67bc0
154106be695
hex26d884cfc

10427583740 has 24 divisors (see below), whose sum is σ = 25026201312. Its totient is φ = 3575171520.

The previous prime is 10427583697. The next prime is 10427583757. The reversal of 10427583740 is 4738572401.

10427583740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 7 ways as a sum of consecutive naturals, for example, 37241231 + ... + 37241510.

It is an arithmetic number, because the mean of its divisors is an integer number (1042758388).

Almost surely, 210427583740 is an apocalyptic number.

10427583740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10427583740 is an abundant number, since it is smaller than the sum of its proper divisors (14598617572).

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

10427583740 is a wasteful number, since it uses less digits than its factorization.

10427583740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74482757 (or 74482755 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 41.

The spelling of 10427583740 in words is "ten billion, four hundred twenty-seven million, five hundred eighty-three thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 74482741 148965482 297930964 372413705 521379187 744827410 1042758374 1489654820 2085516748 2606895935 5213791870 10427583740