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28345936437 = 32713231504801
BaseRepresentation
bin11010011001100011…
…001010101000110101
32201011110212202201200
4122121203022220311
5431023024431222
621004423443113
72022303325050
oct323143125065
981143782650
1028345936437
11110265a6655
1255b0bb6499
1328997b0470
14152c8bda97
15b0d7eaeac
hex6998caa35

28345936437 has 48 divisors (see below), whose sum is σ = 52583801088. Its totient is φ = 14301619200.

The previous prime is 28345936403. The next prime is 28345936439. The reversal of 28345936437 is 73463954382.

28345936437 is a `hidden beast` number, since 2 + 8 + 3 + 4 + 593 + 6 + 43 + 7 = 666.

It is not a de Polignac number, because 28345936437 - 215 = 28345903669 is a prime.

It is a super-2 number, since 2×283459364372 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28345936439) 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 47 ways as a sum of consecutive naturals, for example, 733564 + ... + 771237.

It is an arithmetic number, because the mean of its divisors is an integer number (1095495856).

Almost surely, 228345936437 is an apocalyptic number.

It is an amenable number.

28345936437 is a deficient number, since it is larger than the sum of its proper divisors (24237864651).

28345936437 is a wasteful number, since it uses less digits than its factorization.

28345936437 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1504850 (or 1504847 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 54.

The spelling of 28345936437 in words is "twenty-eight billion, three hundred forty-five million, nine hundred thirty-six thousand, four hundred thirty-seven".

Divisors: 1 3 7 9 13 21 23 39 63 69 91 117 161 207 273 299 483 819 897 1449 2093 2691 6279 18837 1504801 4514403 10533607 13543209 19562413 31600821 34610423 58687239 94802463 103831269 136936891 176061717 242272961 311493807 410810673 449935499 726818883 1232432019 1349806497 2180456649 3149548493 4049419491 9448645479 28345936437