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12458381407 = 377319323899
BaseRepresentation
bin10111001101001001…
…11101000001011111
31012011020122100102121
423212210331001133
5201003321201112
65420122203411
7620505331453
oct134644750137
935136570377
1012458381407
11531348238a
1224b8353567
131237107424
1486285c663
154cdb17407
hex2e693d05f

12458381407 has 16 divisors (see below), whose sum is σ = 13038119200. Its totient is φ = 11893174272.

The previous prime is 12458381381. The next prime is 12458381417. The reversal of 12458381407 is 70418385421.

It is a cyclic number.

It is not a de Polignac number, because 12458381407 - 211 = 12458379359 is a prime.

It is a super-2 number, since 2×124583814072 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12458381417) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 509344 + ... + 533242.

It is an arithmetic number, because the mean of its divisors is an integer number (814882450).

Almost surely, 212458381407 is an apocalyptic number.

12458381407 is a deficient number, since it is larger than the sum of its proper divisors (579737793).

12458381407 is a wasteful number, since it uses less digits than its factorization.

12458381407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24202.

The product of its (nonzero) digits is 215040, while the sum is 43.

The spelling of 12458381407 in words is "twelve billion, four hundred fifty-eight million, three hundred eighty-one thousand, four hundred seven".

Divisors: 1 37 73 193 2701 7141 14089 23899 521293 884263 1744627 4612507 64551199 170662759 336713011 12458381407