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127390815642 = 23473797118973
BaseRepresentation
bin111011010100100010…
…1011001010110011010
3110011211002021221120010
41312221011121112122
54041344022100032
6134304511142350
712126602031606
oct1665105312632
9404732257503
10127390815642
114a031881322
1220832b149b6
13c02246736c
146246b56506
1534a8c6bccc
hex1da915959a

127390815642 has 32 divisors (see below), whose sum is σ = 260273233152. Its totient is φ = 41548829504.

The previous prime is 127390815589. The next prime is 127390815659. The reversal of 127390815642 is 246518093721.

It is a junction number, because it is equal to n+sod(n) for n = 127390815591 and 127390815600.

It is an unprimeable number.

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, 1011268 + ... + 1130240.

It is an arithmetic number, because the mean of its divisors is an integer number (8133538536).

It is a 1-persistent number, because it is pandigital, but 2⋅127390815642 = 254781631284 is not.

Almost surely, 2127390815642 is an apocalyptic number.

It is a pronic number, being equal to 356918×356919.

127390815642 is an abundant number, since it is smaller than the sum of its proper divisors (132882417510).

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

127390815642 is a wasteful number, since it uses less digits than its factorization.

127390815642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122822.

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 127390815642 in words is "one hundred twenty-seven billion, three hundred ninety million, eight hundred fifteen thousand, six hundred forty-two".

Divisors: 1 2 3 6 47 94 141 282 3797 7594 11391 22782 118973 178459 237946 356918 356919 535377 713838 1070754 5591731 11183462 16775193 33550386 451740481 903480962 1355221443 2710442886 21231802607 42463605214 63695407821 127390815642