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85434612127 = 1937210213217
BaseRepresentation
bin100111110010001001…
…1001011100110011111
322011112002021222022121
41033210103023212133
52344432230042002
6103125332123411
76113102135554
oct1174423134637
9264462258277
1085434612127
113326167a667
1214683a66567
138097033337
1441c6850a2b
152350674237
hex13e44cb99f

85434612127 has 24 divisors (see below), whose sum is σ = 92546719440. Its totient is φ = 78648952320.

The previous prime is 85434612091. The next prime is 85434612167. The reversal of 85434612127 is 72121643458.

It is a de Polignac number, because none of the positive numbers 2k-85434612127 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85434612167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26555623 + ... + 26558839.

It is an arithmetic number, because the mean of its divisors is an integer number (3856113310).

Almost surely, 285434612127 is an apocalyptic number.

85434612127 is a deficient number, since it is larger than the sum of its proper divisors (7112107313).

85434612127 is a wasteful number, since it uses less digits than its factorization.

85434612127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4331 (or 4294 counting only the distinct ones).

The product of its digits is 322560, while the sum is 43.

The spelling of 85434612127 in words is "eighty-five billion, four hundred thirty-four million, six hundred twelve thousand, one hundred twenty-seven".

Divisors: 1 19 37 703 1021 1369 3217 19399 26011 37777 61123 119029 717763 1397749 2261551 3284557 4404073 26557231 62406583 83677387 121528609 2309043571 4496558533 85434612127