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86676127803551 = 11132732392672387
BaseRepresentation
bin10011101101010011011011…
…110011101110100010011111
3102100220011020101010202002002
4103231103123303232202133
542330100202204203201
6504202244032552515
724154100151126626
oct2355233363564237
9370804211122062
1086676127803551
1125688159559710
12987a4b79b273b
1339496a698c700
14175920b3da6bd
15a049a1cd076b
hex4ed4dbcee89f

86676127803551 has 48 divisors (see below), whose sum is σ = 104225697492480. Its totient is φ = 71438650133760.

The previous prime is 86676127803509. The next prime is 86676127803553. The reversal of 86676127803551 is 15530872167668.

It is not a de Polignac number, because 86676127803551 - 214 = 86676127787167 is a prime.

It is a super-2 number, since 2×866761278035512 (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (65) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86676127803553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31097780 + ... + 33770166.

It is an arithmetic number, because the mean of its divisors is an integer number (2171368697760).

Almost surely, 286676127803551 is an apocalyptic number.

86676127803551 is a deficient number, since it is larger than the sum of its proper divisors (17549569688929).

86676127803551 is a wasteful number, since it uses less digits than its factorization.

86676127803551 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2672736 (or 2672723 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 65.

The spelling of 86676127803551 in words is "eighty-six trillion, six hundred seventy-six billion, one hundred twenty-seven million, eight hundred three thousand, five hundred fifty-one".

Divisors: 1 11 13 73 143 169 239 803 949 1859 2629 3107 10439 12337 17447 34177 40391 135707 191917 226811 444301 2494921 2672387 2948543 29396257 32433973 34741031 195084251 382151341 451633403 638700493 2145926761 2536095263 4967967433 7025705423 8303106409 27897047893 32969238419 46625135989 91334170499 107940383317 362661622609 512876495879 606126767857 1187344216487 6667394446427 7879647982141 86676127803551