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86213436828 = 223295925116729
BaseRepresentation
bin101000001001010111…
…0001010010110011100
322020112100210100221220
41100102232022112130
52403031114434303
6103334513053340
76141310056531
oct1202256122634
9266470710856
1086213436828
1133621268142
1214860857250
13818c4b0b5c
14425c066d88
152398c17053
hex1412b8a59c

86213436828 has 96 divisors (see below), whose sum is σ = 212484384000. Its totient is φ = 27166272000.

The previous prime is 86213436811. The next prime is 86213436851. The reversal of 86213436828 is 82863431268.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5145168 + ... + 5161896.

It is an arithmetic number, because the mean of its divisors is an integer number (2213379000).

Almost surely, 286213436828 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86213436828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106242192000).

86213436828 is an abundant number, since it is smaller than the sum of its proper divisors (126270947172).

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

86213436828 is a wasteful number, since it uses less digits than its factorization.

86213436828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17075 (or 17073 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 51.

The spelling of 86213436828 in words is "eighty-six billion, two hundred thirteen million, four hundred thirty-six thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 12 29 58 59 87 116 118 174 177 236 251 348 354 502 708 753 1004 1506 1711 3012 3422 5133 6844 7279 10266 14558 14809 16729 20532 21837 29116 29618 33458 43674 44427 50187 59236 66916 87348 88854 100374 177708 200748 429461 485141 858922 970282 987011 1288383 1455423 1717844 1940564 1974022 2576766 2910846 2961033 3948044 4198979 5153532 5821692 5922066 8397958 11844132 12596937 16795916 25193874 28623319 50387748 57246638 85869957 114493276 121770391 171739914 243540782 247739761 343479828 365311173 487081564 495479522 730622346 743219283 990959044 1461244692 1486438566 2972877132 7184453069 14368906138 21553359207 28737812276 43106718414 86213436828