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86134043436 = 223711315435881
BaseRepresentation
bin101000000110111111…
…1010011001100101100
322020022211101202200220
41100031333103030230
52402400303342221
6103322555251340
76136324201110
oct1201577231454
9266284352626
1086134043436
1133590470771
121483a149b50
138178c0390c
1442516bb740
152391c830c6
hex140dfd332c

86134043436 has 96 divisors (see below), whose sum is σ = 231913049088. Its totient is φ = 24371988480.

The previous prime is 86134043389. The next prime is 86134043483. The reversal of 86134043436 is 63434043168.

It is an interprime number because it is at equal distance from previous prime (86134043389) and next prime (86134043483).

It is a Harshad number since it is a multiple of its sum of digits (42).

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 31 ways as a sum of consecutive naturals, for example, 14643216 + ... + 14649096.

It is an arithmetic number, because the mean of its divisors is an integer number (2415760928).

Almost surely, 286134043436 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 86134043436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115956524544).

86134043436 is an abundant number, since it is smaller than the sum of its proper divisors (145779005652).

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

86134043436 is a wasteful number, since it uses less digits than its factorization.

86134043436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7551 (or 7549 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 42.

The spelling of 86134043436 in words is "eighty-six billion, one hundred thirty-four million, forty-three thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 113 226 339 452 678 791 1356 1543 1582 2373 3086 3164 4629 4746 5881 6172 9258 9492 10801 11762 17643 18516 21602 23524 32403 35286 41167 43204 64806 70572 82334 123501 129612 164668 174359 247002 348718 494004 523077 664553 697436 1046154 1220513 1329106 1993659 2092308 2441026 2658212 3661539 3987318 4651871 4882052 7323078 7974636 9074383 9303742 13955613 14646156 18148766 18607484 27223149 27911226 36297532 54446298 55822452 63520681 108892596 127041362 190562043 254082724 381124086 762248172 1025405279 2050810558 3076215837 4101621116 6152431674 7177836953 12304863348 14355673906 21533510859 28711347812 43067021718 86134043436