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86934027312 = 243211451312161
BaseRepresentation
bin101000011110110101…
…0111111110000110000
322022101120201011021100
41100331222333300300
52411020102333222
6103534213524400
76165210016446
oct1207552776060
9268346634240
1086934027312
1133960aa0470
1214a22043700
13827587c362
1442c9a40b96
1523dc1054ac
hex143dabfc30

86934027312 has 120 divisors (see below), whose sum is σ = 265492860048. Its totient is φ = 26335641600.

The previous prime is 86934027311. The next prime is 86934027317. The reversal of 86934027312 is 21372043968.

86934027312 is a `hidden beast` number, since 86 + 93 + 402 + 73 + 12 = 666.

It is not an unprimeable number, because it can be changed into a prime (86934027311) 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, 7142512 + ... + 7154672.

Almost surely, 286934027312 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 86934027312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132746430024).

86934027312 is an abundant number, since it is smaller than the sum of its proper divisors (178558832736).

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

86934027312 is a wasteful number, since it uses less digits than its factorization.

86934027312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16699 (or 16690 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 86934027312 in words is "eighty-six billion, nine hundred thirty-four million, twenty-seven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 4513 9026 12161 13539 18052 24322 27078 36104 36483 40617 48644 49643 54156 72208 72966 81234 97288 99286 108312 109449 133771 145932 148929 162468 194576 198572 216624 218898 267542 291864 297858 324936 397144 401313 437796 446787 535084 583728 595716 649872 794288 802626 875592 893574 1070168 1191432 1203939 1605252 1751184 1787148 2140336 2382864 2407878 3210504 3574296 4815756 6421008 7148592 9631512 19263024 54882593 109765186 164647779 219530372 329295558 439060744 493943337 603708523 658591116 878121488 987886674 1207417046 1317182232 1811125569 1975773348 2414834092 2634364464 3622251138 3951546696 4829668184 5433376707 7244502276 7903093392 9659336368 10866753414 14489004552 21733506828 28978009104 43467013656 86934027312