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86919786036 = 2232231972332287
BaseRepresentation
bin101000011110011010…
…0101010111000110100
322022100120220121220200
41100330310222320310
52411002431123121
6103532544400500
76164644663626
oct1207464527064
9268316817820
1086919786036
1133953a53816
1214a19316130
138272934175
1442c7bb4c16
1523dac40a26
hex143cd2ae34

86919786036 has 144 divisors (see below), whose sum is σ = 231520633344. Its totient is φ = 27442533888.

The previous prime is 86919786017. The next prime is 86919786089. The reversal of 86919786036 is 63068791968.

86919786036 is a `hidden beast` number, since 8 + 6 + 9 + 19 + 7 + 8 + 603 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38004885 + ... + 38007171.

It is an arithmetic number, because the mean of its divisors is an integer number (1607782176).

Almost surely, 286919786036 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 86919786036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115760316672).

86919786036 is an abundant number, since it is smaller than the sum of its proper divisors (144600847308).

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

86919786036 is a wasteful number, since it uses less digits than its factorization.

86919786036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2750 (or 2745 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 86919786036 in words is "eighty-six billion, nine hundred nineteen million, seven hundred eighty-six thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 197 207 233 276 394 414 466 591 699 788 828 932 1182 1398 1773 2097 2287 2364 2796 3546 4194 4531 4574 5359 6861 7092 8388 9062 9148 10718 13593 13722 16077 18124 20583 21436 27186 27444 32154 40779 41166 45901 48231 52601 54372 64308 81558 82332 91802 96462 105202 137703 157803 163116 183604 192924 210404 275406 315606 413109 450539 473409 532871 550812 631212 826218 901078 946818 1055723 1065742 1351617 1598613 1652436 1802156 1893636 2111446 2131484 2703234 3167169 3197226 4054851 4222892 4795839 5406468 6334338 6394452 8109702 9501507 9591678 10362397 12256033 12668676 16219404 19003014 19183356 20724794 24512066 31087191 36768099 38006028 41449588 49024132 62174382 73536198 93261573 104975587 110304297 124348764 147072396 186523146 209951174 220608594 314926761 373046292 419902348 441217188 629853522 944780283 1259707044 1889560566 2414438501 3779121132 4828877002 7243315503 9657754004 14486631006 21729946509 28973262012 43459893018 86919786036