Search a number
-
+
86517194080 = 2552959316033
BaseRepresentation
bin101000010010011010…
…0111001110101100000
322021022112100211120111
41100210310321311200
52404141400202310
6103425003421104
76151656005302
oct1204464716540
9267275324514
1086517194080
1133767778499
1214926524794
13820a3c5b85
14428a537972
1523b571928a
hex1424d39d60

86517194080 has 96 divisors (see below), whose sum is σ = 215029533600. Its totient is φ = 32847101952.

The previous prime is 86517194009. The next prime is 86517194131. The reversal of 86517194080 is 8049171568.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115744 + ... + 431776.

It is an arithmetic number, because the mean of its divisors is an integer number (2239890975).

Almost surely, 286517194080 is an apocalyptic number.

86517194080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86517194080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107514766800).

86517194080 is an abundant number, since it is smaller than the sum of its proper divisors (128512339520).

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

86517194080 is a wasteful number, since it uses less digits than its factorization.

86517194080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316136 (or 316128 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 49.

The spelling of 86517194080 in words is "eighty-six billion, five hundred seventeen million, one hundred ninety-four thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 59 80 116 118 145 160 232 236 290 295 464 472 580 590 928 944 1160 1180 1711 1888 2320 2360 3422 4640 4720 6844 8555 9440 13688 17110 27376 34220 54752 68440 136880 273760 316033 632066 1264132 1580165 2528264 3160330 5056528 6320660 9164957 10113056 12641320 18329914 18645947 25282640 36659828 37291894 45824785 50565280 73319656 74583788 91649570 93229735 146639312 149167576 183299140 186459470 293278624 298335152 366598280 372918940 540732463 596670304 733196560 745837880 1081464926 1466393120 1491675760 2162929852 2703662315 2983351520 4325859704 5407324630 8651719408 10814649260 17303438816 21629298520 43258597040 86517194080