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86751094640 = 24571399110731
BaseRepresentation
bin101000011001011000…
…1001010011101110000
322021220211111012211012
41100302301022131300
52410131240012030
6103504121010052
76160526065160
oct1206261123560
9267824435735
1086751094640
1133877805441
1214990923928
1382469bc682
1442ad6225a0
1523cb01d095
hex1432c4a770

86751094640 has 80 divisors (see below), whose sum is σ = 230676902400. Its totient is φ = 29721703680.

The previous prime is 86751094601. The next prime is 86751094649. The reversal of 86751094640 is 4649015768.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86751094649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 728075 + ... + 838805.

It is an arithmetic number, because the mean of its divisors is an integer number (2883461280).

Almost surely, 286751094640 is an apocalyptic number.

86751094640 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 86751094640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115338451200).

86751094640 is an abundant number, since it is smaller than the sum of its proper divisors (143925807760).

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

86751094640 is a wasteful number, since it uses less digits than its factorization.

86751094640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112150 (or 112144 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 50.

The spelling of 86751094640 in words is "eighty-six billion, seven hundred fifty-one million, ninety-four thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 1399 2798 5596 6995 9793 11192 13990 19586 22384 27980 39172 48965 55960 78344 97930 110731 111920 156688 195860 221462 391720 442924 553655 775117 783440 885848 1107310 1550234 1771696 2214620 3100468 3875585 4429240 6200936 7751170 8858480 12401872 15502340 31004680 62009360 154912669 309825338 619650676 774563345 1084388683 1239301352 1549126690 2168777366 2478602704 3098253380 4337554732 5421943415 6196506760 8675109464 10843886830 12393013520 17350218928 21687773660 43375547320 86751094640