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86397777936 = 24323534633671
BaseRepresentation
bin101000001110110110…
…1010111100000010000
322021000012122212102100
41100131231113200100
52403420312343221
6103405100120400
76146005665261
oct1203555274020
9267005585370
1086397777936
1133706325368
12148b2536100
1381bb744932
144278730968
1523a9ecb926
hex141db57810

86397777936 has 120 divisors (see below), whose sum is σ = 243068656896. Its totient is φ = 28647843840.

The previous prime is 86397777863. The next prime is 86397777941. The reversal of 86397777936 is 63977779368.

86397777936 is a `hidden beast` number, since 86 + 397 + 7 + 77 + 93 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23533381 + ... + 23537051.

Almost surely, 286397777936 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 86397777936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121534328448).

86397777936 is an abundant number, since it is smaller than the sum of its proper divisors (156670878960).

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

86397777936 is a wasteful number, since it uses less digits than its factorization.

86397777936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4501 (or 4492 counting only the distinct ones).

The product of its digits is 504094752, while the sum is 72.

The spelling of 86397777936 in words is "eighty-six billion, three hundred ninety-seven million, seven hundred seventy-seven thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 353 463 706 926 1059 1389 1412 1852 2118 2778 2824 3177 3671 3704 4167 4236 5556 5648 6354 7342 7408 8334 8472 11013 11112 12708 14684 16668 16944 22026 22224 25416 29368 33039 33336 44052 50832 58736 66078 66672 88104 132156 163439 176208 264312 326878 490317 528624 653756 980634 1295863 1307512 1470951 1699673 1961268 2591726 2615024 2941902 3399346 3887589 3922536 5099019 5183452 5883804 6798692 7775178 7845072 10198038 10366904 11662767 11767608 13597384 15297057 15550356 20396076 20733808 23325534 23535216 27194768 30594114 31100712 40792152 46651068 61188228 62201424 81584304 93302136 122376456 186604272 244752912 599984569 1199969138 1799953707 2399938276 3599907414 4799876552 5399861121 7199814828 9599753104 10799722242 14399629656 21599444484 28799259312 43198888968 86397777936