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86113798793316 = 2235720117629137
BaseRepresentation
bin10011100101000111101110…
…011000110010100001100100
3102021220101202200220020200000
4103211013232120302201210
542241342024442341231
6503052044422421300
724065342132324250
oct2345075630624144
9367811680806600
1086113798793316
1125490725489308
1297a9520b91830
13390865b722cb8
141739d042a3260
159e503e2476e6
hex4e51ee632864

86113798793316 has 144 divisors (see below), whose sum is σ = 258000253021056. Its totient is φ = 24602680364544.

The previous prime is 86113798793311. The next prime is 86113798793383. The reversal of 86113798793316 is 61339789731168.

It is a happy number.

86113798793316 is a `hidden beast` number, since 8 + 6 + 1 + 137 + 98 + 7 + 93 + 316 = 666.

It is a super-4 number, since 4×861137987933164 (a number of 57 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (86113798793311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 136561500 + ... + 137190636.

Almost surely, 286113798793316 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 86113798793316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129000126510528).

86113798793316 is an abundant number, since it is smaller than the sum of its proper divisors (171886454227740).

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

86113798793316 is a wasteful number, since it uses less digits than its factorization.

86113798793316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649280 (or 649266 counting only the distinct ones).

The product of its digits is 246903552, while the sum is 72.

The spelling of 86113798793316 in words is "eighty-six trillion, one hundred thirteen billion, seven hundred ninety-eight million, seven hundred ninety-three thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 756 972 1134 1701 2268 3402 6804 20117 40234 60351 80468 120702 140819 181053 241404 281638 362106 422457 543159 563276 629137 724212 844914 1086318 1258274 1267371 1629477 1689828 1887411 2172636 2516548 2534742 3258954 3774822 3802113 4403959 4888431 5069484 5662233 6517908 7549644 7604226 8807918 9776862 11324466 11406339 13211877 15208452 16986699 17615836 19553724 22648932 22812678 26423754 33973398 34219017 39635631 45625356 50960097 52847508 67946796 68438034 79271262 101920194 118906893 136876068 152880291 158542524 203840388 237813786 305760582 356720679 475627572 611521164 713441358 1070162037 1426882716 2140324074 4280648148 12656349029 25312698058 37969047087 50625396116 75938094174 88594443203 113907141261 151876188348 177188886406 227814282522 265783329609 341721423783 354377772812 455628565044 531566659218 683442847566 797349988827 1025164271349 1063133318436 1366885695132 1594699977654 2050328542698 2392049966481 3075492814047 3189399955308 4100657085396 4784099932962 6150985628094 7176149899443 9568199865924 12301971256188 14352299798886 21528449698329 28704599597772 43056899396658 86113798793316