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86747781168 = 2433433463753
BaseRepresentation
bin101000011001010010…
…0100001100000110000
322021220121020212121000
41100302210201200300
52410124412444133
6103503522002000
76160455654666
oct1206244414060
9267817225530
1086747781168
1133875951a34
121498b7a6300
1382460cc439
1442acddcc36
1523caab6413
hex1432921830

86747781168 has 80 divisors (see below), whose sum is σ = 249573852640. Its totient is φ = 28849084416.

The previous prime is 86747781163. The next prime is 86747781179. The reversal of 86747781168 is 86118774768.

86747781168 is a `hidden beast` number, since 86 + 7 + 477 + 81 + 1 + 6 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (86747781161) 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, 44821 + ... + 418932.

It is an arithmetic number, because the mean of its divisors is an integer number (3119673158).

Almost surely, 286747781168 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 86747781168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124786926320).

86747781168 is an abundant number, since it is smaller than the sum of its proper divisors (162826071472).

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

86747781168 is a wasteful number, since it uses less digits than its factorization.

86747781168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464203 (or 464191 counting only the distinct ones).

The product of its digits is 25288704, while the sum is 63.

Subtracting from 86747781168 its reverse (86118774768), we obtain a square (629006400 = 250802).

The spelling of 86747781168 in words is "eighty-six billion, seven hundred forty-seven million, seven hundred eighty-one thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 433 866 1299 1732 2598 3464 3897 5196 6928 7794 10392 11691 15588 20784 23382 31176 46764 62352 93528 187056 463753 927506 1391259 1855012 2782518 3710024 4173777 5565036 7420048 8347554 11130072 12521331 16695108 22260144 25042662 33390216 50085324 66780432 100170648 200341296 200805049 401610098 602415147 803220196 1204830294 1606440392 1807245441 2409660588 3212880784 3614490882 4819321176 5421736323 7228981764 9638642352 10843472646 14457963528 21686945292 28915927056 43373890584 86747781168