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86212735880 = 235127109315527
BaseRepresentation
bin101000001001010101…
…1011111001110001000
322020112022110202102212
41100102223133032020
52403030430022010
6103334450044252
76141301110125
oct1202253371610
9266468422385
1086212735880
1133620929547
1214860579688
13818c2c6aab
14425bd2374c
152398b29505
hex1412adf388

86212735880 has 64 divisors (see below), whose sum is σ = 195697520640. Its totient is φ = 34180054272.

The previous prime is 86212735781. The next prime is 86212735901. The reversal of 86212735880 is 8853721268.

It is a happy number.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5544677 + ... + 5560203.

It is an arithmetic number, because the mean of its divisors is an integer number (3057773760).

Almost surely, 286212735880 is an apocalyptic number.

It is an amenable number.

86212735880 is an abundant number, since it is smaller than the sum of its proper divisors (109484784760).

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

86212735880 is a wasteful number, since it uses less digits than its factorization.

86212735880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16758 (or 16754 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 50.

The spelling of 86212735880 in words is "eighty-six billion, two hundred twelve million, seven hundred thirty-five thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 127 254 508 635 1016 1093 1270 2186 2540 4372 5080 5465 8744 10930 15527 21860 31054 43720 62108 77635 124216 138811 155270 277622 310540 555244 621080 694055 1110488 1388110 1971929 2776220 3943858 5552440 7887716 9859645 15775432 16971011 19719290 33942022 39438580 67884044 78877160 84855055 135768088 169710110 339420220 678840440 2155318397 4310636794 8621273588 10776591985 17242547176 21553183970 43106367940 86212735880