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86343834368 = 281122787443
BaseRepresentation
bin101000001101001111…
…1100101101100000000
322020212110011020202102
41100122133211230000
52403313010144433
6103355452005532
76144452324351
oct1203237455400
9266773136672
1086343834368
1133688930800
12148984608a8
1381b050856c
1442714cbd28
1523a53c34e8
hex141a7e5b00

86343834368 has 54 divisors (see below), whose sum is σ = 189443056572. Its totient is φ = 39247183360.

The previous prime is 86343834347. The next prime is 86343834383.

86343834368 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1362746 + ... + 1424697.

Almost surely, 286343834368 is an apocalyptic number.

86343834368 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

86343834368 is an abundant number, since it is smaller than the sum of its proper divisors (103099222204).

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

86343834368 is a wasteful number, since it uses less digits than its factorization.

86343834368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2787481 (or 2787456 counting only the distinct ones).

The product of its digits is 23887872, while the sum is 56.

The spelling of 86343834368 in words is "eighty-six billion, three hundred forty-three million, eight hundred thirty-four thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 704 968 1408 1936 2816 3872 7744 15488 30976 2787443 5574886 11149772 22299544 30661873 44599088 61323746 89198176 122647492 178396352 245294984 337280603 356792704 490589968 674561206 713585408 981179936 1349122412 1962359872 2698244824 3924719744 5396489648 7849439488 10792979296 21585958592 43171917184 86343834368