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86433355333468 = 221113672255332307
BaseRepresentation
bin10011101001110001010101…
…011100001111111101011100
3102100000221121010220110010001
4103221301111130033331130
542312111002431132333
6503454534004224044
724130414056153643
oct2351612534177534
9370027533813101
1086433355333468
11255a41a8855690
12983b44399b024
13392c8270ac650
14174b57a85235a
159ed4e3776b7d
hex4e9c5570ff5c

86433355333468 has 48 divisors (see below), whose sum is σ = 180354414006144. Its totient is φ = 35724463727040.

The previous prime is 86433355333439. The next prime is 86433355333471.

86433355333468 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×864333553334683 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1127627830 + ... + 1127704477.

It is an arithmetic number, because the mean of its divisors is an integer number (3757383625128).

Almost surely, 286433355333468 is an apocalyptic number.

It is an amenable number.

86433355333468 is an abundant number, since it is smaller than the sum of its proper divisors (93921058672676).

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

86433355333468 is a wasteful number, since it uses less digits than its factorization.

86433355333468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2255332402 (or 2255332400 counting only the distinct ones).

The product of its digits is 671846400, while the sum is 64.

The spelling of 86433355333468 in words is "eighty-six trillion, four hundred thirty-three billion, three hundred fifty-five million, three hundred thirty-three thousand, four hundred sixty-eight".

Divisors: 1 2 4 11 13 22 26 44 52 67 134 143 268 286 572 737 871 1474 1742 2948 3484 9581 19162 38324 2255332307 4510664614 9021329228 24808655377 29319319991 49617310754 58638639982 99234621508 117277279964 151107264569 302214529138 322512519901 604429058276 645025039802 1290050079604 1662179910259 1964394439397 3324359820518 3928788878794 6648719641036 7857577757588 21608338833367 43216677666734 86433355333468