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86147674812 = 2232193135911317
BaseRepresentation
bin101000000111011001…
…1010011001010111100
322020100210001022102200
41100032303103022330
52402412301043222
6103324203351500
76136551103533
oct1201663231274
9266323038380
1086147674812
1133598131171
1214842822590
13817b997314
14425342931a
152393076eac
hex140ecd32bc

86147674812 has 144 divisors (see below), whose sum is σ = 237297715200. Its totient is φ = 26251309440.

The previous prime is 86147674807. The next prime is 86147674849. The reversal of 86147674812 is 21847674168.

86147674812 is a `hidden beast` number, since 8 + 61 + 47 + 67 + 481 + 2 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7606578 + ... + 7617894.

It is an arithmetic number, because the mean of its divisors is an integer number (1647900800).

Almost surely, 286147674812 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 86147674812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118648857600).

86147674812 is an abundant number, since it is smaller than the sum of its proper divisors (151150040388).

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

86147674812 is a wasteful number, since it uses less digits than its factorization.

86147674812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11736 (or 11731 counting only the distinct ones).

The product of its digits is 3612672, while the sum is 54.

The spelling of 86147674812 in words is "eighty-six billion, one hundred forty-seven million, six hundred seventy-four thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 19 31 36 38 57 62 76 93 114 124 171 186 228 279 342 359 372 558 589 684 718 1077 1116 1178 1436 1767 2154 2356 3231 3534 4308 5301 6462 6821 7068 10602 11129 11317 12924 13642 20463 21204 22258 22634 27284 33387 33951 40926 44516 45268 61389 66774 67902 81852 100161 101853 122778 133548 135804 200322 203706 211451 215023 245556 350827 400644 407412 422902 430046 634353 645069 701654 845804 860092 1052481 1268706 1290138 1403308 1903059 1935207 2104962 2537412 2580276 3157443 3806118 3870414 4062803 4209924 6314886 6665713 7612236 7740828 8125606 12188409 12629772 13331426 16251212 19997139 24376818 26662852 36565227 39994278 48753636 59991417 73130454 77193257 79988556 119982834 125946893 146260908 154386514 231579771 239965668 251893786 308773028 377840679 463159542 503787572 694739313 755681358 926319084 1133522037 1389478626 1511362716 2267044074 2392990967 2778957252 4534088148 4785981934 7178972901 9571963868 14357945802 21536918703 28715891604 43073837406 86147674812