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86225247160 = 235132934331307
BaseRepresentation
bin101000001001101101…
…1001101101110111000
322020120012000101200121
41100103123031232320
52403042130402120
6103340014143024
76141512336143
oct1202333155670
9266505011617
1086225247160
11336279a4448
12148647b1a74
138191a87710
14425d85d05a
152399c9b5aa
hex14136cdbb8

86225247160 has 128 divisors (see below), whose sum is σ = 210288415680. Its totient is φ = 31630860288.

The previous prime is 86225247139. The next prime is 86225247179. The reversal of 86225247160 is 6174252268.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65971227 + ... + 65972533.

Almost surely, 286225247160 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 86225247160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105144207840).

86225247160 is an abundant number, since it is smaller than the sum of its proper divisors (124063168520).

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

86225247160 is a wasteful number, since it uses less digits than its factorization.

86225247160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2057 (or 2053 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 43.

The spelling of 86225247160 in words is "eighty-six billion, two hundred twenty-five million, two hundred forty-seven thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 293 433 520 586 866 1172 1307 1465 1732 2165 2344 2614 2930 3464 3809 4330 5228 5629 5860 6535 7618 8660 10456 11258 11720 13070 15236 16991 17320 19045 22516 26140 28145 30472 33982 38090 45032 52280 56290 67964 76180 84955 112580 126869 135928 152360 169910 225160 253738 339820 382951 507476 565931 634345 679640 765902 1014952 1131862 1268690 1531804 1649297 1914755 2263724 2537380 2829655 3063608 3298594 3829510 4527448 4978363 5074760 5659310 6597188 7357103 7659020 8246485 9956726 11318620 13194376 14714206 15318040 16492970 19913452 22637240 24891815 29428412 32985940 36785515 39826904 49783630 58856824 65971880 73571030 99567260 147142060 165817783 199134520 294284120 331635566 663271132 829088915 1326542264 1658177830 2155631179 3316355660 4311262358 6632711320 8622524716 10778155895 17245049432 21556311790 43112623580 86225247160