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86226341520 = 24351132661493
BaseRepresentation
bin101000001001101111…
…1011000111010010000
322020120021001222212110
41100103133120322100
52403042420412040
6103340053425320
76141524544534
oct1202337307220
9266507058773
1086226341520
1133628581680
121486503b240
13819207b877
14425da65bc4
152399e15980
hex14137d8e90

86226341520 has 80 divisors (see below), whose sum is σ = 291601818432. Its totient is φ = 20903354880.

The previous prime is 86226341501. The next prime is 86226341521. The reversal of 86226341520 is 2514362268.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (86226341521) by changing a digit.

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, 16328107 + ... + 16333386.

Almost surely, 286226341520 is an apocalyptic number.

86226341520 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86226341520 is an abundant number, since it is smaller than the sum of its proper divisors (205375476912).

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

86226341520 is a wasteful number, since it uses less digits than its factorization.

86226341520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32661520 (or 32661514 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 86226341520 in words is "eighty-six billion, two hundred twenty-six million, three hundred forty-one thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 32661493 65322986 97984479 130645972 163307465 195968958 261291944 326614930 359276423 391937916 489922395 522583888 653229860 718552846 783875832 979844790 1077829269 1306459720 1437105692 1567751664 1796382115 1959689580 2155658538 2612919440 2874211384 3592764230 3919379160 4311317076 5389146345 5748422768 7185528460 7838758320 8622634152 10778292690 14371056920 17245268304 21556585380 28742113840 43113170760 86226341520